Approximation of minimum energy surfaces using optimal twists

  • Authors:
  • R. Qu;J. Ye

  • Affiliations:
  • Department of Mathematics National University of Singapore 10 Kent Ridge Crescent, Republic of Singapore 119260;Department of Mathematics National University of Singapore 10 Kent Ridge Crescent, Republic of Singapore 119260

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 1998

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Abstract

This paper gives a method for specifying the optimal 'twist vectors' at grid points for an interpolating surface to a rectangular network of curves. These twists are uniquely determined by minimizing an approximate energy form of the surface and can be obtained by solving a well-defined linear system.