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Quadratic trigonometric polynomial curves with a shape parameter

✍ Scribed by Xuli Han

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
117 KB
Volume
19
Category
Article
ISSN
0167-8396

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✦ Synopsis

Quadratic trigonometric polynomial curves with a shape parameter are presented in this paper. Analogous to the quadratic B-spline curves, the trigonometric polynomial curves are constructed with three consecutive control points for each curve segment and are C 1 continuous with a non-uniform knot vector. With the shape parameters, the trigonometric polynomial curves can yield tight envelopes for the quadratic B-spline curves and can be closer to the given control polygon than the quadratic B-spline curves. The trigonometric polynomial curves also can be decreased to linear trigonometric polynomial curves which can represent ellipses.

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