372 results on '"Nahm, Werner"'
Search Results
2. 3D-Localization of Single Point-Like Gamma Sources with a Coded Aperture Camera
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Meißner, Tobias, Cerbone, Laura Antonia, Russo, Paolo, Nahm, Werner, and Hesser, Jürgen
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Physics - Medical Physics - Abstract
3D-localization of gamma sources has the potential to improve the outcome of radio-guided surgery. The goal of this paper is to analyze the localization accuracy for point-like sources with a single coded aperture camera. We both simulated and measured a point-like $^{241}$Am source at $17$ positions distributed within the field of view of an experimental gamma camera. The setup includes a 0.11mm thick tungsten sheet with a MURA mask of rank $31$ and pinholes of $0.08$mm in diameter and a detector based on the photon counting readout circuit Timepix3. Two methods, namely an iterative search (ISL) including either a symmetric Gaussian fitting or an exponentially modified Gaussian fitting (EMG) and a center of mass method were compared to estimate the 3D source position. Considering the decreasing axial resolution with source-to-mask distance, the EMG improved the results by a factor of $4$ compared to the Gaussian fitting based on the simulated data. Overall, we obtained a mean localization error of $0.77$mm on the simulated and $2.64$mm on the experimental data in the imaging range of $20$mm to $100$ mm. This paper shows that despite the low axial resolution, point-like sources in the nearfield can be localized as well as with more sophisticated imaging devices such as stereo cameras. The influence of the source size and the photon count on the imaging and localization accuracy remains an important issue for further research. The acquired datasets and the localization methods of this research are publicly available on GitHub at "https://zenodo.org/records/11449544"., Comment: 19 pages, 5 figures, 2 tables. Submitted to the IOP Physics in Medicine and Biology
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- 2024
3. A touch of quantum field theory
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Nahm, Werner
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Mathematical Physics - Abstract
The overlap of Srinivasa Ramanujan's work with quantum field theory is discussed. A mathematically natural axiom for euclidean quantum field theories is proposed.
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- 2024
4. Assessment of the Axial Resolution of a Compact Gamma Camera with Coded Aperture Collimator
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Meißner, Tobias, Cerbone, Laura Antonia, Russo, Paolo, Nahm, Werner, and Hesser, Jürgen
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Physics - Medical Physics - Abstract
Purpose: Handheld gamma cameras with coded aperture collimators are under investigation for intraoperative imaging in nuclear medicine. Coded apertures are a promising collimation technique for applications such as lymph node localization due to their high sensitivity and the possibility of 3D imaging. We evaluated the axial resolution and computational performance of two reconstruction methods. Methods: An experimental gamma camera was set up consisting of the pixelated semiconductor detector Timepix3 and MURA mask of rank $31$ with round holes of $0.08$mm in diameter in a $0.11$mm thick Tungsten sheet. A set of measurements was taken where a point-like gamma source was placed centrally at $21$ different positions within the range of $12$ to $100$mm. For each source position, the detector image was reconstructed in $0.5$mm steps around the true source position, resulting in an image stack. The axial resolution was assessed by the full width at half maximum (FWHM) of the contrast-to-noise ratio (CNR) profile along the z-axis of the stack. Two reconstruction methods were compared: MURA Decoding and a 3D maximum likelihood expectation maximization algorithm (3D-MLEM). Results: While taking $4{,}400$ times longer in computation, 3D-MLEM yielded a smaller axial FWHM and a higher CNR. The axial resolution degraded from $5.3$mm and $1.8$mm at $12$mm to $42.2$mm and $13.5$mm at $100$mm for MURA Decoding and 3D-MLEM respectively. Conclusion: Our results show that the coded aperture enables the depth estimation of single point-like sources in the near field. Here, 3D-MLEM offered a better axial resolution but was computationally much slower than MURA Decoding, whose reconstruction time is compatible with real-time imaging.
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- 2024
5. Impact of Data Synthesis Strategies for the Classification of Craniosynostosis
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Schaufelberger, Matthias, Kühle, Reinald Peter, Wachter, Andreas, Weichel, Frederic, Hagen, Niclas, Ringwald, Friedemann, Eisenmann, Urs, Hoffmann, Jürgen, Engel, Michael, Freudlsperger, Christian, and Nahm, Werner
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Electrical Engineering and Systems Science - Image and Video Processing - Abstract
Introduction: Photogrammetric surface scans provide a radiation-free option to assess and classify craniosynostosis. Due to the low prevalence of craniosynostosis and high patient restrictions, clinical data is rare. Synthetic data could support or even replace clinical data for the classification of craniosynostosis, but this has never been studied systematically. Methods: We test the combinations of three different synthetic data sources: a statistical shape model (SSM), a generative adversarial network (GAN), and image-based principal component analysis for a convolutional neural network (CNN)-based classification of craniosynostosis. The CNN is trained only on synthetic data, but validated and tested on clinical data. Results: The combination of a SSM and a GAN achieved an accuracy of more than 0.96 and a F1-score of more than 0.95 on the unseen test set. The difference to training on clinical data was smaller than 0.01. Including a second image modality improved classification performance for all data sources. Conclusion: Without a single clinical training sample, a CNN was able to classify head deformities as accurate as if it was trained on clinical data. Using multiple data sources was key for a good classification based on synthetic data alone. Synthetic data might play an important future role in the assessment of craniosynostosis.
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- 2023
6. On the direct image of the adjoint line bundle
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Biswas, Indranil, Laytimi, Fatima, Nagaraj, D. S., and Nahm, Werner
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Mathematics - Algebraic Geometry ,14F17, 14J60 - Abstract
We give an algebraic-geometric proof of the fact that for a smooth fibration $\pi: X \longrightarrow Y$ of projective varieties, the direct image $\pi_*(L\otimes K_{X/Y})$ of the adjoint line bundle of an ample (respectively, nef and $\pi$-strongly big) line bundle $L$ is ample (respectively, nef and big).
