Derivation of a standard set of geometric constraints for parametric modeling and data exchange

B. Bettig, J. Shah

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

This paper describes the derivation of a consistent and comprehensive set of geometrical constraints for shape definition in CAD. Such a set is needed to enable compatibility in parametric data exchange and to promote both standard capabilities and predictable solutions from constraint solving software kernels. The paper looks at the mathematical basis for constraints present in the literature and elaborates about all types of constraints that can be described by the same mathematical basis. Exhaustive combinations of distance and angle constraints, on one point or all points of curves and surfaces, as well as transformations and mappings that are required in mechanical design are included in the proposed taxonomy and representation. Consistency is promoted by distinguishing necessary constraint types from redundant constraint types. Comprehensiveness is promoted by including all constraint types from the literature that are within the scope and considering combinatorial variations of them.

Original languageEnglish (US)
Pages (from-to)17-33
Number of pages17
JournalCAD Computer Aided Design
Volume33
Issue number1
DOIs
StatePublished - Jan 2001

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Parametric Modeling
Geometric Constraints
Data Exchange
Electronic data interchange
Taxonomies
Computer aided design
Constraint Solving
Mechanical Design
Curves and Surfaces
Taxonomy
Standards
Compatibility
kernel
Angle
Software
Necessary

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Industrial and Manufacturing Engineering
  • Geometry and Topology

Cite this

Derivation of a standard set of geometric constraints for parametric modeling and data exchange. / Bettig, B.; Shah, J.

In: CAD Computer Aided Design, Vol. 33, No. 1, 01.2001, p. 17-33.

Research output: Contribution to journalArticle

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