33 results on '"Gerda Kamberova"'
Search Results
2. Geometric Integrability and Consistency of 3D Point Clouds.
- Author
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George I. Kamberov and Gerda Kamberova
- Published
- 2007
- Full Text
- View/download PDF
3. 3D Geometry from Uncalibrated Images.
- Author
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George I. Kamberov, Gerda Kamberova, Ondrej Chum, Stepán Obdrzálek, Daniel Martinec, Jana Kostková, Tomás Pajdla, Jiri Matas, and Radim Sára
- Published
- 2006
- Full Text
- View/download PDF
4. 3D Shape from Unorganized 3D Point Clouds.
- Author
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George I. Kamberov, Gerda Kamberova, and Amit Jain
- Published
- 2005
- Full Text
- View/download PDF
5. Conformal Method for Quantitative Shape Extraction: Performance Evaluation.
- Author
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George I. Kamberov and Gerda Kamberova
- Published
- 2004
- Full Text
- View/download PDF
6. Topology and Geometry of Unorganized Point Clouds.
- Author
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George I. Kamberov and Gerda Kamberova
- Published
- 2004
- Full Text
- View/download PDF
7. Shape Invariants and Principal Directions from 3D Points and Normals.
- Author
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George I. Kamberov and Gerda Kamberova
- Published
- 2002
8. Recovering Surfaces from the Restoring Force.
- Author
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George I. Kamberov and Gerda Kamberova
- Published
- 2002
- Full Text
- View/download PDF
9. Ill-Posed Problems in Surface and Surface Shape Recovery.
- Author
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George I. Kamberov and Gerda Kamberova
- Published
- 2000
- Full Text
- View/download PDF
10. Stereo Depth Estimation: A Confidence Interval Approach.
- Author
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Robert Mandelbaum, Gerda Kamberova, and Max Mintz
- Published
- 1998
- Full Text
- View/download PDF
11. 3D reconstruction of environments for virtual collaboration.
- Author
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Ruzena Bajcsy, Reyes Enciso, Gerda Kamberova, Lucien Nocera, and Radim Sára
- Published
- 1998
- Full Text
- View/download PDF
12. Three-dimensional reconstruction from a set of video cameras of environments for virtual collaboration.
- Author
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Ruzena Bajcsy, Gerda Kamberova, Reyes Enciso, Lucien Nocera, Henry Fuchs, Greg Welch, and Radim Sára
- Published
- 1998
- Full Text
- View/download PDF
13. Developing the next generation of entrepreneurs.
- Author
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Edward H. Currie, Simona Doboli, and Gerda Kamberova
- Published
- 2011
- Full Text
- View/download PDF
14. Patents and intellectual property in entrepreneurship education in computing at Hofstra University.
- Author
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Gerda Kamberova, Andrea Pacelli, John Impagliazzo, Edward H. Currie, and Simona Doboli
- Published
- 2011
- Full Text
- View/download PDF
15. A genetic basis of variation in eccrine sweat gland and hair follicle density
- Author
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Clifford J. Tabin, Pardis C. Sabeti, Daniel E. Lieberman, Gerda Kamberova, Elinor K. Karlsson, Bruce A. Morgan, and Yana G. Kamberov
- Subjects
Male ,Multifactorial Inheritance ,medicine.medical_specialty ,Quantitative Trait Loci ,Human skin ,Eccrine Glands ,Biology ,Quantitative trait locus ,Quantitative Trait, Heritable ,stomatognathic system ,Species Specificity ,Internal medicine ,Ectoderm ,Genetic variation ,medicine ,Animals ,Allele ,Eccrine sweat gland ,Crosses, Genetic ,Regulation of gene expression ,Genome ,Multidisciplinary ,integumentary system ,Chromosome Mapping ,Genetic Variation ,Biological Sciences ,Hair follicle ,Chromosomes, Mammalian ,Body hair ,Mice, Inbred C57BL ,Endocrinology ,medicine.anatomical_structure ,Gene Expression Regulation ,Female ,sense organs ,Hair Follicle - Abstract
