Uncertainty in Geometric Computations

Overview

Uncertainty in Geometric Computations contains the proceedings of a workshop that was held in Sheffield, United Kingdom, in which the management and assessment of uncertainty in geometric computations was considered. The theme that unites these four subject areas is the requirement to perform computations on real geometric data, which (i) may have errors, for example, the tolerance of a coordinate measuring machine that is used in reverse engineering, and/or (ii) is incomplete because of occlusion, which may ...

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Paperback (Softcover reprint of the original 1st ed. 2002)
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Overview

Uncertainty in Geometric Computations contains the proceedings of a workshop that was held in Sheffield, United Kingdom, in which the management and assessment of uncertainty in geometric computations was considered. The theme that unites these four subject areas is the requirement to perform computations on real geometric data, which (i) may have errors, for example, the tolerance of a coordinate measuring machine that is used in reverse engineering, and/or (ii) is incomplete because of occlusion, which may occur in computer vision, for example, a face recognition system. These characteristics of real geometric data impose tight constraints on the methods and algorithms that are used for their processing and interrogation, and this workshop provided a forum for their discussion.

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Table of Contents

Contributors and Participants. Preface. 1. Affine Intervals in a CSG Geometric Modeller; A. Bowyer, et al. 2. Fast and Reliable Plotting of Implicit Curves; K. Buehler. 3. Data Assimilation with Sequential Gaussian Processes; L. Csato, et al. 4. Conformal Geometry, Euclidean Space and Geometric Algebra; C. Doran, et al. 5. Towards the Robust Intersection of Implicit Quadrics; L. Dupont, et al. 6. Computational Geometry and Uncertainty; A.R. Forrest. 7. Geometric Uncertainty in Solid Modeling; P.J. Malraison, W.A. Denker. 8. Reliable Geometric Computations with Algebraic Primitives and Predicates; M. Foskey, et al. 9. Feature Localization Error in 3D Computer Vision; D.D. Morris, T. Kanade. 10. Bayesian Analysis of Computer Model Outputs; J. Oakley, A. O'Hagan. 11. b.; T. Poggio, et al. 12. Affine Arithmetic and Bernstein Hull Methods for Algebraic Curve Drawing; H. Shou, et al. 13. Local Polynomial Metrics for kappa Nearest Neighbor Classifiers; R.R. Snapp. 14. Visualisation of Incomplete Data Using Class Information Constraints; Y. Sun, et al. 15. Towards Videorealistic Synthetic Visual Speech; B. Theobald, et al. 16. Properties of the Companion Matrix Resultant for Bernstein Polynomials; J.R. Winkler. 17. Computation with a Number of Neurons; S. Wu, D. Chen. Index.

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