B-SPLINE CURVES AND SURFACES VIEWED AS DIGITAL-FILTERS

被引:25
|
作者
GOSHTASBY, A
CHENG, F
BARSKY, BA
机构
[1] UNIV KENTUCKY,DEPT COMP SCI,LEXINGTON,KY 40506
[2] UNIV CALIF BERKELEY,DIV COMP SCI,EECS,BERKELEY,CA 94720
来源
COMPUTER VISION GRAPHICS AND IMAGE PROCESSING | 1990年 / 52卷 / 02期
关键词
D O I
10.1016/0734-189X(90)90058-4
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we show that B-spline curves and surfaces can be viewed as digital filters. Viewing B-spline problems as digital filters allows one to predict some properties of the generated curves and surfaces. We find that even-order B-splines and odd-order B-splines behave differently when used in curve and surface interpolation. Even-order B-splines generate smoother curves and surfaces than do odd-order B-splines. © 1990.
引用
收藏
页码:264 / 275
页数:12
相关论文
共 50 条
  • [1] Characterization of B-spline digital filters
    Samadi, S
    Ahmad, MO
    Swamy, MNS
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2004, 51 (04) : 808 - 816
  • [2] Fairing of Parametric Cubic B-spline Curves and Bicubic B-spline Surfaces
    Mu Guowang
    CADDM, 1997, (02) : 11 - 18
  • [3] Approximate merging of B-spline curves and surfaces
    Jun Chen
    Guo-jin Wang
    Applied Mathematics-A Journal of Chinese Universities, 2010, 25 : 429 - 436
  • [4] Approximate merging of B-spline curves and surfaces
    Chen Jun
    Wang Guo-jin
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2010, 25 (04) : 429 - 436
  • [5] Approximation with rational B-spline curves and surfaces
    Elsasser, B
    MATHEMATICAL METHODS FOR CURVES AND SURFACES II, 1998, : 87 - 94
  • [6] Reconstruction of symmetric B-spline curves and surfaces
    Zhu, Weidong
    Ke, Yinglin
    Chinese Journal of Mechanical Engineering (English Edition), 2007, 20 (04): : 112 - 116
  • [7] Approximate computation of curves on B-spline surfaces
    Yang, Yi-Jun
    Cao, Song
    Yong, Jun-Hai
    Zhang, Hui
    Paul, Jean-Claude
    Sun, Jia-Guang
    Gu, He-Jin
    COMPUTER-AIDED DESIGN, 2008, 40 (02) : 223 - 234
  • [8] EVEN DEGREE B-SPLINE CURVES AND SURFACES
    RABUT, C
    CVGIP-GRAPHICAL MODELS AND IMAGE PROCESSING, 1992, 54 (04): : 351 - 356
  • [9] Approximation with active B-spline curves and surfaces
    Pottmann, H
    Leopoldseder, S
    Hofer, M
    10TH PACIFIC CONFERENCE ON COMPUTER GRAPHICS AND APPLICATIONS, PROCEEDINGS, 2002, : 8 - 25
  • [10] Approximate merging of B-spline curves and surfaces
    CHEN Jun WANG Guojin Department of Mathematics Zhejiang University Hangzhou China Ningbo University of Technology Ningbo China
    AppliedMathematics:AJournalofChineseUniversities(SeriesB), 2010, 25 (04) : 429 - 436