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- 2023
7. Simulation Study on Super-Resolution for Coded Aperture Gamma Imaging
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Meißner, Tobias, Nahm, Werner, Hesser, Jürgen, and Löw, Nikolas
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Physics - Medical Physics - Abstract
Coded Aperture Imaging (CAI) has been proposed as an alternative collimation technique in nuclear imaging. To maximize spatial resolution small pinholes in the coded aperture mask are required. However, a high-resolution detector is needed to correctly sample the point spread function (PSF) to keep the Nyquist-Shannon sampling theorem satisfied. The disadvantage of smaller pixels, though, is the resulting higher Poisson noise. Thus, the aim of this paper was to investigate if sufficiently accurate CAI reconstruction is achievable with a detector which undersamples the PSF. With the Monte Carlo simulation framework TOPAS a test image with multiple spheres of different diameter was simulated based on the setup of an experimental gamma camera from previous work. Additionally, measured phantom data were acquired. The captured detector images were converted to low-resolution images of different pixel sizes according to the super-resolution factor $k$. Multiple analytical reconstruction methods and a Machine Learning approach were compared based on the contrast-to-noise ratio (CNR). We show, that all reconstruction methods are able to reconstruct both the test image and the measured phantom data for $k \leq 7$. With a synthetic high-resolution PSF and upsampling the simulated low-resolution detector image by bilinear interpolation the CNR can be kept approximately constant. Results of this simulation study and additional validation on measured phantom data indicate that an undersampling detector can be combined with small aperture holes. However, further experiments need to be conducted., Comment: 7 pages, 8 figures
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- 2023
8. Texture synthesis for generating realistic-looking bronchoscopic videos
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Guo, Lu and Nahm, Werner
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- 2023
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9. On anti-ample vector bundles and nef and big vector bundles
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Biswas, Indranil, Laytimi, Fatima, Nagaraj, D.S., and Nahm, Werner
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- 2024
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10. A statistical shape model for radiation-free assessment and classification of craniosynostosis
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Schaufelberger, Matthias, Kühle, Reinald Peter, Wachter, Andreas, Weichel, Frederic, Hagen, Niclas, Ringwald, Friedemann, Eisenmann, Urs, Hoffmann, Jürgen, Engel, Michael, Freudlsperger, Christian, and Nahm, Werner
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Electrical Engineering and Systems Science - Image and Video Processing ,Computer Science - Computer Vision and Pattern Recognition - Abstract
The assessment of craniofacial deformities requires patient data which is sparsely available. Statistical shape models provide realistic and synthetic data enabling comparisons of existing methods on a common dataset. We build the first publicly available statistical 3D head model of craniosynostosis patients and the first model focusing on infants younger than 1.5 years. We further present a shape-model-based classification pipeline to distinguish between three different classes of craniosynostosis and a control group on photogrammetric surface scans. To the best of our knowledge, our study uses the largest dataset of craniosynostosis patients in a classification study for craniosynostosis and statistical shape modeling to date. We demonstrate that our shape model performs similar to other statistical shape models of the human head. Craniosynostosis-specific pathologies are represented in the first eigenmodes of the model. Regarding the automatic classification of craniosynostis, our classification approach yields an accuracy of 97.8%, comparable to other state-of-the-art methods using both computed tomography scans and stereophotogrammetry. Our publicly available, craniosynostosis-specific statistical shape model enables the assessment of craniosynostosis on realistic and synthetic data. We further present a state-of-the-art shape-model-based classification approach for a radiation-free diagnosis of craniosynostosis.
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- 2022
11. Workflow Augmentation of Video Data for Event Recognition with Time-Sensitive Neural Networks
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Wachter, Andreas and Nahm, Werner
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Electrical Engineering and Systems Science - Image and Video Processing ,Computer Science - Artificial Intelligence ,Computer Science - Computer Vision and Pattern Recognition ,Computer Science - Machine Learning - Abstract
Supervised training of neural networks requires large, diverse and well annotated data sets. In the medical field, this is often difficult to achieve due to constraints in time, expert knowledge and prevalence of an event. Artificial data augmentation can help to prevent overfitting and improve the detection of rare events as well as overall performance. However, most augmentation techniques use purely spatial transformations, which are not sufficient for video data with temporal correlations. In this paper, we present a novel methodology for workflow augmentation and demonstrate its benefit for event recognition in cataract surgery. The proposed approach increases the frequency of event alternation by creating artificial videos. The original video is split into event segments and a workflow graph is extracted from the original annotations. Finally, the segments are assembled into new videos based on the workflow graph. Compared to the original videos, the frequency of event alternation in the augmented cataract surgery videos increased by 26%. Further, a 3% higher classification accuracy and a 7.8% higher precision was achieved compared to a state-of-the-art approach. Our approach is particularly helpful to increase the occurrence of rare but important events and can be applied to a large variety of use cases., Comment: Submitted to Medical Image Analysis
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- 2021
12. Multi-Height Extraction of Clinical Parameters Improves Classification of Craniosynostosis
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Becker Anna Maria, Schaufelberger Matthias, Kühle Reinald Peter, Freudlsperger Christian, and Nahm Werner
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craniosynostosis ,classification ,clinical parameters ,cranial index ,cranial vault asymmetry index ,Medicine - Abstract
Introduction: 3D surface scan-based diagnosis of craniosynostosis is a promising radiation-free alternative to traditional diagnosis using computed tomography. The cranial index (CI) and the cranial vault asymmetry index (CVAI) are well-established clinical parameters that are widely used. However, they also have the benefit of being easily adaptable for automatic diagnosis without the need of extensive preprocessing. Methods: We propose a multi-height-based classification approach that uses CI and CVAI in different height layers and compare it to the initial approach using only one layer. We use ten-fold cross-validation and test seven different classifiers. The dataset of 504 patients consists of three types of craniosynostosis and a control group consisting of healthy and non-synostotic subjects. Results: The multi-height-based approach improved classification for all classifiers. The k-nearest neighbors classifier scored best with a mean accuracy of 89% and a mean F1-score of 0.75. Conclusion: Taking height into account is beneficial for the classification. Based on accepted and widely used clinical parameters, this might be a step towards an easy-to-understand and transparent classification approach for both physicians and patients.
