A 4-point interpolatory subdivision scheme for curve design

  • Authors:
  • Nira Dyn;David Levin;John A. Gregory

  • Affiliations:
  • School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv 69978, Israel;School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv 69978, Israel;Department of Mathematics, Brunel University, Uxbridge, Middlesex UB8 3PH, UK

  • Venue:
  • Computer Aided Geometric Design
  • Year:
  • 1987

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Abstract

A 4-point interpolatory subdivision scheme with a tension parameter is analysed. It is shown that for a certain range of the tension parameter the resulting curve is C^1. The role of the tension parameter is demonstrated by a few examples. The application to surfaces and some further potential generalizations are discussed.