Smooth spline surfaces over arbitrary topological triangular meshes

Research output: Contribution to journalArticlepeer-review

Abstract

The paper introduces an algorithm for creating smooth spline surfaces over control triangular meshes capable of outlining arbitrary free-form surfaces with or without boundary. The resulting surface has a degree 4 parametric polynomial representation and is represented as a network of tangent plane continuous triangular Bezier patches. The approximation of resulting surface to mesh is controlled by a blend ratio; when the blend ratio is zero, surfaces interpolate meshes. The algorithm is a local method, simple, efficient and fit for appearance design.

Original languageEnglish
Pages (from-to)830-837
Number of pages8
JournalRuan Jian Xue Bao/Journal of Software
Volume14
Issue number4
StatePublished - Apr 2003
Externally publishedYes

Keywords

  • Blend ratio
  • Control triangular mesh
  • Geometric continuity
  • Spline surface
  • Triangular Bezier patch

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