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- 2023
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13. A Statistical Shape Model Pipeline to Enable the Creation of Synthetic 3D Liver Data
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Krnjaca Denis, Krames Lorena, Schaufelberger Matthias, and Nahm Werner
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liver ,statistical shape model ,template morphing ,shape analysis ,synthetic data ,Medicine - Abstract
The application of machine learning approaches in medical technology is gaining more and more attention. Due to the high restrictions for collecting intraoperative patient data, synthetic data is increasingly used to support the training of artificial neural networks. We present a pipeline to create a statistical shape model (SSM) using 28 segmented clinical liver CT scans. Our pipeline consists of four steps: data preprocessing, rigid alignment, template morphing, and statistical modeling. We compared two different template morphing approaches: Laplace-Beltrami-regularized projection (LBRP) and nonrigid iterative closest points translational (N-ICP-T) and evaluated both morphing approaches and their corresponding shape model performance using six metrics. LBRP achieved a smaller mean vertex-to-nearest-neighbor distances (2.486±0.897 mm) than N-ICP-T (5.559±2.413 mm). Generalization and specificity errors for LBRP were consistently lower than those of N-ICP-T. The first principal components of the SSM showed realistic anatomical variations. The performance of the SSM was comparable to a state-of-the-art model.
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- 2023
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14. Using Hydrogel Beads as a Blood Model in Optical Coherence Tomography
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Hentschel Gesine, Weiß Miriam, Hoffmann Simon, Nahm Werner, and Glasmacher Birgit
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optical models ,phantoms ,hydrogel beads ,biphase fluids ,optical coherence tomography ,Medicine - Abstract
Optical Coherence Tomography (OCT) is a standard imaging procedure in ophthalmology. OCT Angiography is a promising extension, allowing for fast and non-invasive imaging of the retinal vasculature analyzing multiple OCT scans at the same place. Local variance is examined and highlighted. Despite its introduction in the clinic, unanswered questions remain when it comes to signal generation. Multiphase fluids like intralipid, milk-water solutions and human blood cells were applied in phantom studies shedding light on some of the mechanisms. The use of hydrogel beads allows for the generation of alternative blood models for OCT and OCT Angiography. Beads were produced in Hannover, their size was measured and their long term stability was assessed. Then, beads were shipped to Karlsruhe, where OCT imaging resulted in first insights. The hydrogel acts as a diffusion barrier, which enables a clear distinction of bead and fluid when scattering particles were added. Further on, the scattering medium below the bead showed increased signal intensity. We conclude that the inside of the bead structure shows enhanced transmission compared to the plasma substitute with dissolved TiO2 surrounding it. Beads were found clumped and deformed after shipping, an issue to be addressed in further investigations. Nevertheless, hydrogel beads are promising as a blood model for OCT Angiography investigations, offering tunable optical parameters within the blood substitute solution.
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- 2023
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15. Reduction of Uncertainty in Bolus Transit Time Measurement in Quantitative Fluorescence Angiography
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Gao Yang, Weiß Miriam, and Nahm Werner
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icg ,quantitative fluorescence angiography ,qfa ,neurosurgery ,non-contact ,blood flow measurement ,uncertainty reduction ,Medicine - Abstract
During cerebral revascularization surgeries, blood flow values help surgeons to monitor the quality of the procedure, e.g., to avoid cerebral hyperperfusion syndrome due to excessively enhanced perfusion. The state-of-the-art technique is the ultrasonic flow probe that has to be placed around the blood vessel. This causes contact between probe and vessel, which, in the worst case, leads to rupture. The recently developed intraoperative indocyanine green (ICG) Quantitative Fluorescence Angiography (QFA) is an alternative technique that overcomes this risk. However, it has been shown by the developer that the calculated flow has deviations. After determining the bolus transit time as the most sensitive parameter in flow calculation, we propose a new two-step uncertainty reduction method for flow calculation. The first step is to generate more data in each measurement that results in functions of the parameters. Noise can then be reduced in a second step. Two methods for this step are compared. The first method fits the model for each parameter function separately and calculates flow from models, while the second one fits multiple parameter functions together. The latter method is proven to perform best by in silico tests. Besides, this method reduces the deviation of flow comparing to original QFA as expected. Our approach can be generally used in all QFA applications using two-point theory. Further development is possible if number of dimensions of the achieved parameter data are broadened that results in even more data for processing in the second step.
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- 2023
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16. A cGAN-based network for depth estimation from bronchoscopic images
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Guo, Lu and Nahm, Werner
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- 2023
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17. Generative-Adversarial-Network-Based Data Augmentation for the Classification of Craniosynostosis
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Kaiser Christian, Schaufelberger Matthias, Kühle Reinald Peter, Wachter Andreas, Weichel Frederic, Hagen Niclas, Ringwald Friedemann, Eisenmann Urs, Engel Michael, Freudlsperger Christian, and Nahm Werner
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generative adversarial network ,classification ,craniosynostosis ,data augmentation ,Medicine - Abstract
Craniosynostosis is a congenital disease characterized by the premature closure of one or multiple sutures of the infant’s skull. For diagnosis, 3D photogrammetric scans are a radiation-free alternative to computed tomography. However, data is only sparsely available and the role of data augmentation for the classification of craniosynostosis has not yet been analyzed. In this work, we use a 2D distance map representation of the infants’ heads with a convolutional-neural-network-based classifier and employ a generative adversarial network (GAN) for data augmentation. We simulate two data scarcity scenarios with 15% and 10% training data and test the influence of different degrees of added synthetic data and balancing underrepresented classes. We used total accuracy and F1-score as a metric to evaluate the final classifiers. For 15% training data, the GAN-augmented dataset showed an increased F1-score up to 0.1 and classification accuracy up to 3 %. For 10% training data, both metrics decreased. We present a deep convolutional GAN capable of creating synthetic data for the classification of craniosynostosis. Using a moderate amount of synthetic data using a GAN showed slightly better performance, but had little effect overall. The simulated scarcity scenario of 10% training data may have limited the model’s ability to learn the underlying data distribution.
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- 2022
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18. Does the 3D Feature Descriptor Impact The Registration Accuracy in Laparoscopic Liver Surgery?
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Krames Lorena, Suppa Per, and Nahm Werner
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laparoscopic liver surgery ,3d-3d registration ,3d local feature descriptors ,Medicine - Abstract
In laparoscopic liver surgery (LLS) image-guided navigation systems could support the surgeon by providing subsurface information such as the positions of tumors and vessels. For this purpose, one option is to perform a registration of preoperative 3D data and 3D surface patches reconstructed from laparoscopic images. Part of an automatic 3D registration pipeline is the feature description, which takes into account various geometric and spatial information. Since there is no leading feature descriptor in the field of LLS, two feature descriptors are compared in this paper: The Fast Point Feature Histogram (FPFH) and Triple Orthogonal Local Depth Images (TOLDI). To evaluate their performance, three perturbations were induced: varying surface patch sizes, spatial displacement, and Gaussian deformation. Registration was performed using the RANSAC algorithm. FPFH outperformed TOLDI for small surface patches and in case of Gaussian deformations in terms of registration accuracy. In contrast, TOLDI showed lower registration errors for patches with spatial displacement. While developing a 3D-3D registration pipeline, the choice of the feature descriptor is of importance, consequently a careful choice suitable for the application in LLS is necessary.