Among the unique features of humans, one of the most salient is the ability to effectively cool the body during extreme prolonged activity through the evapotranspiration of water on the skin's surface. The evolution of this novel physiological ability required a dramatic increase in the density and distribution of eccrine sweat glands relative to other mammals and a concomitant reduction of body hair cover. Elucidation of the genetic underpinnings for these adaptive changes is confounded by a lack of knowledge about how eccrine gland fate and density are specified during development. Moreover, although reciprocal changes in hair cover and eccrine gland density are required for efficient thermoregulation, it is unclear if these changes are linked by a common genetic regulation. To identify pathways controlling the relative patterning of eccrine glands and hair follicles, we exploited natural variation in the density of these organs between different strains of mice. Quantitative trait locus mapping identified a large region on mouse Chromosome 1 that controls both hair and eccrine gland densities. Differential and allelic expression analysis of the genes within this interval coupled with subsequent functional studies demonstrated that the level of En1 activity directs the relative numbers of eccrine glands and hair follicles. These findings implicate En1 as a newly identified and reciprocal determinant of hair follicle and eccrine gland density and identify a pathway that could have contributed to the evolution of the unique features of human skin.
- Published
- 2015
16. Minimax rules under zero–one loss for a restricted location parameter
- Author
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Gerda Kamberova and Max Mintz
- Subjects
Statistics and Probability ,Statistics::Theory ,Mathematical optimization ,Location parameter ,Applied Mathematics ,Function (mathematics) ,Decision rule ,Absolute continuity ,Minimax ,Monotone polygon ,Distribution (mathematics) ,Prior probability ,Applied mathematics ,Statistics, Probability and Uncertainty ,Mathematics - Abstract
In this paper, we obtain minimax and near-minimax nonrandomized decision rules under zero–one loss for a restricted location parameter of an absolutely continuous distribution. Two types of rules are addressed: monotone and nonmonotone. A complete-class theorem is proved for the monotone case. This theorem extends the previous work of Zeytinoglu and Mintz (1984) to the case of 2e-MLR sampling distributions. A class of continuous monotone nondecreasing rules is defined. This class contains the monotone minimax rules developed in this paper. It is shown that each rule in this class is Bayes with respect to nondenumerably many priors. A procedure for generating these priors is presented. Nonmonotone near-minimax almost-equalizer rules are derived for problems characterized by non-2e-MLR distributions. The derivation is based on the evaluation of a distribution-dependent function Qc. The methodological importance of this function is that it is used to unify the discrete- and continuous-parameter problems, and to obtain a lower bound on the minimax risk for the non-2e-MLR case.
- Published
- 1999
17. Decision-theoretic approach to robust fusion of location data
- Author
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Robert Mandelbaum, Max Mintz, Gerda Kamberova, and Ruzena Bajcsy
- Subjects
Location data ,Fusion ,Active perception ,Computer Networks and Communications ,Computer science ,business.industry ,Applied Mathematics ,Mobile robot ,Sensor fusion ,computer.software_genre ,Machine learning ,Variety (cybernetics) ,Consistency (database systems) ,Control and Systems Engineering ,Signal Processing ,Data mining ,Artificial intelligence ,Focus (optics) ,business ,computer - Abstract
The purpose of this paper is to introduce the reader to a novel approach to data fusion. We focus on the latest results which have immediate practical implications. Many tasks in active perception require the ability to combine information from a variety of sensors. Prior to combination, the data must be tested for consistency. Both of these tasks can be viewed as data fusion problems. We examine such problems for location data models. Our approach is based on statistical decision theory. We present the application of the theory to mobile robot localization.
