The algebraic eigenvalue problem
The algebraic eigenvalue problem
Towards implementing robust geometric computations
SCG '88 Proceedings of the fourth annual symposium on Computational geometry
Modeling spaces for toleranced objects
International Journal of Robotics Research
Imperfect form tolerancing on manifold objects: a metric approach
International Journal of Robotics Research
The NURBS book
Filling gaps in the boundary of a polyhedron
Computer Aided Geometric Design
Design compilation of feature-based and constraint-based CAD
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Polyhedral modelling with exact arithmetic
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Topological and geometric properties of interval solid models
Graphical Models
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
Numerical Analysis in Modern Scientific Computing: An Introduction
Numerical Analysis in Modern Scientific Computing: An Introduction
A Paradigm for Robust Geometric Algorithms
A Paradigm for Robust Geometric Algorithms
Computer Aided Geometric Design
Topologically consistent trimmed surface approximations based on triangular patches
Computer Aided Geometric Design
Residual iteration and accurate polynomial evaluation for shape-interrogation applications
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Integrated feature-based and geometric CAD data exchange
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Homotopy Conditions for Tolerant Geometric Queries
Reliable Implementation of Real Number Algorithms: Theory and Practice
Transfinite Interpolation for Well-Definition in Error Analysis in Solid Modelling
Reliable Implementation of Real Number Algorithms: Theory and Practice
Single-set and class-of-sets semantics for geometric models
Computer-Aided Design
Backward error analysis in computational geometry
ICCSA'06 Proceedings of the 6th international conference on Computational Science and Its Applications - Volume Part I
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This paper describes two important questions of semantics, in the context of accuracy in shape interrogation. The first of these questions is how to give meaning to an internally inconsistent solid description based on the widely used trimmed-surface boundary representation. The second question is the meaning of a request, made to a numerical method, to find a solution to a problem whose parameter values are uncertain. Answers to these questions are given, inspired in the case of the second question by a now-standard approach in numerical analysis.