Aspects of modelling in computer aided geometric design

  • Authors:
  • Richard F. Riesenfeld

  • Affiliations:
  • University of Utah, Salt Lake City, Utah

  • Venue:
  • AFIPS '75 Proceedings of the May 19-22, 1975, national computer conference and exposition
  • Year:
  • 1975

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Abstract

This paper identifies some problems of modelling free-form geometry in a computer, and discusses attributes of a good model and good parameters for a model. In particular, we are interested in representing arbitrary shape information, shapes that may not have special names and may not be well defined except at particular points (or curves) of interest occasionally referred to as "hard points" or "hard constraints." There may remain considerable freedom in modelling the "soft points" or "soft constraints." Paradigms of this problem include modelling an automobile fender, a shoe last, or a boat hull. This is an aspect of an area that Forrest calls computational geometry.