- Published
- 1999
18. Developing the next generation of entrepreneurs
- Author
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Gerda Kamberova, Edward H. Currie, and Simona Doboli
- Subjects
Entrepreneurship ,Engineering ,business.industry ,Business data processing ,Subject (philosophy) ,medicine.disease ,Management ,Computer Science and Engineering ,ComputingMilieux_COMPUTERSANDEDUCATION ,medicine ,Profitability index ,Attrition ,Marketing ,business ,Curriculum - Abstract
It is clear that much of the world's technological innovation originates from the domain of the startup, an arena in which the United States has historically played a major role. However, while business and other schools have traditionally offered courses in entrepreneurship, only about one third of all new businesses ever reach profitability and less than half of all new startups survive more than five years. Much of the attrition of small businesses is a result of poor preparation of the founders and the failure of academia to treat entrepreneurship as something more than a purely academic subject. A new program at Hofstra University focuses on a fresh approach to preparing Computer Science and Engineering students in entrepreneurship by providing a curriculum specifically designed to meet the myriad challenges encountered by entrepreneurs in the “real” world.
- Published
- 2011
19. Collaborative Track Analysis, Data Cleansing, and Labeling
- Author
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Bart Luczynski, Lazaros Karydas, Matt Burlick, Gerda Kamberova, and George Kamberov
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Range (mathematics) ,Data cleansing ,Categorization ,Computer science ,Feature vector ,Context (language use) ,Noise (video) ,Data mining ,Tracking (particle physics) ,computer.software_genre ,computer ,Pipeline (software) - Abstract
Tracking output is a very attractive source of labeled data sets that, in turn, could be used to train other systems for tracking, detection, recognition and categorization. In this context, long tracking sequences are of particular importance because they provide richer information, multiple views, wider range of appearances. This paper addresses two obstacles to the use of tracking data for training: noise in the tracking data and the unreliability and slow pace of hand labeling. The paper introduces a criterion for detecting inconsistencies (noise) in large data collections and a method for selecting typical representatives of consistent collections. Those are used to build a pipeline which cleanses the tracking data and employs instantaneous (shotgun) labeling of vast numbers of images. The shotgun labeled data is shown to compare favorably with hand labeled data when used in classification tasks. The framework is collaborative - it involves a human-in-the loop but it is designed to minimize the burden on the human.
- Published
- 2011
20. A model of entrepreneurship education for computer science and computer engineering students
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Gerda Kamberova, Edward H. Currie, Xiang Fu, Simona Doboli, and John Impagliazzo
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Entrepreneurship ,Engineering ,ComputingMilieux_THECOMPUTINGPROFESSION ,Process (engineering) ,business.industry ,media_common.quotation_subject ,Innovation management ,Creativity ,Engineering management ,Entrepreneurship education ,Computer engineering ,SPARK (programming language) ,Entrepreneurial spirit ,business ,Curriculum ,computer ,media_common ,computer.programming_language - Abstract
Creativity and innovativeness are among the most essential attributes of engineering graduates and also of successful entrepreneurs. Entrepreneurship, or the process of starting a new venture, is one of the main roads to new technological innovations. This paper presents two novel models of entrepreneurship education integrated in computer science and computer engineering curricula and geared towards computing students with entrepreneurial intentions. To expose all computing students to entrepreneurial ideas and to spark their entrepreneurial spirit, we also developed several entrepreneurship add-on modules for existing CS and CE disciplines. All these programs have been developed and implemented at Hofstra University, with modules implemented also at Qatar University. Preliminary evaluation results are presented and discussed.
- Published
- 2010
21. Geometric Integrability and Consistency of 3D Point Clouds
- Author
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George Kamberov and Gerda Kamberova
- Subjects
business.industry ,Geometric topology ,Point cloud ,Curvature ,Computational geometry ,Constraint (information theory) ,Combinatorics ,Orientability ,Artificial intelligence ,business ,Algorithm ,Differential (mathematics) ,Topology (chemistry) ,Mathematics - Abstract
Numerous applications processing 3D point data will gain from the ability to estimate reliably normals and differential geometric properties. Normal estimates are notoriously noisy, the errors propagate and may lead to flawed, inaccurate, and inconsistent curvature estimates. Frankot-Chellappa introduced the use of integrability constraints in normal estimation. Their approach deals with graphs z = f(x,y)- We present a newly discovered general orientability constraint (GOC) for 3D point clouds sampled from general surfaces, not just graphs. It provides a tool to quantify the confidence in the estimation of normals, topology, and geometry from a point cloud. Furthermore, similarly to the Frankot-Chellappa constraint, the GOC can be used directly to extract the topology and the geometry of the manifolds underlying 3D point clouds. As an illustration we describe an automatic Cloud-to-Geometry pipeline which exploits the GOC.
