Circle approximation using integral B-splines

被引：16
|
作者：
Piegl, LA
Tiller, W
机构：
[1] Univ S Florida, Dept Comp Sci & Engn, Tampa, FL 33620 USA
[2] GeomWare Inc, Tyler, TX 75703 USA
来源：
COMPUTER-AIDED DESIGN | 2003年 / 35卷 / 06期
关键词：
curve approximation; circles; B-splines; algorithms;
D O I：
10.1016/S0010-4485(02)00096-9
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
A method to approximate a circular are of any sweep angle with integral B-spline curves of any degree is presented. The idea is to interpolate end derivatives as well as some internal points with integral B-splines of given degree and continuity. The critical element is the choice of the right end derivative directions and magnitudes. The points and the derivatives at these locations are sampled uniformly using the trigonometric equation of the circle. The method is very general in that any degree and any level of parametric continuity can be specified. (C) 2003 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：601 / 607
页数：7
相关论文
共 50 条
  • [21] ωB-splines
    Fang Mei'E
    Wang GuoZhao
    SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2008, 51 (08): : 1167 - 1176
  • [22] ωB-splines
    FANG Mei’E1
    2 College of Computer
    Science in China(Series F:Information Sciences), 2008, (08) : 1167 - 1176
  • [23] Diffeomorphic registration using B-splines
    Rueckert, Daniel
    Aljabar, Paul
    Heckemann, Rolf A.
    Hajnal, Joseph V.
    Hammers, Alexander
    MEDICAL IMAGE COMPUTING AND COMPUTER-ASSISTED INTERVENTION - MICCAI 2006, PT 2, 2006, 4191 : 702 - 709
  • [24] Bivariate B-Splines from Convex Pseudo-circle Configurations
    Schmitt, Dominique
    FUNDAMENTALS OF COMPUTATION THEORY, FCT 2019, 2019, 11651 : 335 - 349
  • [25] TWO-STAGE APPROXIMATION METHODS WITH EXTENDED B-SPLINES
    Davydov, O.
    Prasiswa, J.
    Reif, U.
    MATHEMATICS OF COMPUTATION, 2014, 83 (286) : 809 - 833
  • [26] Approximation Properties for Blended B-Splines on Unstructured Quadrilateral Mesh
    Wang, Ke
    Li, Xin
    COMMUNICATIONS IN MATHEMATICS AND STATISTICS, 2024,
  • [27] Anisotropic spline approximation with non-uniform B-splines
    Sissouno, N.
    APPLICABLE ANALYSIS, 2018, 97 (02) : 135 - 144
  • [28] Linear combinations of B-splines as generating functions for signal approximation
    Reis, MJCS
    Ferreira, PJSG
    Soares, SFSP
    DIGITAL SIGNAL PROCESSING, 2005, 15 (03) : 226 - 236
  • [29] REMARKS ON EXPONENTIAL SPLINES, IN PARTICULAR A CONTOUR INTEGRAL-REPRESENTATION OF EXPONENTIAL B-SPLINES
    WALZ, G
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1989, 11 (06) : 821 - 827
  • [30] Extracting compact fuzzy rules based on adaptive data approximation using B-splines
    Zhang, J
    Köper, S
    Knoll, A
    INTELLIGENT TECHNIQUES AND SOFT COMPUTING IN NUCLEAR SCIENCE AND ENGINEERING, 2000, : 172 - 179
12345