Designing of curves and surfaces using cubic splines with geometric characterization

Muhammad Sarfraz*

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

Abstract

A constructive approach has been adopted to build interpolatory and B-spline like cubic spline curves with a more general continuity than β-continuity. This method provides not only a large variety of very interesting shape controls like biased, point and interval tensions but, as a special case, also recovers a number of spline methods like ν-spline of Nielson, β-splines, γ-splines of Boehm and weighted ν-splines. The curve schemes have also been generalized to produce smooth surfaces with local shape control. The local shape control has been achieved by introducing variable shape parameters.

Original languageEnglish
Pages82-94
Number of pages13
StatePublished - 1997

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition

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