This book contains the proceedings of the workshop Uncertainty in Geomet ric Computations that was held in Sheffield, England, July 5-6, 2001. A total of 59 delegates from 5 countries in Europe, North America and Asia attended the workshop. The workshop provided a forum for the discussion of com putational methods for quantifying, representing and assessing the effects of uncertainty in geometric computations. It was organised around lectures by invited speakers, and presentations in poster form from participants. Computer simulations and modelling are used frequently in science and engi neering, in applications ranging from the understanding of natural and artificial phenomena, to the design, test and manufacturing stages of production. This widespread use necessarily implies that detailed knowledge of the limitations of computer simulations is required. In particular, the usefulness of a computer simulation is directly dependent on the user's knowledge of the uncertainty in the simulation. Although an understanding of the phenomena being modelled is an important requirement of a good computer simulation, the model will be plagued by deficiencies if the errors and uncertainties in it are not consid ered when the results are analysed. The applications of computer modelling are large and diverse, but the workshop focussed on the management of un certainty in three areas : Geometric modelling, computer vision, and computer graphics.
Erscheinungsdatum: 05.11.2012

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Joab Winkler; Mahesan Niranjan; SpringerLink (Online service)

edited by Joab Winkler, Mahesan Niranjan

Springer-Verlag

The Springer International Series in Engineering and Computer Science -- 704, International series in engineering and computer science -- 704., Boston, MA, Massachusetts, 2002

The Springer International Series in Engineering and Computer Science, 1st ed. 2002, New York, NY, 2002

The Kluwer International Series in Engineering and Computer Science, Boston, MA, 2002

Softcover reprint of the original 1st ed. 2002, 2012

United States, United States of America

Springer Nature, New York, NY, 2012

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lg945905

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Front Matter....Pages i-xviii
Affine Intervals in a CSG Geometric Modeller....Pages 1-14
Fast and Reliable Plotting of Implicit Curves....Pages 15-28
Data Assimilation with Sequential Gaussian Processes....Pages 29-39
Conformal Geometry, Euclidean Space and Geometric Algebra....Pages 41-58
Towards the Robust Intersection of Implicit Quadrics....Pages 59-68
Computational Geometry and Uncertainty....Pages 69-77
Geometric Uncertainty in Solid Modeling....Pages 79-89
Reliable Geometric Computations with Algebraic Primitives and Predicates....Pages 91-106
Feature Localization Error in 3D Computer Vision....Pages 107-117
Bayesian Analysis of Computer Model Outputs....Pages 119-130
B....Pages 131-141
Affine Arithmetic and Bernstein Hull Methods for Algebraic Curve Drawing....Pages 143-154
Local Polynomial Metrics for K Nearest Neighbor Classifiers....Pages 155-164
Visualisation of Incomplete Data Using Class Information Constraints....Pages 165-173
Towards Videorealistic Synthetic Visual Speech....Pages 175-184
Properties of the Companion Matrix Resultant for Bernstein Polynomials....Pages 185-198
Computation with a Number of Neurons....Pages 199-207
Back Matter....Pages 209-210

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.

2013-08-01