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- 2022
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19. One Hundred Years of the Cosmological Constant: from 'Superfluous Stunt' to Dark Energy
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O'Raifeartaigh, Cormac, O'Keeffe, Michael, Nahm, Werner, and Mitton, Simon
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Physics - History and Philosophy of Physics ,Astrophysics - Cosmology and Nongalactic Astrophysics ,General Relativity and Quantum Cosmology - Abstract
We present a centennial review of the history of the term known as the cosmological constant. First introduced to the general theory of relativity by Einstein in 1917 in order to describe a universe that was assumed to be static, the term fell from favour in the wake of the discovery of the expanding universe, only to make a dramatic return in recent times. We consider historical and philosophical aspects of the cosmological constant over four main epochs: (i) the use of the term in static cosmologies (both Newtonian and relativistic); (ii) the marginalization of the term following the discovery of cosmic expansion; (iii) the use of the term to address specific cosmic puzzles such as the timespan of expansion, the formation of galaxies and the redshifts of the quasars; (iv) the re-emergence of the term in today's Lamda-CDM cosmology. We find that the cosmological constant was never truly banished from theoretical models of the universe, but was sidelined by astronomers for reasons of convenience. We also find that the return of the term to the forefront of modern cosmology did not occur as an abrupt paradigm shift due to one particular set of observations, but as the result of a number of empirical advances such as the measurement of present cosmic expansion using the Hubble Space Telescope, the measurement of past expansion using type SN 1a supernovae as standard candles, and the measurement of perturbations in the cosmic microwave background by balloon and satellite. We give a brief overview of contemporary interpretations of the physics underlying the cosmic constant and conclude with a synopsis of the famous cosmological constant problem., Comment: 60 pages, 6 figures. Some corrections, additions and extra references. Accepted for publication the European Physical Journal (H)
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- 2017
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20. Rational CFTs on Riemann surfaces
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Leitner, Marianne and Nahm, Werner
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Mathematical Physics ,81T40 - Abstract
The partition function of rational conformal field theories (CFTs) on Riemann surfaces is expected to satisfy ODEs of Gauss-Manin type. We investigate the case of hyperelliptic surfaces and derive the ODE system for the $(2,5)$ minimal model., Comment: 90 pages
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- 2017
21. Einstein's 1917 Static Model of the Universe: A Centennial Review
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O'Raifeartaigh, Cormac, O'Keeffe, Michael, Nahm, Werner, and Mitton, Simon
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Physics - History and Philosophy of Physics ,Astrophysics - Cosmology and Nongalactic Astrophysics - Abstract
We present a historical review of Einstein's 1917 paper 'Cosmological Considerations in the General Theory of Relativity' to mark the centenary of a key work that set the foundations of modern cosmology. We find that the paper followed as a natural next step after Einstein's development of the general theory of relativity and that the work offers many insights into his thoughts on relativity, astronomy and cosmology. Our review includes a description of the observational and theoretical background to the paper; a paragraph-by-paragraph guided tour of the work; a discussion of Einstein's views of issues such as the relativity of inertia, the curvature of space and the cosmological constant. Particular attention is paid to little-known aspects of the paper such as Einstein's failure to test his model against observation, his failure to consider the stability of the model and a mathematical oversight concerning his interpretation of the role of the cosmological constant. We recall the response of theorists and astronomers to Einstein's cosmology in the context of the alternate models of the universe proposed by Willem de Sitter, Alexander Friedman and Georges Lemaitre. Finally, we describe the relevance of the Einstein World in today's 'emergent' cosmologies., Comment: Revised version of paper with some edits and corrections. Accepted for publication in the European Physical Journal (H)
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- 2017
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22. Investigation on Non-Segmentation Based Algorithms for Microvasculature Quantification in OCTA Images
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Abuzer Amr, Naber Ady, Hoffmann Simon, Kessler Lucy, Khoramnia Ramin, and Nahm Werner
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differential box counting ,octa images ,fractal dimensions. ,Medicine - Abstract
Optical Coherence Tomography Angiography (OCTA) is an imaging modality that provides threedimensional information of the retinal microvasculature and therefore promises early diagnosis and sufficient monitoring in ophthalmology. However, there is considerable variability between experts analysing this data. Measures for quantitative assessment of the vasculature need to be developed and established, such as fractal dimension. Fractal dimension can be used to assess the complexity of vessels and has been shown to be independently associated with neovascularization, a symptom of diseases such as diabetic retinopathy. This investigation assessed the performance of three fractal dimension algorithms: Box Counting Dimension (BCD), Information Dimension (ID), and Differential Box Counting (DBC). Two of those, BCD and ID, rely on previous vessel segmentation. Assessment of the added value or disturbance regarding the segmentation step is a second aim of this study. The investigation was performed on a data set composed of 9 in vivo human eyes. Since there is no ground truth available, the performance of the methods in differentiating the Superficial Vascular Complex (SVC) and Deep Vascular Complex (DVC) layers apart and the consistency of measurements of the same layer at different time-points were tested. The performance parameters were the ICC and the Mann- Whitney U tests. The three applied methods were suitable to tell the different layers apart and showed consistent values applied in the same slab. Within the consistency test, the non-segmentation-based method, DBC, was found to be less accurate, expressed in a lower ICC value, compared to its segmentation-based counterparts. This result is thought to be due to the DBC’s higher sensitivity when compared to the other methods. This higher sensitivity might help detect changes in the microvasculature, like neovascularization, but is also more likely prone to noise and artefacts.
