Elastically deformable models

  • Authors:
  • Demetri Terzopoulos;John Platt;Alan Barr;Kurt Fleischer

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

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

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Abstract

The theory of elasticity describes deformable materials such as rubber, cloth, paper, and flexible metals. We employ elasticity theory to construct differential equations that model the behavior of non-rigid curves, surfaces, and solids as a function of time. Elastically deformable models are active: they respond in a natural way to applied forces, constraints, ambient media, and impenetrable obstacles. The models are fundamentally dynamic and realistic animation is created by numerically solving their underlying differential equations. Thus, the description of shape and the description of motion are unified.