- Published
- 2007
22. 3D Geometry from Uncalibrated Images
- Author
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Jiri Matas, Ondrej Chum, Gerda Kamberova, Daniel Martinec, Radim Sara, Tomas Pajdla, Š. Obdržálek, George Kamberov, and Jana Kostková
- Subjects
business.industry ,Computer science ,Pipeline (computing) ,ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION ,Point cloud ,Process (computing) ,Image processing ,Cloud computing ,Set (abstract data type) ,Signal-to-noise ratio ,Computer Science::Computer Vision and Pattern Recognition ,Tangent space ,Computer vision ,Artificial intelligence ,business ,ComputingMethodologies_COMPUTERGRAPHICS - Abstract
We present an automatic pipeline for recovering the geometry of a 3D scene from a set of unordered, uncalibrated images. The contributions in the paper are the presentation of the system as a whole, from images to geometry, the estimation of the local scale for various scene components in the orientation-topology module, the procedure for orienting the cloud components, and the method for dealing with points of contact. The methods are aimed to process complex scenes and non-uniformly sampled, noisy data sets.
- Published
- 2006
23. 3D Shape from Unorganized 3D Point Clouds
- Author
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George Kamberov, Amit K. Jain, and Gerda Kamberova
- Subjects
Computer science ,Orientation (computer vision) ,business.industry ,ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION ,Point cloud ,Cloud computing ,Measure (mathematics) ,Manifold ,Computer Science::Computer Vision and Pattern Recognition ,Computer vision ,Artificial intelligence ,business ,Image retrieval ,Topology (chemistry) ,ComputingMethodologies_COMPUTERGRAPHICS - Abstract
We present a framework to automatically infer topology and geometry from an unorganized 3D point cloud obtained from a 3D scene. If the cloud is not oriented, we use existing methods to orient it prior to recovering the topology. We develop a quality measure for scoring a chosen topology/orientation. The topology is used to segment the cloud into manifold components and later in the computation of shape descriptors.
- Published
- 2005
24. Statistical decision theory for mobile robotics: theory and application
- Author
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Gerda Kamberova, Max Mintz, and Robert Mandelbaum
- Subjects
Mathematical optimization ,Minimum mean square error ,business.industry ,Computer science ,Decision theory ,Mobile agent ,Robotics ,Mobile robot ,Artificial intelligence ,Kalman filter ,business ,Minimax ,Domain (software engineering) - Abstract
In this paper we pioneer a method which, given an input of mobile robot pose measurements by a sensor-based localization algorithm, produces a minimax risk fixed-size confidence set estimate for the pose of the agent. This work constitutes the first application to the mobile robotics domain of optimal fixed-size confidence-interval decision theory. The approach is evaluated in terms of theoretical capture probability and empirical capture frequency during actual experiments with the mobile agent. The method is compared to several other procedures including the Kalman filter (minimum mean squared error estimate) and the maximum likelihood estimator (MLE). The minimax approach is found to dominate all the other methods in performance. In particular, for the minimax approach, a very close agreement is achieved between theoretical capture probability and empirical capture frequency. This allows performance to be accurately predicted, greatly facilitating the design of mobile robotic systems, and delineating the tasks that may be performed with a given system.
