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2. Orientation selectivity properties for the affine Gaussian derivative and the affine Gabor models for visual receptive fields.

Author

Lindeberg, Tony

Abstract

This paper presents an in-depth theoretical analysis of the orientation selectivity properties of simple cells and complex cells, that can be well modelled by the generalized Gaussian derivative model for visual receptive fields, with the purely spatial component of the receptive fields determined by oriented affine Gaussian derivatives for different orders of spatial differentiation. A detailed mathematical analysis is presented for the three different cases of either: (i) purely spatial receptive fields, (ii) space-time separable spatio-temporal receptive fields and (iii) velocity-adapted spatio-temporal receptive fields. Closed-form theoretical expressions for the orientation selectivity curves for idealized models of simple and complex cells are derived for all these main cases, and it is shown that the orientation selectivity of the receptive fields becomes more narrow, as a scale parameter ratio κ , defined as the ratio between the scale parameters in the directions perpendicular to vs. parallel with the preferred orientation of the receptive field, increases. It is also shown that the orientation selectivity becomes more narrow with increasing order of spatial differentiation in the underlying affine Gaussian derivative operators over the spatial domain. A corresponding theoretical orientation selectivity analysis is also presented for purely spatial receptive fields according to an affine Gabor model, showing that: (i) the orientation selectivity becomes more narrow when making the receptive fields wider in the direction perpendicular to the preferred orientation of the receptive field; while (ii) an additional degree of freedom in the affine Gabor model does, however, also strongly affect the orientation selectivity properties. [ABSTRACT FROM AUTHOR]

Published
2025
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3. Relationships between the degrees of freedom in the affine Gaussian derivative model for visual receptive fields and 2-D affine image transformations, with application to covariance properties of simple cells in the primary visual cortex

Author

Lindeberg, Tony and Lindeberg, Tony

Abstract

When observing the surface patterns of objects delimited by smooth surfaces, the projections of the surface patterns to the image domain will be subject to substantial variabilities, as induced by variabilities in the geometric viewing conditions, and as generated by either monocular or binocular imaging conditions, or by relative motions between the object and the observer over time. To first order of approximation, the image deformations of such projected surface patterns can be modelled as local linearizations in terms of local 2-D spatial affine transformations. This paper presents a theoretical analysis of relationships between the degrees of freedom in 2-D spatial affine image transformations and the degrees of freedom in the affine Gaussian derivative model for visual receptive fields. For this purpose, we first describe a canonical decomposition of 2-D affine transformations on a product form, closely related to a singular value decomposition, while in closed form, and which reveals the degrees of freedom in terms of (i)~uniform scaling transformations, (ii)~an overall amount of global rotation, (iii)~a complementary non-uniform scaling transformation and (iv)~a relative normalization to a preferred symmetry orientation in the image domain.Then, we show how these degrees of freedom relate to the degrees of freedom in the affine Gaussian derivative model. Finally, we use these theoretical results to consider whether we could regard the biological receptive fields in the primary visual cortex of higher mammals as being able to span the degrees of freedom of 2-D spatial affine transformations, based on interpretations of existing neurophysiological experimental results., QC 20241111, Covariant and invariant deep networks

Published
2024
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4. Orientation selectivity properties for the affine Gaussian derivative and the affine Gabor models for visual receptive fields

Author

Lindeberg, Tony and Lindeberg, Tony

Abstract

This paper presents an in-depth theoretical analysis of the orientation selectivity properties of simple cells and complex cells, that can be well modelled by the generalized Gaussian derivative model for visual receptive fields, with the purely spatial component of the receptive fields determined by oriented affine Gaussian derivatives for different orders of spatial differentiation. A detailed mathematical analysis is presented for the three different cases of either: (i) purely spatial receptive fields, (ii) space-time separable spatio-temporal receptive fields and (iii) velocity-adapted spatio-temporal receptive fields. Closed-form theoretical expressions for the orientation selectivity curves for idealized models of simple and complex cells are derived for all these main cases, and it is shown that the orientation selectivity of the receptive fields becomes more narrow, as a scale parameter ratio $\kappa$, defined as the ratio between the scale parameters in the directions perpendicular to vs. parallel with the preferred orientation of the receptive field, increases. It is also shown that the orientation selectivity becomes more narrow with increasing order of spatial differentiation in the underlying affine Gaussian derivative operators over the spatial domain. Additionally, we also derive closed-form expressions for the resultant and the bandwidth descriptors of the orientation selectivity curves, which have previously been used as compact descriptors of the orientation selectivity properties for biological neurons. These results together show that the properties of the affine Gaussian derivative model for visual receptive fields can be analyzed in closed form, which can be highly useful when to relate the results from biological experiments to computational models of the functional properties of simple cells and complex cells in the primary visual cortex. For comparison, we also present a corresponding theoretical orientation selectivity analysis for purely, QC 20240410

