Polyhedral perturbations that preserve topological form

DOI10.1016/0167-8396(94)00039-7zbMath0873.57018OpenAlexW2112144158MaRDI QIDQ672157

N. F. Stewart, S. M. Dorney, Thomas J. Peters, Lars-Erik Andersson

Publication date: 27 February 1997

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-8396(94)00039-7

zbMATH Keywords

simplicial complexescomputer graphicssolid modelingtopological equivalencetolerancing and metrologytopological form

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) General topology of complexes (57Q05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (13)

Computational topology: isotopic convergence to a stick knot ⋮ Isotopic equivalence by Bézier curve subdivision for application to high performance computing ⋮ Topological Integrity for Dynamic Spline Models During Visualization of Big Data ⋮ Computational topology for approximations of knots ⋮ Subdivision of Bézier curves for ambient isotopy in molecular modeling ⋮ EQUIVALENCE OF TOPOLOGICAL FORM FOR CURVILINEAR GEOMETRIC OBJECTS ⋮ Computational topology: Ambient isotopic approximation of 2-manifolds. ⋮ Modeling time and topology for animation and visualization with examples on parametric geometry ⋮ ISOTOPIC CONVERGENCE THEOREM ⋮ Controlled perturbation of sets of line segments in \(\mathbb R^2\) with smart processing order ⋮ Exact Computation for Existence of a Knot Counterexample ⋮ Topological subtleties for molecular movies ⋮ Selfintersection of composite curves and surfaces

Cites Work

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• Geometric tolerancing: I. Virtual boundary requirements
• Geometric tolerancing: II. Conditional tolerances

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