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Constrained shape modification of cubic B-spline curves by means of knots

✍ Scribed by I. Juhász; M. Hoffmann

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
291 KB
Volume
36
Category
Article
ISSN
0010-4485

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✦ Synopsis

The effect of the modification of knot values on the shape of B-spline curves is examined in this paper. The modification of a knot of a Bspline curve of order k generates a one-parameter family of curves.This family has an envelope which is also a B-spline curve with the same control polygon and of order k 2 1: Applying this theoretical result, three shape control methods are provided for cubic B-spline curves, that are based on the modification of three consecutive knots. The proposed methods enable local shape modifications subject to position and/or tangent constraints that can be specified within well defined limits.

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