Piecewise quadratic trigonometric polynomial curves

被引：34

作者：

Han, XL ^{[1
]}

机构：

[1] Cent S Univ, Dept Appl Math & Appl Software, Changsha 410083, Peoples R China

来源：

MATHEMATICS OF COMPUTATION | 2003年 / 72卷 / 243期

关键词：

trigonometric polynomial; trigonometric curve; splines;

D O I：

10.1090/S0025-5718-03-01530-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Analogous to the quadratic B-spline curve, a piecewise quadratic trigonometric polynomial curve is presented in this paper. The quadratic trigonometric polynomial curve has C(2) continuity, while the quadratic B-spline curve has C(1) continuity. The quadratic trigonometric polynomial curve is closer to the given control polygon than the quadratic B-spline curve.

引用

页码：1369 / 1377

页数：9

共 11 条

[1]

Hoschek J., 1993, Fundamentals of computer aided geometric design

[2]

Koch P. E., 1995, Advances in Computational Mathematics, V3, P405, DOI 10.1007/BF03028369

[3] MULTIVARIATE TRIGONOMETRIC B-SPLINES [J].

KOCH, PE .

JOURNAL OF APPROXIMATION THEORY, 1988, 54 (02) :162-168

[4] Quasi-interpolants based on trigonometric splines [J].

Lyche, T ;

Schumaker, LL ;

Stanley, S .

JOURNAL OF APPROXIMATION THEORY, 1998, 95 (02) :280-309

[5] STABLE RECURRENCE RELATION FOR TRIGONOMETRIC B-SPLINES [J].

LYCHE, T ;

WINTHER, R .

JOURNAL OF APPROXIMATION THEORY, 1979, 25 (03) :266-279

[6]

Lyche T., 1979, BIT (Nordisk Tidskrift for Informationsbehandling), V19, P229, DOI 10.1007/BF01930853

[7] Shape preserving representations for trigonometric polynomial curves [J].

Pena, JM .

COMPUTER AIDED GEOMETRIC DESIGN, 1997, 14 (01) :5-11

[8] Harmonic rational Bezier curves, p-Bezier curves and trigonometric polynomials [J].

Sanchez-Reyes, J .

COMPUTER AIDED GEOMETRIC DESIGN, 1998, 15 (09) :909-923

[9]

SCHOENBERG IJ, 1964, J MATH MECH, V13, P795

[10] Identities for trigonometric B-splines with an application to curve design [J].

Walz, G .

BIT, 1997, 37 (01) :189-201

← 1 2 →