- Published
- 2002
25. 3D reconstruction of environments for virtual collaboration
- Author
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Radim Sara, Reyes Enciso, Ruzena Bajcsy, Luciano Nocera, and Gerda Kamberova
- Subjects
Stereo cameras ,business.industry ,Computer science ,Testbed ,3D reconstruction ,3d model ,Iterative reconstruction ,Virtual reality ,Virtual collaboration ,Computer graphics (images) ,Computer vision ,Artificial intelligence ,Telecollaboration ,business - Abstract
In this paper we address an application of computer vision which can in the future change completely our way of communicating over the network. We present our version of a testbed for telecollaboration. It is based on a highly accurate and precise stereo algorithm. The results demonstrate the live (on-line) recovery of 3D models of a dynamically changing environment and the simultaneous display and manipulation of the models.
- Published
- 2002
26. 3-D data acquisition and interpretation for virtual reality and telepresence
- Author
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Ruzena Bajcsy, Raymond McKendall, Gerda Kamberova, and Radim Sara
- Subjects
Structure (mathematical logic) ,Correctness ,Computer science ,business.industry ,ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION ,Virtual reality ,Identification (information) ,High fidelity ,Data acquisition ,Computer graphics (images) ,Outlier ,Computer vision ,Artificial intelligence ,Geometric modeling ,business ,ComputingMethodologies_COMPUTERGRAPHICS - Abstract
We present our long-term effort focused on building a 3-D model acquisition system for teleimmersion applications. In our project we stress fast processing and high fidelity of the result: it is not just geometric accuracy of the recovered geometric model but also radiometric correctness of the recovered surface texture. We suggest that single-type geometric model is not sufficient for modeling large and complex scenes. In this paper, a hierarchy of representations suitable for 3-D structure models recoverable from visual data is presented and the related problems of data acquisition and fusion, outlier identification, and models reconstruction are discussed.
- Published
- 2002
27. Three-dimensional reconstruction from a set of video cameras of environments for virtual collaboration
- Author
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Reyes Enciso, Ruzena Bajcsy, Lucien Nocera, Henry Fuchs, Gregory F. Welch, Radim Sara, and Gerda Kamberova
- Subjects
3D interaction ,Collaborative software ,Multimedia ,Computer science ,business.industry ,Joins ,Virtual reality ,computer.software_genre ,Rendering (computer graphics) ,Computer graphics ,Virtual collaboration ,business ,Telecollaboration ,computer - Abstract
In the advent of the ubiquity of distributed computing with multimedia capabilities, it is very natural to contemplate collaborations that were not previously possible. In the past scientists, doctors, educators, engineers always had need to share, exchange, debate their work, designs, methodology, knowledge and experience. This was commonly done by attending meetings, publishing in common journals, sometimes books, and visiting each other's laboratories, research institutions, or attending lectures at universities. Recently, advances in computer vision, computer graphics and networking, make possible a new way of communication by immersing participants at remote sites into a common 3D virtual world. The 3D virtual world is high quality, realistic, dynamically updated representation which joins the models of the real worlds at each of the remote sites. This virtual world provides means for telecollaboration, it makes the real-time 3D interaction of people at remote locations possible. We describe the new "teleimmersion" technology. We concentrate on the current state of our research related to the problem of accurate, precise, real-time recovery of the individual remote 3D models, their merging into a common virtual world, and the real-time rendering of this world.
- Published
- 2002
28. Stereo depth estimation: a confidence interval approach
- Author
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R. Mandelbaum, Gerda Kamberova, and Max Mintz
- Subjects
Stereopsis ,Pixel ,Estimation theory ,business.industry ,Decision theory ,Pattern recognition ,Kalman filter ,Artificial intelligence ,Minimax ,business ,Confidence interval ,Stereo camera ,Mathematics - Abstract
We describe an estimation technique which, given a measurement of the depth of a target from a wide-field-of-view (WFOV) stereo camera pair, produces a minimax risk fixed-size confidence interval estimate for the target depth. This work constitutes the first application to the computer vision domain of optimal fixed-size confidence-interval decision theory. The approach is evaluated in terms of theoretical capture probability and empirical capture frequency during actual experiments with a target on an optical bench. The method is compared to several other procedures including the Kalman Filter. The minimax approach is found to dominate all the other methods in performance. In particular for the minimax approach, a very close agreement is achieved between theoretical capture probability and empirical capture frequency. This allows performance to be accurately predicted, greatly facilitating the system design, and delineating the tasks that may be performed with a given system.