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- 2021
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23. Towards Quantitative ICG Angiography: Fluorescence Monte Carlo Multi Cylinder
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Hoffmann Simon, Naber Ady, and Nahm Werner
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monte carlo model ,icg angiography ,blood flow measurement ,intraoperative video processing ,Medicine - Abstract
Intraoperative blood flow measurement is an effective way to assess the quality of bypass surgery. Flow quantification from indocyanine green (ICG) angiography promises to be an easy, contact-free method. It shows deviations compared to a reference. These are given as factor k, which depends on the vessel diameter d. The radiation transport within the vessel while recording the ICG passage might cause this. It is analyzed in silico to disclose its impact on k (d). A Fluorescence Monte Carlo Multi Cylinder (FMCMC) model was developed as a static model, assuming homogeneous concentration of ICG. In contrast to published approaches utilizing a Monte Carlo Multi Layer (MCML) model assuming the deepest penetration location within a photon packet’s path to be the fluorescence location, the events are modeled. Fluorescence event modeling, Multi Cylinder geometry and a homogeneous illumination as well as combinations of these were implemented in separate aspect models. Resulting k (d) were compared to k (d) from MCML. Deviations in k (d) derived from FMCMC and MCML in each aspect model were present. The Root Mean Square Error ranges from 6,8% to 36 %, k (d) also varied comparing the aspect models to each other. The model geometry, the modeled fluorescence location and illumination mode show a clear impact on simulated k (d). Therefore, our study shows that simplifications of previous studies are invalid. The developed FMCMC model considers the named aspects, allowing the analysis of radiation transport in ICG angiography. The FMCMC model assumes a homogeneous concentration of ICG which is not true in clinical cases. Obtaining the heterogeneous distribution of ICG is possible via fluid flow models. Coupling the fluid flow model and the developed radiation transport model as well as including a detailed camera optic is the task for future work.
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- 2021
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24. Laplace-Beltrami Refined Shape Regression Applied to Neck Reconstruction for Craniosynostosis Patients
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Schaufelberger Matthias, Kühle Reinald, Weichel Frederic, Wachter Andreas, Hagen Niclas, Ringwald Friedemann, Eisenmann Urs, Freudlsperger Christian, and Nahm Werner
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statistical shape modeling ,craniosynostosis ,scaphocephaly ,laplace-beltrami ,shape reconstruction ,posterior shape model ,Medicine - Abstract
This contribution is part of a project concerning the creation of an artificial dataset comprising 3D head scans of craniosynostosis patients for a deep-learning-based classification. To conform to real data, both head and neck are required in the 3D scans. However, during patient recording, the neck is often covered by medical staff. Simply pasting an arbitrary neck leaves large gaps in the 3D mesh. We therefore use a publicly available statistical shape model (SSM) for neck reconstruction. However, most SSMs of the head are constructed using healthy subjects, so the full head reconstruction loses the craniosynostosis-specific head shape. We propose a method to recover the neck while keeping the pathological head shape intact. We propose a Laplace- Beltrami-based refinement step to deform the posterior mean shape of the full head model towards the pathological head. The artificial neck is created using the publicly available Liverpool-York-Model. We apply our method to construct artificial necks for head scans of 50 scaphocephaly patients. Our method reduces mean vertex correspondence error by approximately 1.3 mm compared to the ordinary posterior mean shape, preserves the pathological head shape, and creates a continuous transition between neck and head. The presented method showed good results for reconstructing a plausible neck to craniosynostosis patients. Easily generalized it might also be applicable to other pathological shapes.
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- 2021
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25. Automated vessel centerline extraction and diameter measurement in OCT Angiography
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Viertel Bernhard K. J., Naber Ady, Hoffmann Simon, Berwanger Daniel, Kessler Lucy, Khoramnia Ramin, and Nahm Werner
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oct angiography ,vascular quantification ,vessel centerline ,vessel diameter ,Medicine - Abstract
Optical Coherence Tomography Angiography (OCTA) is a non-invasive imaging technique that enables the visualization of perfused vasculature in vivo. In ophthalmology, it allows the physician to monitor diseases affecting the vascular networks of the retina such as agerelated macular degeneration or diabetic retinopathy. Due to the complexity of the vasculature in the retina, it is of interest to automatically extract vascular parameters which describe the condition of the vessels. Suitable parameters could improve the diagnosis and the treatment during the course of therapy. We present an automated algorithm to compute the diameters of the vessels in en face OCTA images. After segmenting the images, the vessel centerline was computed using a thinning algorithm. The centerline was refined by detecting invalid pixels such as spurs and by continuing the centerline until the ends of the vessels. Lastly, the diameter was computed by dilating a discrete circle at the position of the centerline or by measuring the distance between both borders of the vessels. The developed algorithms were applied to in vivo images of human eyes. Certainly, no ground truth was available. Hence, a plausibility check was performed by comparing the measured diameters of two different layers of the retina (Superficial Vascular Complex (SVC) and Deep Vascular Complex (DVC)). Each layer exhibits a different characteristic vasculature. The algorithm clearly reflected the differences from both retinal layers. The measured diameters demonstrate that the DVC consists of more capillaries and considerably smaller vessels compared to the SVC. The presented method enables automated analysis of the retinal vasculature and forms thereby the basis for monitoring diseases influencing the vasculature of the retina. The validation of the method using an artificial ground truth is still needed.
