Representation and interpretation of geometric tolerances for polyhedral objects-I. Form tolerances

Utpal Roy, Bing Li

Research output: Contribution to journalArticlepeer-review

80 Scopus citations


This paper presents a scheme for representing form tolerances for polyhedral objects in solid modelers. This includes the development of a complete form tolerance zone definition based on a rigorous mathematical formulation in which derived algebraic constraints define the model variations. The paper also presents a procedure for the representation of the variant boundary surfaces that approximate the real world form variations and simulate the variations by planar surfaces (for tolerance analysis). The proposed scheme has been implemented in an object-oriented programming environment.

Original languageEnglish (US)
Pages (from-to)151-161
Number of pages11
JournalCAD Computer Aided Design
Issue number2
StatePublished - 1998


  • Form tolerance
  • Tolerance zone
  • Variational model

ASJC Scopus subject areas

  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Industrial and Manufacturing Engineering

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