Published
2024

5. Do the receptive fields in the primary visual cortex span a variability over the degree of elongation of the receptive fields?

Author

Lindeberg, Tony and Lindeberg, Tony

Abstract

This paper presents the results of combining (i) theoretical analysis regarding connections between the orientation selectivity and the elongation of receptive fields for the affine Gaussian derivative model with (ii) biological measurements of orientation selectivity in the primary visual cortex to investigate if (iii) the receptive fields can be regarded as spanning a variability in the degree of elongation. From an in-depth theoretical analysis of idealized models for the receptive fields of simple and complex cells in the primary visual cortex, we established that the orientation selectivity becomes more narrow with increasing elongation of the receptivefields. Combined with previously established biological results, concerning broad vs. sharp orientation tuning of visual neurons in the primary visual cortex, as well as previous experimental results concerning distributions of the resultant of the orientation selectivity curves for simple and complex cells, we show that these results are consistent with the receptive fields spanning a variability over the degree of elongation of the receptive fields. We also show that our principled theoretical model for visual receptive fields leads to qualitatively similar types of deviations from a uniform histogram of the resultant descriptor of the orientation selectivity curves for simple cells, as can be observed in the results from biological experiments. To firmly determine if the underlying working hypothesis, regarding the receptive fields spanning a variability in the degree of elongation, would truly hold for the receptive fields in the primary visual cortex of higher mammals, we formulate a set of testable predictions, that can be used for investigate this property experimentally, and, if applicable, then also characterize if such a variability would, in a structured way, be related to the pinwheel structure in the visual cortex., QC 20240410

Published
2024

6. Coding of chromatic spatial contrast by macaque V1 neurons

Author

Abhishek De and Gregory D Horwitz

Subjects
color, double-opponent, simple cell, V1, macaque, linearity, Medicine, Science, Biology (General), QH301-705.5
Abstract

Color perception relies on comparisons between adjacent lights, but how the brain performs these comparisons is poorly understood. To elucidate the underlying mechanisms, we recorded spiking responses of individual V1 neurons in macaque monkeys to pairs of stimuli within the classical receptive field (RF). We estimated the spatial-chromatic RF of each neuron and then presented customized colored edges using a closed-loop technique. We found that many double-opponent (DO) cells, which have spatially and chromatically opponent RFs, responded to chromatic contrast as a weighted sum, akin to how other V1 neurons responded to luminance contrast. Yet other neurons integrated chromatic signals nonlinearly, confirming that linear signal integration is not an obligate property of V1 neurons. The functional similarity of cone-opponent DO cells and cone non-opponent simple cells suggests that these two groups may share a common underlying circuitry, promotes the construction of image-computable models for full-color image representation, and sheds new light on V1 complex cells.

Published
2022
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7. Periodic clustering of simple and complex cells in visual cortex.

Author

Kim, Gwangsu, Jang, Jaeson, and Paik, Se-Bum

Subjects
*AFFERENT pathways, *NEURONS, *PREDICTION models, *RETINA, *VISUAL cortex
Abstract

