Name
Abstract | ||
|---|---|---|
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 Cl 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. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1016/S0167-8396(02)00126-7 | Computer Aided Geometric Design |
Keywords | Field | DocType |
control polygon,linear trigonometric polynomial curve,quadratic trigonometric polynomial curve,consecutive control point,trigonometric polynomial,non-uniform knot vector,quadratic b-spline curve,curve segment,splines,trigonometric polynomial curve,shape parameter,trigonometric curve,b splines | Trigonometric polynomial,Mathematical optimization,Trigonometric functions,Differentiation of trigonometric functions,Polynomial interpolation,Mathematical analysis,Matrix polynomial,Mathematics,Trigonometric interpolation,Trigonometric integral,Pythagorean trigonometric identity | Journal |
Volume | Issue | ISSN |
19 | 7 | Computer Aided Geometric Design |
Citations | PageRank | References |
29 | 2.13 | 5 |
Authors | ||
1 | ||