B-spline scale-space of spline curves and surfaces

被引：6
|
作者：
Kee, C. Y. [2 ]
Lee, S. L. [1 ]
机构：
[1] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore
[2] Natl Univ Singapore, Temasek Labs, Singapore 117411, Singapore
来源：
COMPUTER-AIDED DESIGN | 2012年 / 44卷 / 04期
关键词：
B-spline scale-space; B-spline curves and surfaces;
D O I：
10.1016/j.cad.2011.11.005
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We present iterative algorithms for B-spline scale-space smoothing of geometric data and recovery of high frequency information in the smoothing process. The scale-space representation is based on a directional smoothing process using B-splines. If the geometric data are approximated or modelled by uniform B-splines or box-splines then the scale-space smoothing produces B-spline curves or box-spline surfaces. The method is applicable to geometric data processing and geometric modelling of free-form curves and surfaces from quadrilateral polyhedra with extraordinary vertices. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：275 / 288
页数：14
相关论文
共 50 条
  • [1] From Gaussian scale-space to B-spline scale-space
    Wang, YP
    Lee, SL
    [J]. ICASSP '99: 1999 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, PROCEEDINGS VOLS I-VI, 1999, : 3441 - 3444
  • [2] Fairing of Parametric Cubic B-spline Curves and Bicubic B-spline Surfaces
    Mu Guowang
    [J]. CADDM, 1997, (02) : 11 - 18
  • [3] Approximate merging of B-spline curves and surfaces
    Jun Chen
    Guo-jin Wang
    [J]. Applied Mathematics-A Journal of Chinese Universities, 2010, 25 : 429 - 436
  • [4] Approximation with active B-spline curves and surfaces
    Pottmann, H
    Leopoldseder, S
    Hofer, M
    [J]. 10TH PACIFIC CONFERENCE ON COMPUTER GRAPHICS AND APPLICATIONS, PROCEEDINGS, 2002, : 8 - 25
  • [5] 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
    [J]. COMPUTER-AIDED DESIGN, 2008, 40 (02) : 223 - 234
  • [6] Approximate merging of B-spline curves and surfaces
    Chen Jun
    Wang Guo-jin
    [J]. APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2010, 25 (04): : 429 - 436
  • [7] Approximation with rational B-spline curves and surfaces
    Elsasser, B
    [J]. MATHEMATICAL METHODS FOR CURVES AND SURFACES II, 1998, : 87 - 94
  • [8] EVEN DEGREE B-SPLINE CURVES AND SURFACES
    RABUT, C
    [J]. CVGIP-GRAPHICAL MODELS AND IMAGE PROCESSING, 1992, 54 (04): : 351 - 356
  • [9] 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
    [J]. