Shape preserving F3 curve interpolation

  • Authors:
  • V. P. Kong;B. H. Ong

  • Affiliations:
  • School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia;School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia

  • Venue:
  • Computer Aided Geometric Design
  • Year:
  • 2002

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Abstract

A local shape preserving curve interpolation scheme in R3 which allows local modification of the curve is derived. A piecewise rational quartic Bézier curve which is F3 continuous is used to pass through the given sequence of data points. A formula for the approximation of torsion based on the given data points is also presented.