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- 2021
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26. Einstein's cosmology review of 1933: a new perspective on the Einstein-de Sitter model of the cosmos
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O'Raifeartaigh, Cormac, O'Keeffe, Michael, Nahm, Werner, and Mitton, Simon
- Subjects
Physics - History and Philosophy of Physics ,Astrophysics - Cosmology and Nongalactic Astrophysics - Abstract
We present a first English translation and analysis of a little-known review of relativistic cosmology written by Albert Einstein in late 1932. The article, which was published in 1933 in a book of Einstein papers translated into French, contains a substantial review of static and dynamic relativistic models of the cosmos, culminating in a discussion of the Einstein-de Sitter model. The article offers a valuable contemporaneous insight into Einstein's cosmology in the 1930s and confirms that his interest lay in the development of the simplest model of the cosmos that could account for observation, rather than an exploration of all possible cosmic models. The article also confirms that Einstein did not believe that simplistic relativistic models could give an accurate description of the early universe., Comment: Accepted for publication in the European Physical Journal (H). Includes an English translation of a little-known review of cosmology written by Albert Einstein in 1933. 20 pages, 4 figures
- Published
- 2015
- Full Text
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27. Local ischaemia morphology in diabetics differs from healthy controls
- Author
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Hoffmann, Simon, primary, Kessler, Lucy, additional, Khoramnia, Ramin, additional, and Nahm, Werner, additional
- Published
- 2024
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- View/download PDF
28. Impact of data synthesis strategies for the classification of craniosynostosis
- Author
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Schaufelberger, Matthias, primary, Kühle, Reinald Peter, additional, Wachter, Andreas, additional, Weichel, Frederic, additional, Hagen, Niclas, additional, Ringwald, Friedemann, additional, Eisenmann, Urs, additional, Hoffmann, Jürgen, additional, Engel, Michael, additional, Freudlsperger, Christian, additional, and Nahm, Werner, additional
- Published
- 2023
- Full Text
- View/download PDF
29. Einstein's steady-state theory: an abandoned model of the cosmos
- Author
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O'Raifeartaigh, Cormac, McCann, Brendan, Nahm, Werner, and Mitton, Simon
- Subjects
Physics - History and Philosophy of Physics ,Astrophysics - Cosmology and Nongalactic Astrophysics - Abstract
We present a translation and analysis of an unpublished manuscript by Albert Einstein in which he attempted to construct a 'steady-state' model of the universe. The manuscript, which appears to have been written in early 1931, demonstrates that Einstein once explored a cosmic model in which the mean density of matter in an expanding universe is maintained constant by the continuous formation of matter from empty space. This model is very different to previously known Einsteinian models of the cosmos (both static and dynamic) but anticipates the later steady-state cosmology of Hoyle, Bondi and Gold in some ways. We find that Einstein's steady-state model contains a fundamental flaw and suggest that it was abandoned for this reason. We also suggest that he declined to explore a more sophisticated version because he found such theories rather contrived. The manuscript is of historical interest because it reveals that Einstein debated between steady-state and evolving models of the cosmos decades before a similar debate took place in the cosmological community., Comment: 22 pages, 2 figures. Includes first English translation of unpublished Einstein manuscript. Accepted for publication in Eur.Phys.J.(H)
- Published
- 2014
- Full Text
- View/download PDF
30. Simulating a Ground Truth for Transit Time Analysis of Indicator Dilution Curves
- Author
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Reiß Michael, Naber Ady, and Nahm Werner
- Subjects
indicator dilution curves ,ground truth transit time ,in silico model ,Medicine - Abstract
Transit times of a bolus through an organ can provide valuable information for researchers, technicians and clinicians. Therefore, an indicator is injected and the temporal propagation is monitored at two distinct locations. The transit time extracted from two indicator dilution curves can be used to calculate for example blood flow and thus provide the surgeon with important diagnostic information. However, the performance of methods to determine the transit time Δt cannot be assessed quantitatively due to the lack of a sufficient and trustworthy ground truth derived from in vivo measurements. Therefore, we propose a method to obtain an in silico generated dataset of differently subsampled indicator dilution curves with a ground truth of the transit time. This method allows variations on shape, sampling rate and noise while being accurate and easily configurable. COMSOL Multiphysics is used to simulate a laminar flow through a pipe containing blood analogue. The indicator is modelled as a rectangular function of concentration in a segment of the pipe. Afterwards, a flow is applied and the rectangular function will be diluted. Shape varying dilution curves are obtained by discrete-time measurement of the average dye concentration over different cross-sectional areas of the pipe. One dataset is obtained by duplicating one curve followed by subsampling, delaying and applying noise. Multiple indicator dilution curves were simulated, which are qualitatively matching in vivo measurements. The curves temporal resolution, delay and noise level can be chosen according to the requirements of the field of research. Various datasets, each containing two corresponding dilution curves with an existing ground truth transit time, are now available. With additional knowledge or assumptions regarding the detection-specific transfer function, realistic signal characteristics can be simulated. The accuracy of methods for the assessment of Δt can now be quantitatively compared and their sensitivity to noise evaluated.
- Published
- 2020
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31. CFTs on Riemann Surfaces of genus $g\geq 1$: Dependence on moduli
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Leitner, Marianne and Nahm, Werner
- Subjects
Mathematical Physics ,81T40 - Abstract
The dependence of the Virasoro-$N$-point function on the moduli of the Riemann surface is investigated. We propose an algebraic geometric approach that applies to any hyperelliptic Riemann surface., Comment: The paper has grown out of this version and been split into two, with new titles
- Published
- 2013
32. Generation by sections and $k$-ampleness
- Author
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Nahm, Werner and Laytimi, Fatima
- Subjects
Mathematics - Algebraic Geometry ,1991: 14F17 - Abstract
In the article "Submanifold of abelian varieties", A.J. Sommese proved that direct sum and tensor product of two vector bundles $E$ and $F$ over a smooth projective variety are $k$-ample if $E$ and $F$ are $k$-ample and are generated by global sections. Here we show that the latter condition is not needed., Comment: 8 pages
- Published
- 2012
33. Nahm's conjecture and coset models
- Author
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Keegan, Sinéad and Nahm, Werner
- Subjects
Mathematical Physics ,High Energy Physics - Theory - Abstract
When is a $q$-series modular? This is an interesting open question in mathematics that has deep connections to conformal field theory. In this paper we define a particular $r$-fold $q$-hypergeometric series $f_{A,B,C}$, with data given by a matrix $A$, a vector $B$, and a scalar $C$, all rational, and ask when $f_{A,B,C}$ is modular. In the past much work has been done to predict which values of $A$ give rise to modular $f_{A,B,C}$, however there is no straightforward method for calculating corresponding values of $B$. We approach this problem from the point of view of conformal field theory, by considering $(2n+3,2)$--minimal models, and coset models of the form $\hat{su}(2)_k /\hat{u}(1)$. By calculating the characters of these models and comparing them to the functions $f_{A,B,C}$, we succeed in computing appropriate $B$-values in many cases.
