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The general B-spline interpolation method and its application to the modification of curves and surfaces

Authors
Journal
Computer-Aided Design
0010-4485
Publisher
Elsevier
Publication Date
Volume
29
Issue
11
Identifiers
DOI: 10.1016/s0010-4485(97)00024-9
Keywords
  • Modification Of Curves And Surfaces
  • Karlin-Ziegler Theorem
  • Gordon Surface
  • Abbreviated Headline
  • Deformation Of Geometry
Disciplines
  • Design

Abstract

Abstract Direct manipulation of B-spline control points has been used for modifying B-spline curves and surfaces. But, designers usually wish to modify shapes in more direct ways in practical designing situations, such as moving a point on a curve to some desirable location or modifying a tangent vector at some point on a curve into another direction etc. The author will propose a method that enables arbitrary and direct modification of curves by constructing a displacement function. Moreover, a systematic B-spline interpolation method which has enough generality for practical use will be proposed. The method is also available for surfaces and some interesting applications will be shown.

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