- Published
- 2002
29. Ill-posed problems in surface and surface shape recovery
- Author
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Gerda Kamberova and George Kamberov
- Subjects
Surface (mathematics) ,Well-posed problem ,Gauss map ,Metric (mathematics) ,Tangent space ,Image registration ,Geometry ,State (functional analysis) ,Image restoration ,Mathematics - Abstract
We present new theoretical results which have implications in answering one of the fundamental questions in computer vision: recognition of surfaces and surface shapes. We state the conditions under which: (i) a surface can be recovered, uniquely, from the tangent plane map, in particular from the Gauss map; (ii) a surface shape can be recovered from the metric and the deforming forces. In case where such conditions are not satisfied we classify all exceptions, i.e. the surfaces and surface shapes for which the recovery and registration problems are ill-posed.
- Published
- 2002
30. Recovering Surfaces from the Restoring Force
- Author
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Gerda Kamberova and George Kamberov
- Subjects
Surface (mathematics) ,Gauss map ,Linear differential equation ,Noise (signal processing) ,Principal curvature ,Computation ,Mathematical analysis ,Restoring force ,Topology ,Smoothing ,Mathematics - Abstract
We present a new theoretical method and experimental results for direct recovery of the curvatures, the principal curvature directions, and the surface itself by exolicit integration of the Gauss map. The method does not rely on polygonal approximations, smoothing of the data, or model fitting. It is based on the observation that one can recover the surface restoring force from the Gauss map, and (i) applies to orientable surfaces of arbitrary topology (not necessarily closed); (ii) uses only first order linear differential equations; (iii) avoids the use of unstable computations; (iv) provides tools for filtering noise from the sampled data. The method can be used for stable extraction of surfaces and surface shape invariants, in particular, in applications requiring accurate quantitative measurements.
- Published
- 2002
31. 3-D Geometric Model Acquisition System for a Tele-Collaboration Testbed
- Author
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Reyes Enciso, Ruzena Bajcsy, Gerda Kamberova, Radim Sara, and Lucien Nocera
- Subjects
Computer science ,Virtual world ,Testbed ,Real-time computing ,Stereo pair ,Virtual space ,Virtual reality ,Geometric modeling - Abstract
In this paper we summarize the results we have obtained in building a testbed for tele-collaboration. It is based on a highly accurate and precise stereo algorithm. The results demonstrate the live (on-line) recovery of 3-D models of a dynamically changing environment and the simultaneous display and manipulation of the models. Virtual tele-collaboration may soon change completely our way of communicating over the network.
- Published
- 2000
32. Multivariate data fusion based on fixed-geometry confidence sets
- Author
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Gerda Kamberova, Max Mintz, and Raymond McKendall
- Subjects
Sampling distribution ,Univariate ,Nonparametric statistics ,Probability distribution ,Statistical model ,Geometry ,Data mining ,computer.software_genre ,Sensor fusion ,computer ,Confidence interval ,Mathematics ,Data modeling - Abstract
The successful design and operation of autonomous or partially autonomous vehicles which are capable of traversing uncertain terrains requires the application of multiple sensors for tasks such as: local navigation, terrain evaluation, and feature recognition. In applications which include a teleoperation mode, there remains a serious need for local data reduction and decision-making to avoid the costly or impractical transmission of vast quantities of sensory data to a remote operator. There are several reasons to include multi-sensor fusion in a system design: (i) it allows the designer to combine intrinsically dissimilar data from several sensors to infer some property or properties of the environment, which no single sensor could otherwise obtain; and (ii) it allows the system designer to build a robust system by using partially redundant sources of noisy or otherwise uncertain information. At present, the epistemology of multi-sensor fusion is incomplete. Basic research topics include the following taskrelated issues: (i) the value of a sensor suite; (ii) the layout, positioning, and control of sensors (as agents); (iii) the marginal value of sensor information; the value of sensing-time versus some measure of error reduction, e.g., statistical efficiency; (iv) the role of sensor models, as well as a priori models of the environment; and (v) the calculus or calculi by which consistent sensor