Neurons in the primary visual cortex (V1) are often classified as simple or complex cells, but it is debated whether they are discrete hierarchical classes of neurons or if they represent a continuum of variation within a single class of cells. Herein, we show that simple and complex cells may arise commonly from the feedforward projections from the retina. From analysis of the cortical receptive fields in cats, we show evidence that simple and complex cells originate from the periodic variation of ON–OFF segregation in the feedforward projection of retinal mosaics, by which they organize into periodic clusters in V1. From data in cats, we observed that clusters of simple and complex receptive fields correlate topographically with orientation maps, which supports our model prediction. Our results suggest that simple and complex cells are not two distinct neural populations but arise from common retinal afferents, simultaneous with orientation tuning. • Simple and complex cells in V1 can arise simultaneously from retinal afferents. • Simple/complex cells are organized into periodic clusters across visual cortex. • Simple/complex clusters are topographically correlated with orientation maps. • Development of clustered cells in V1 is explained by the Paik–Ringach model. [ABSTRACT FROM AUTHOR]

Published
2021
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10. Edge Detection Based on Primary Visual Pathway

Author

Lv, Chao, Xu, Yuelei, Zhang, Xulei, Ma, Shiping, Li, Shuai, Xin, Peng, Zhu, Mingning, Ma, Hongqiang, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Zhao, Yao, editor, Kong, Xiangwei, editor, and Taubman, David, editor

Published
2017
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11. Boundaries in Visual Perception and the Arts

Author

Ludu, Andrei, Abarbanel, Henry, Series editor, Braha, Dan, Series editor, Èrdi, Péter, Series editor, Friston, Karl, Series editor, Haken, Hermann, Series editor, Jirsa, Viktor, Series editor, Kacprzyk, Janusz, Series editor, Kaneko, Kunihiko, Series editor, Kelso, Scott, Series editor, Kirkilionis, Markus, Series editor, Kurths, Jürgen, Series editor, Nowak, Andrzej, Series editor, Qudrat-Ullah, Hassan, Series editor, Reichl, Linda, Series editor, Schuster, Peter, Series editor, Schweitzer, Frank, Series editor, Sornette, Didier, Series editor, Thurner, Stefan, Series editor, and Ludu, Andrei

Published
2016
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12. Orientation selectivity of affine Gaussian derivative based receptive fields

Author

Lindeberg, Tony and Lindeberg, Tony

Abstract

This paper presents a theoretical analysis of the orientation selectivity of simple and complex cells that can be well modelled by the generalized Gaussian derivative model for visual receptive fields, with the purely spatial component of the receptive fields determined by oriented affine Gaussian derivatives for different orders of spatial differentiation. A detailed mathematical analysis is presented for the three different cases of either: (i) purely spatial receptive fields, (ii) space-time separable spatio-temporal receptive fields and (iii)~velocity-adapted spatio-temporal receptive fields. Closed-form theoretical expressions for the orientation selectivity curves for idealized models of simple and complex cells are derived for all these main cases, and it is shown that the degree of orientation selectivity of the receptive fields increases with a scale parameter ratio $\kappa$, defined as the ratio between the scale parameters in the directions perpendicular to vs. parallel with the preferred orientation of the receptive field. It is also shown that the degree of orientation selectivity increases with the order of spatial differentiation in the underlying affine Gaussian derivative operators over the spatial domain. We describe biological implications of the derived theoretical results, demonstrating that the predictions from the presented theory are consistent with previously established biological results concerning broad vs. sharp orientation tuning of visual neurons in the primary visual cortex. We also demonstrate that the above theoretical predictions, in combination with these biological results, are consistent with a previously formulated biological hypothesis, stating that the biological receptive field shapes should span the degrees of freedom in affine image transformations, to support affine covariance over the population of receptive fields in the primary visual cortex. Based on the results from the theoretical analysis in the paper, combined wit, QC 20230425, Covariant and invariant deep networks

Published
2023

14. A robust contour detection operator with combined push-pull inhibition and surround suppression.

Author

Melotti, Damiano, Heimbach, Kevin, Rodríguez-Sánchez, Antonio, Strisciuglio, Nicola, and Azzopardi, George

Subjects
*VISUAL cortex, *RESPONSE inhibition, *COMPUTER vision, *EYE, *APPLICATION software, *GROUP decision making
Abstract