- Published
- 2011
34. Integrable deformations of CFTs and the discrete Hirota equations
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Nahm, Werner and Keegan, Sinéad
- Subjects
High Energy Physics - Theory - Abstract
We solve the discrete Hirota equations (Kirillov-Reshetikhin Q-systems) for $A_r$, and their analogue for $D_r$, for the cases where the second variable ranges over either a finite set or over all integers. Until now only special solutions were known. We find all solutions for which no component vanishes, as required in the known applications. As an introduction we present the known solution where the second variable ranges over the natural numbers., Comment: This is a more recent version of a previous submission
- Published
- 2009
35. The Use of Artificial Intelligence for the Classification of Craniofacial Deformities
- Author
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Kuehle, Reinald, primary, Ringwald, Friedemann, additional, Bouffleur, Frederic, additional, Hagen, Niclas, additional, Schaufelberger, Matthias, additional, Nahm, Werner, additional, Hoffmann, Jürgen, additional, Freudlsperger, Christian, additional, Engel, Michael, additional, and Eisenmann, Urs, additional
- Published
- 2023
- Full Text
- View/download PDF
36. On the direct image of the adjoint line bundle
- Author
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Biswas, Indranil, primary, Laytimi, Fatima, additional, Nagaraj, D S, additional, and Nahm, Werner, additional
- Published
- 2023
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37. 3D-2D Distance Maps Conversion Enhances Classification of Craniosynostosis
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Schaufelberger, Matthias, primary, Kaiser, Christian, additional, Kühle, Reinald, additional, Wachter, Andreas, additional, Weichel, Frederic, additional, Hagen, Niclas, additional, Ringwald, Friedemann, additional, Eisenmann, Urs, additional, Hoffmann, Jürgen, additional, Engel, Michael, additional, Freudlsperger, Christian, additional, and Nahm, Werner, additional
- Published
- 2023
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- View/download PDF
38. Towards a fast and accurate simulation framework for 3D spherical source localization in the near field of a coded aperture gamma camera
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Meißner, Tobias, primary, Pietrantonio, Saverio, additional, Nahm, Werner, additional, and Hesser, Jürgen W., additional
- Published
- 2023
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- View/download PDF
39. An Evaluation of Image Feature Detectors Based on Spatial Density and Temporal Robustness in Microsurgical Image Processing
- Author
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Sieler Konstantin, Naber Ady, and Nahm Werner
- Subjects
feature detection ,kaze ,surf ,sift ,harris ,mser ,mineigen ,brisk ,neurovascular ,spatial ,temporal ,Medicine - Abstract
Optical image processing is part of many applications used for brain surgeries. Microscope camera, or patient movement, like brain-movement through the pulse or a change in the liquor, can cause the image processing to fail. One option to compensate movement is feature detection and spatial allocation. This allocation is based on image features. The frame wise matched features are used to calculate the transformation matrix. The goal of this project was to evaluate different feature detectors based on spatial density and temporal robustness to reveal the most appropriate feature. The feature detectors included corner-, and blob-detectors and were applied on nine videos. These videos were taken during brain surgery with surgical microscopes and include the RGB channels. The evaluation showed that each detector detected up to 10 features for nine frames. The feature detector KAZE resulted in being the best feature detector in both density and robustness.
- Published
- 2019
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40. Boundary states and edge currents for free fermions
- Author
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Leitner, Marianne and Nahm, Werner
- Subjects
Mathematical Physics - Abstract
We calculate the ground state current densities for 2+1 dimensional free fermion theories with local, translationally invariant boundary states. Deformations of the bulk wave functions close to the edge and boundary states both may cause edge current divergencies, which have to cancel in realistic systems. This yields restrictions on the parameters of quantum field theories which can arise as low energy limits of solid state systems. Some degree of Lorentz invariance for boosts parallel to the boundary can be recovered, when the cutoff is removed., Comment: New section on self-adjoint extensions. Comments on Lorentz invariance added
- Published
- 2008
41. Conformal Field Theory and Torsion Elements of the Bloch Group
- Author
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Nahm, Werner
- Subjects
High Energy Physics - Theory ,Mathematics - K-Theory and Homology ,Mathematics - Number Theory - Abstract
We argue that rational conformally invariant quantum field theories in two dimensions are closely related to torsion elements of the algebraic K-theory group K_3(C). If such a theory has an integrable matrix perturbation with purely elastic scattering matrix, then the partition function has a canonical sum representation. Its asymptotic behaviour is given in terms of the solution of an algebraic equation which can be read off from the scattering matrix. The solutions yield torsion elements of an extension of the Bloch group which seems to be equal to K_3(C). These algebraic equations are solved for integrable models given by arbitrary pairs of equations are solved for integrable models given by arbitrary pairs of A-type Cartan matrices. The paper should be readable by mathematicians., Comment: Contribution to Les Houches Lecture Notes, March 2003, 63 pages
- Published
- 2004
42. Mirror Symmetry on Kummer Type K3 Surfaces
- Author
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Nahm, Werner and Wendland, Katrin
- Subjects
High Energy Physics - Theory ,Mathematical Physics - Abstract
We investigate both geometric and conformal field theoretic aspects of mirror symmetry on N=(4,4) superconformal field theories with central charge c=6. Our approach enables us to determine the action of mirror symmetry on (non-stable) singular fibers in elliptic fibrations of Z_N orbifold limits of K3. The resulting map gives an automorphism of order 4,8, or 12, respectively, on the smooth universal cover of the moduli space. We explicitly derive the geometric counterparts of the twist fields in our orbifold conformal field theories. The classical McKay correspondence allows for a natural interpretation of our results., Comment: 27 pages, no figures; references added, typos and equation (28) corrected
- Published
- 2001
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43. Bi - Domain Intraoperative Registration of Vessels
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Naber Ady and Nahm Werner
- Subjects
intraoperative ,segmentation ,registration ,vessel ,icg ,Medicine - Abstract
The segmentation and registration of structures are gaining importance due to the increasing demand of automated image enhancement and understanding. Especially in medicine and life science, assistance systems could have a large impact on diagnosis, treatment and quality control. Dye driven procedures, such as fluorescence imaging with Indocyanine green (ICG), are nowadays indispensable because they enhance contrast, reveal structures and deliver the operator with important information. The contact free ICG angiography is providing the surgeon spatial and temporal information on blood flow within a vessel. The processing of those information is done manually or semi automated but is very helpful for the surgeon. Extending the degree of automatism, the amount of information processed and even augment or transfer it into another domain could deliver the operator useful support and improve surgical work flow. Using, analyzing and transferring those information from ICG-IR domain into the RGB domain is the focus of this project. We are introducing a vessel registration method in the RGB domain driven by the spatial fluorescence behavior of the vessel in the ICG-IR domain. The method includes Superpixel based segmentation of the vessel in the ICG-IR domain, the spatial gradient based transfer and registration in the RGB domain and the continuous segmentation of the vessel in a RGB video. This paper show a proof of concept of the method. The results show an successful inter domain information transfer and registration of the vessel. Further tracking of the vessel over all frames is possible. Nevertheless limitations are revealed and discussed.
