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Modifying a knot of B-spline curves

✍ Scribed by Imre Juhász; Miklós Hoffmann

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
53 KB
Volume
20
Category
Article
ISSN
0167-8396

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✦ Synopsis

The modification of a knot of a B-spline curve of order k generates a family of B-spline curves. We show that an envelope of this family is a B-spline curve defined by the same control polygon, and its order is km, where m is the multiplicity of the modified knot. Moreover, their arbitrary order derivatives differ only in a multiplier.

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