On optimal tolerancing in computer-aided design

Helmut Pottmann, B. Odehnal, M. Peternell, J. Wallner, R. A. Haddou

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

10 Scopus citations

Abstract

A geometric approach to the computation of precise or well approximated tolerance zones for CAD constructions is given. We continue a previous study of linear constructions and freeform curve and surface schemes under the assumption of convex tolerance regions for points. The computation of the boundaries of the tolerance zones for curves/surfaces is discussed. We also study congruence transformations in the presence of errors and families of circles arising in metric constructions under the assumption of tolerances in the input. The classical cyclographic mapping as well as ideas from convexity and classical differential geometry appear as central geometric tools.

Original languageEnglish (US)
Title of host publicationProceedings - Geometric Modeling and Processing 2000
Subtitle of host publicationTheory and Applications
EditorsRalph Martin
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages347-363
Number of pages17
ISBN (Electronic)0769505627, 9780769505626
DOIs
StatePublished - Jan 1 2000
EventGeometric Modeling and Processing 2000, GMP 2000 - Hong Kong, China
Duration: Apr 11 2000Apr 12 2000

Publication series

NameProceedings - Geometric Modeling and Processing 2000: Theory and Applications

Other

OtherGeometric Modeling and Processing 2000, GMP 2000
CountryChina
CityHong Kong
Period04/11/0004/12/00

ASJC Scopus subject areas

  • Computational Mathematics
  • Geometry and Topology
  • Modeling and Simulation

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