Generating B-spline curves with points, normals and curvature constraints: A constructive approach

Abdulwahed Abbas, Ahmad Nasri, Takashi Maekawa

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

This paper presents a constructive method for generating a uniform cubic B-spline curve interpolating a set of data points simultaneously controlled by normal and curvature constraints. By comparison, currently published methods have addressed one or two of those constraints (point, normal or cross-curvature interpolation), but not all three constraints simultaneously with C2 continuity. Combining these constraints provides better control of the generated curve in particular for feature curves on free-form surfaces. Our approach is local and provides exact interpolation of these constraints.

Original languageEnglish
Pages (from-to)823-829
Number of pages7
JournalVisual Computer
Volume26
Issue number6-8
DOIs
Publication statusPublished - 2010 Jun 1
Externally publishedYes

Keywords

  • B-splines curves and surfaces
  • Curvature
  • Fitting
  • Interpolation
  • Limit curve and surface
  • Normal
  • Recursive subdivision

ASJC Scopus subject areas

  • Software
  • Computer Vision and Pattern Recognition
  • Computer Graphics and Computer-Aided Design

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