- Published
- 2018
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- View/download PDF
44. Combination of Color and Focus Segmentation for Medical Images with Low Depth-of-Field
- Author
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Wirth Tamara, Naber Ady, and Nahm Werner
- Subjects
image segmentation ,regions of no interest ,low depth-of-field (dof) ,edge linking ,Medicine - Abstract
Image segmentation plays an increasingly important role in image processing. It allows for various applications including the analysis of an image for automatic image understanding and the integration of complementary data. During vascular surgeries, the blood flow in the vessels has to be checked constantly, which could be facilitated by a segmentation of the affected vessels. The segmentation of medical images is still done manually, which depends on the surgeon’s experience and is time-consuming. As a result, there is a growing need for automatic image segmentation methods. We propose an unsupervised method to detect the regions of no interest (RONI) in intraoperative images with low depth-of-field (DOF). The proposed method is divided into three steps. First, a color segmentation using a clustering algorithm is performed. In a second step, we assume that the regions of interest (ROI) are in focus whereas the RONI are unfocused. This allows us to segment the image using an edge-based focus measure. Finally, we combine the focused edges with the color RONI to determine the final segmentation result. When tested on different intraoperative images of aneurysm clipping surgeries, the algorithm is able to segment most of the RONI not belonging to the pulsating vessel of interest. Surgical instruments like the metallic clips can also be excluded. Although the image data for the validation of the proposed method is limited to one intraoperative video, a proof of concept is demonstrated.
- Published
- 2018
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45. MATLAB Simulation Environment for Estimating the Minimal Number and Positions of Cameras for 3D Surface Reconstruction in a Fully-Digital Surgical Microscope
- Author
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Wachter Andreas, Kost Jan, and Nahm Werner
- Subjects
surgical mircoscopy ,3d reconstruction ,camera array ,minimal number ,simulation ,matlab ,fully digital ,framework ,Medicine - Abstract
Contemporary surgical microscope systems have excellent optical properties but some desirable features remain unavailable. The number of co-observers is currently restricted, by spatial and optical limitations, to only two. Moreover, ergonomics poses are a problem: Current microscope systems impede free movement and sometimes demand that surgeons take uncomfortable postures over long periods of time. To rectify these issues, some companies developed surgical microscope systems based on a streaming approach. These systems remove some of the limitations. Multi-observer positions, for example, are not independent from each other, for example. In order to overcome the aforementioned limitations, we are currently developing an approach for the next generation of surgical microscope: Namely the fully digital surgical microscope, where the current observation system is replaced with a camera array, allowing real-time 3D reconstruction of surgical scenes and, consequently, the rendering of almost unlimited views for multiple observers. These digital microscopes could make the perspective through the microscope unnecessary allowing the surgeon to move freely and work in more comfortable postures. The requirements on the camera array in such a system have to be determined. For this purpose, we propose of estimation the minimal number of cameras and their positions needed for the 3D reconstruction of microsurgical scenes. The method of estimation is based on the requirements for the 3D reconstruction. Within the MATLAB simulation environment, we have developed a 3D model of a microsurgical scene, used for the determination of the number of required cameras. In a next step a small, compact and costefficient system with few opto-mechanical components could be manufactured.
- Published
- 2018
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- View/download PDF
46. The associative algebras of conformal field theory
- Author
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Brungs, David and Nahm, Werner
- Subjects
High Energy Physics - Theory - Abstract
Modulo the ideal generated by the derivative fields, the normal ordered product of holomorphic fields in two-dimensional conformal field theory yields a commutative and associative algebra. The zero mode algebra can be regarded as a deformation of the latter. Alternatively, it can be described as an associative quotient of the algebra given by a modified normal ordered product. We clarify the relation of these structures to Zhu's product and Zhu's algebra of the mathematical literature., Comment: LaTeX (BibTeX), 6 pages, no figures
- Published
- 1998
47. A cGAN-based network for depth estimation from bronchoscopic images.
- Author
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Guo, Lu and Nahm, Werner
- Abstract
Purpose: Depth estimation is the basis of 3D reconstruction of airway structure from 2D bronchoscopic scenes, which can be further used to develop a vision-based bronchoscopic navigation system. This work aims to improve the performance of depth estimation directly from bronchoscopic images by training a depth estimation network on both synthetic and real datasets. Methods: We propose a cGAN-based network Bronchoscopic-Depth-GAN (BronchoDep-GAN) to estimate depth from bronchoscopic images by translating bronchoscopic images into depth maps. The network is trained in a supervised way learning from synthetic textured bronchoscopic image-depth pairs and virtual bronchoscopic image-depth pairs, and simultaneously, also in an unsupervised way learning from unpaired real bronchoscopic images and depth maps to adapt the model to real bronchoscopic scenes. Results: Our method is tested on both synthetic data and real data. However, the tests on real data are only qualitative, as no ground truth is available. The results show that our network obtains better accuracy in all cases in estimating depth from bronchoscopic images compared to the well-known cGANs pix2pix. Conclusions: Including virtual and real bronchoscopic images in the training phase of the depth estimation networks can improve depth estimation's performance on both synthetic and real scenes. Further validation of this work is planned on 3D clinical phantoms. Based on the depth estimation results obtained in this work, the accuracy of locating bronchoscopes with corresponding pre-operative CTs will also be evaluated in comparison with the current clinical status. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
48. On the Seiberg-Witten Approach to electric-magnetic Duality
- Author
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Nahm, Werner
- Subjects
High Energy Physics - Theory - Abstract
Electric-magnetic duality allows to calculate the central charges of N=2 supersymmetric theories with massless hypermultiplets as derivatives of simple modular forms. The procedure reproduces the Seiberg-Witten results for N_f=0,2,3 in a uniform way, but indicates open problems for N_f=1., Comment: 4 pages, plain TeX
- Published
- 1996
49. Quasi-rational fusion products
- Author
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Nahm, Werner
- Subjects
High Energy Physics - Theory - Abstract
Fusion is defined for arbitrary lowest weight representations of $W$-algebras, without assuming rationality. Explicit algorithms are given. A category of quasirational representations is defined and shown to be stable under fusion. Conjecturally, it may coincide with the category of representations of finite quantum dimensions., Comment: 10 pages (plain TeX)
- Published
- 1994
- Full Text
- View/download PDF
50. One hundred years of the cosmological constant: from “superfluous stunt” to dark energy
- Author
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O’Raifeartaigh, Cormac, O’Keeffe, Michael, Nahm, Werner, and Mitton, Simon
- Published
- 2018
- Full Text
- View/download PDF
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