COEFFICIENT FORMULA AND MATRIX OF NONUNIFORM B-SPLINE FUNCTIONS

被引：13
|
作者：
GRABOWSKI, H
LI, X
机构：
[1] Institẗ für Rechneranwendung in Planung und Konstruktion, Universität Karsruhe
来源：
COMPUTER-AIDED DESIGN | 1992年 / 24卷 / 12期
关键词：
CURVES AND SURFACES; NURBS; MATRIX REPRESENTATION; DATA EXCHANGE;
D O I：
10.1016/0010-4485(92)90018-6
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The paper derives a coefficient formula of nonuniform B-spline functions of arbitrary degree from the Cox-de Boor recursive algorithm. An efficient numerical algorithm for the coefficient matrix of nonuniform B-spline functions is also presented that is based on this formula. The results in the paper are useful for the evaluation and conversion of NURBS curves and surfaces in CAD/CAM systems. They will promote the application of product data-exchange standards in industry.
引用
收藏
页码：637 / 642
页数：6
相关论文
共 50 条
  • [31] Fingerprint Representation Methods Based on B-Spline Functions
    Ruan Ke
    [J]. Wuhan University Journal of Natural Sciences, 2004, (02) : 193 - 197
  • [32] A comment on the orthogonalization of B-spline basis functions and their derivatives
    Andrew Redd
    [J]. Statistics and Computing, 2012, 22 : 251 - 257
  • [33] VIBRATION OF SKEW PLATES BY USING B-SPLINE FUNCTIONS
    MIZUSAWA, T
    KAJITA, T
    NARUOKA, M
    [J]. JOURNAL OF SOUND AND VIBRATION, 1979, 62 (02) : 301 - 308
  • [34] MODELING DNA SUPERCOILS AND KNOTS WITH B-SPLINE FUNCTIONS
    HAO, MH
    OLSON, WK
    [J]. BIOPOLYMERS, 1989, 28 (04) : 873 - 900
  • [35] B-spline estimation of regression functions with errors in variable
    Koo, JY
    Lee, KW
    [J]. STATISTICS & PROBABILITY LETTERS, 1998, 40 (01) : 57 - 66
  • [36] Pointwise estimates for B-spline gram matrix inverses
    M. Passenbrunner
    [J]. Journal of Contemporary Mathematical Analysis, 2014, 49 : 78 - 90
  • [37] alpha B-spline: A linear singular blending B-spline
    Loe, KF
    [J]. VISUAL COMPUTER, 1996, 12 (01): : 18 - 25
  • [38] ON THE ASYMPTOTIC CONVERGENCE OF B-SPLINE WAVELETS TO GABOR FUNCTIONS
    UNSER, M
    ALDROUBI, A
    EDEN, M
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1992, 38 (02) : 864 - 871
  • [39] Image Resizing Using Exponential B-Spline Functions
    Du Huiqian
    Mei Wenbo
    [J]. PROCEEDINGS OF THE 2009 2ND INTERNATIONAL CONGRESS ON IMAGE AND SIGNAL PROCESSING, VOLS 1-9, 2009, : 3355 - 3359
  • [40] B-Spline Functions for the Design of Crossover Digital Filters
    Stanciu, Lucian
    Stanciu, Valentin
    Badea, Radu
    [J]. 2018 12TH INTERNATIONAL CONFERENCE ON COMMUNICATIONS (COMM), 2018, : 35 - 38
12345