• We propose a new contour detection operator that is highly robust to texture. • It is based on a CORF model with push-pull inhibition and surround suppression. • These two inhibition components are inspired from the visual system of the brain. • Experiments are performed on two benchmark data sets; RuG and Berkeley. Contour detection is a salient operation in many computer vision applications as it extracts features that are important for distinguishing objects in scenes. It is believed to be a primary role of simple cells in visual cortex of the mammalian brain. Many of such cells receive push-pull inhibition or surround suppression. We propose a computational model that exhibits a combination of these two phenomena. It is based on two existing models, which have been proven to be very effective for contour detection. In particular, we introduce a brain-inspired contour operator that combines push-pull and surround inhibition. It turns out that this combination results in a more effective contour detector, which suppresses texture while keeping the strongest responses to lines and edges, when compared to existing models. The proposed model consists of a Combination of Receptive Field (or CORF) model with push-pull inhibition, extended with surround suppression. We demonstrate the effectiveness of the proposed approach on the RuG and Berkeley benchmark data sets of 40 and 500 images, respectively. The proposed push-pull CORF operator with surround suppression outperforms the one without suppression with high statistical significance. [ABSTRACT FROM AUTHOR]

Published
2020
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18. Nonnegative Source Separation with Expansive Nonlinearity: Comparison with the Primary Visual Cortex

Author

Yokoyama, Hiroki, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Lee, Minho, editor, Hirose, Akira, editor, Hou, Zeng-Guang, editor, and Kil, Rhee Man, editor

Published
2013
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20. Bio-inspired Visual Information Processing – The Neuromorphic Approach

Author

Han, Woo Joon, Han, Il Song, Akan, Ozgur, Series editor, Bellavista, Paolo, Series editor, Cao, Jiannong, Series editor, Dressler, Falko, Series editor, Ferrari, Domenico, Series editor, Gerla, Mario, Series editor, Kobayashi, Hisashi, Series editor, Palazzo, Sergio, Series editor, Sahni, Sartaj, Series editor, Shen, Xuemin (Sherman), Series editor, Stan, Mircea, Series editor, Xiaohua, Jia, Series editor, Zomaya, Albert, Series editor, Coulson, Geoffrey, Series editor, Suzuki, Junichi, editor, and Nakano, Tadashi, editor

Published
2012
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21. An Orientation Detection Model Based on Fitting from Multiple Local Hypotheses

Author

Wei, Hui, Ren, Yuan, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Huang, Tingwen, editor, Zeng, Zhigang, editor, Li, Chuandong, editor, and Leung, Chi Sing, editor

Published
2012
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22. Contour Detection by CORF Operator

Author

Azzopardi, George, Petkov, Nicolai, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Villa, Alessandro E. P., editor, Duch, Włodzisław, editor, Érdi, Péter, editor, Masulli, Francesco, editor, and Palm, Günther, editor

Published
2012
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23. A CSP-Based Orientation Detection Model

Author

Wei, Hui, Dong, Zheng, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Goebel, Randy, editor, Siekmann, Jörg, editor, Wahlster, Wolfgang, editor, Zhang, Huaguang, editor, Hussain, Amir, editor, Liu, Derong, editor, and Wang, Zhanshan, editor

Published
2012
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24. Bio-inspired Architecture for Human Detection

Author

González bandala, Daniel Alejandro, Sánchez Orellana, Pedro Luis, Castellanos Sánchez, Claudio, Hutchison, David, Kanade, Takeo, Kittler, Josef, Kleinberg, Jon M., Mattern, Friedemann, Mitchell, John C., Naor, Moni, Nierstrasz, Oscar, Pandu Rangan, C., Steffen, Bernhard, Sudan, Madhu, Terzopoulos, Demetri, Tygar, Doug, Vardi, Moshe Y., Weikum, Gerhard, Diamantaras, Konstantinos, editor, Duch, Wlodek, editor, and Iliadis, Lazaros S., editor

Published
2010
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31. Recent Studies Around the Neocognitron

Author

Shouno, Hayaru, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Ishikawa, Masumi, editor, Doya, Kenji, editor, Miyamoto, Hiroyuki, editor, and Yamakawa, Takeshi, editor

Published
2008
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32. A Ring Model for the Development of Simple Cells in the Visual Cortex

Author

Hamada, Takashi, Okada, Kazuhiro, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Ishikawa, Masumi, editor, Doya, Kenji, editor, Miyamoto, Hiroyuki, editor, and Yamakawa, Takeshi, editor

Published
2008
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33. Thinning on Quadratic, Triangular, and Hexagonal Cell Complexes

