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On the choice of a cost function for the reconstruction of surfaces by triangulation between contours

Authors
Publisher
Elsevier
Publication Date
Keywords
  • Mathematical Techniques
  • Optimization
  • Mesh Generation
  • Surfaces

Abstract

Methods for the reconstruction of three-dimensional objects by triangulating between pairs of two-dimensional contours are discussed. Alternative cost functions for optimizing the triangulation are considered, and new cost functions are proposed that measure the narrowness of the triangles. These narrowness functions are particularly well suited to the generation of finite-element meshes.

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