Beta-Bezier Surfaces

Seifalla Moustafa, Anatasia Kazadi, Fuhua Frank Cheng, Shuhua Lai, Alice J. Lin

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, the concept of tension control [1] is developed for Bezier surfaces so that one can reshape a so-called Beta-Bezier surface without moving its control points, a property motivated by NURBS surfaces but can be performed more efficiently and in a friendlier manner with the new surface representation technique. In addition to developing the concept of tension control for Bezier surfaces, an efficient rectangular mesh interpolation scheme for Beta-Bezier surfaces is also developed.

Original languageEnglish
Pages (from-to)693-704
Number of pages12
JournalComputer-Aided Design and Applications
Volume21
Issue number4
DOIs
StatePublished - 2024

Bibliographical note

Publisher Copyright:
© 2024 U-turn Press LLC,.

Keywords

  • Beta-Bezier Curves
  • Beta-Bezier Surfaces
  • Bezier curves
  • Bezier surfaces
  • interpolation
  • tension control

ASJC Scopus subject areas

  • Computational Mechanics
  • Computer Graphics and Computer-Aided Design
  • Computational Mathematics

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