Author

Wiederhold, Petra, Morales, Sandino, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Brimkov, Valentin E., editor, Barneva, Reneta P., editor, and Hauptman, Herbert A., editor

Published
2008
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34. An Analytical Model of Divisive Normalization in Disparity-Tuned Complex Cells

Author

Stürzl, Wolfgang, Mallot, Hanspeter A., Knoll, A., Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, de Sá, Joaquim Marques, editor, Alexandre, Luís A., editor, Duch, Włodzisław, editor, and Mandic, Danilo, editor

Published
2007
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37. Face Recognition by Cortical Multi-scale Line and Edge Representations

Author

Rodrigues, João, du Buf, J. M. Hans, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Campilho, Aurélio, editor, and Kamel, Mohamed, editor

Published
2006
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38. Neural Network Architecture for Modeling the Joint Visual Perception of Orientation, Motion, and Depth

Author

Oberhoff, Daniel, Stynen, Andy, Kolesnik, Marina, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Carbonell, Jaime G., editor, Siekmann, Jörg, editor, André, Elisabeth, editor, Dybkjær, Laila, editor, Minker, Wolfgang, editor, Neumann, Heiko, editor, and Weber, Michael, editor

Published
2006
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40. A Neural Model for Extracting Occluding Subjective Surfaces

Author

Hong, Keongho, Jeong, Eunhwa, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Wang, Jun, editor, Liao, Xiao-Feng, editor, and Yi, Zhang, editor

Published
2005
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41. Multielectrode Analysis of Information Flow Through Cat Primary Visual Cortex

Author

Martinez, Luis M., Alonso, Jose-Manuel, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Mira, José, editor, and Álvarez, José R., editor

Published
2005
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42. Functional Architecture of the Visual Cortex and Variational Models for Kanizsa’s Modal Subjective Contours

Author

Petitot, Jean, Leinfellner, W., editor, Eberlein, G., editor, Boudon, R., editor, Bunge, M., editor, Coleman, J. S., editor, Götschl, J., editor, Kern, L., editor, Levi, I., editor, Mattessich, R., editor, Munier, B., editor, Nida-Rümelin, J., editor, Rapoport, A., editor, Sen, A., editor, Tuomela, R., editor, Tversky, A., editor, and Carsetti, Arturo, editor

Published
2004
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43. The Balance Between Excitation and Inhibition Not Only Leads to Variable Discharge of Cortical Neurons but Also to Contrast Invariant Orientation Tuning

Author

Garg, Akhil R., Bhaumik, Basabi, Obermayer, Klaus, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Pal, Nikhil Ranjan, editor, Kasabov, Nik, editor, Mudi, Rajani K., editor, Pal, Srimanta, editor, and Parui, Swapan Kumar, editor

Published
2004
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44. Orientation Map Emerges in Parallel with the Formation of Receptive Fields in a Feedforward Neurotrophic Model

Author

Mathur, Mona, Bhaumik, Basabi, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Pal, Nikhil Ranjan, editor, Kasabov, Nik, editor, Mudi, Rajani K., editor, Pal, Srimanta, editor, and Parui, Swapan Kumar, editor

Published
2004
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45. Visual Cortex Frontend: Integrating Lines, Edges, Keypoints, and Disparity

Author

Rodrigues, João, du Buf, J. M. Hans, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Campilho, Aurélio, editor, and Kamel, Mohamed, editor

Published
2004
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46. A Biologically Motivated and Computationally Tractable Model of Low and Mid-Level Vision Tasks

Author

Kokkinos, Iasonas, Deriche, Rachid, Maragos, Petros, Faugeras, Olivier, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Dough, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Pajdla, Tomás, editor, and Matas, Jiří, editor

Published
2004
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48. Neuronal Cooperativity

Author

Haken, Hermann, editor, Andersson, Åke, editor, Ertl, Gerhard, editor, Fiedler, Bernold, editor, Kuramoto, Yoshiki, editor, Kurths, Jürgen, editor, Lugiato, Luigi, editor, Parisi, Jürgen, editor, Schuster, Peter, editor, Schweitzer, Frank, editor, Sornette, Didier, editor, and Velarde, Manuel G., editor

Published
2002
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