data are determined and combined. In our research on multi-sensor fusion, we have focused our attention on several of these issues. Specifically, we have studied the theory and application of robust fixed-size confidence intervals as a methodology for robust multi-sensor fusion. This work has been delineated and summarized in Kamberova and Mintz (1990) and McKendall and Mintz (1990a, 1990b). As we noted, this previous research focused on confidence intervals as opposed to the more general paradigm of confidence sets. The basic distinction here is between fusing data characterized by an uncertain scalar parameter versus fusing data characterized by an uncertain vector parameter, of known dimension. While the confidence set paradigm is more widely applicable, we initially chose to address the confidence interval paradigm, since we were simultaneously interested in addressing the issues of: (i) robustness to nonparametric uncertainty in the sampling distribution; and (ii) decision procedures for small sample sizes. Recently, we have begun to investigate the multivariate (confidence set) paradigm. The delineation of optimal confidence sets with fixed geometry is a very challenging problem when: (i) the a priori knowledge of the uncertain parameter vector is not modeled by a Cartesian product of intervals (a hyper-rectangle); and/or (ii) the noise components in the multivariate observations are not statistically independent. Although it may be difficult to obtain optimal fixed-geometry confidence sets, we have obtained some very promising approximation techniques. These approximation techniques provide: (i) statistically efficient fixed-size hyper-rectangular confidence sets for decision models with hyper-ellipsoidal parameter sets; and (ii) tight upper and lower bounds to the optimal confidence coefficients in the presence of both Gaussian and non-Gaussian sampling distributions. In both the univariate and multivariate paradigms, it is assumed that the a priori uncertainty in the parameter value can be delineated by a fixed set in an n-dimensional Euclidean space. It is further assumed, that while the sampling distribution is uncertain, the uncertainty class description for this distribution can be delineated by a given class of neighborhoods in the space of all n-dimensional probability distributions. The following sections of this paper: (i) present a paradigm for multi-sensor fusion based on position data; (ii) introduce statistical and set-valued models for sensor errors and a priori environmental uncertainty; (iii) explain the role of confidence sets in statistical decision theory and sensor fusion; (iv) relate fixed-size confidence intervals to fixedgeometry confidence sets; and (v) examine the performance of fixed-size hyper-cubic confidence sets for decision models with spherical parameter sets in the presence of both Gaussian and non-Gaussian sampling distributions
- Published
- 1992
33. Robust Multi-Sensor Fusion: A Decision-Theoretic Approach
- Author
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Gerda Kamberova and Max Mintz
- Subjects
Sampling distribution ,Computer science ,Robustness (computer science) ,Probability distribution ,Decision rule ,Data mining ,Sensor fusion ,computer.software_genre ,computer ,Data modeling - Abstract
Many tasks in active perception require that we be able to combine different information from a variety of sensors which relate to one or more features of the environment. Prior to combining these data, we must test our observations for consistency. The purpose of this paper is to examine sensor fusion problems for linear location data models using statistical decision theory (SDT). The contribution of this paper is the application of SDT to obtain: (i) a robust test of the hypothesis that data from different sensors are consistent; and (ii) a robust procedure for combining the data which pass this preliminary consistency test. Here, robustness refers to the statistical effectiveness of the decision rules when the probability distributions of the observation noise and the a priori position information associated with the individual sensors are uncertain. The standard linear location data model refers to observations of the form: Z = θ + V, where V represents additive sensor noise and 0 denotes the "sensed" parameter of interest to the observer. While the theory addressed in this paper applies to many uncertainty classes, the primary focus of this paper is on asymmetric and/or multimodal model, which allow one to account for very general deviations from nominal sampling distributions. This paper extends earlier results in SDT and multi-sensor fusion obtained by Zeytinoglu and Mintz (1984, 1988), and McKendall and Mintz (1988).
- Published
- 1990
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