A curve design method with shape control

  • M. Sarfraz*
  • , M. Balah
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Scopus citations

Abstract

A curve design method has been proposed which, in addition to enjoying the good features of cubic splines, possesses interested shape design features too. Two families of shape parameters have been introduced in such a way that one family of parameters is associated with intervals and the other with points. These parameters provide a variety of shape controls like point and interval tension. This is an interpolatory curve scheme, which utilizes a piecewise rational cubic function in its description. The proposed method enjoy ideal geometric properties and geometric continuity of order two is also achieved.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
EditorsVipin Kumar, Marina L. Gavrilova, Chih Jeng Kenneth Tan, Pierre L’Ecuyer, Chih Jeng Kenneth Tan
PublisherSpringer Verlag
Pages670-679
Number of pages10
ISBN (Print)3540401563
DOIs
StatePublished - 2003

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2669
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Keywords

  • Bemstein-bézier
  • Interpolation
  • Shape control
  • Spline
  • Tension

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science

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