Energy constraints on parameterized models

  • Authors:
  • Andrew Witkin;Kurt Fleischer;Alan Barr

  • Affiliations:
  • Schlumberger Palo Alto Research, Palo Alto, CA;Schlumberger Palo Alto Research, Palo Alto, CA;California Institute of Technology, Pasadena

  • Venue:
  • SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
  • Year:
  • 1987

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Abstract

A simple but general approach to imposing and solving geometric constraints on parameterized models is introduced, applicable to animation as well as model construction. Constraints are expressed as energy functions, and the energy gradient followed through the model's parameter space. Intuitively, energy constraints behave like forces that pull and parametrically deform the parts of the model into place. A wide variety of geometric constraints are amenable to this formulation, and may be used to influence arbitrary model parameters. A catalogue of basic constraints is presented, and results are shown.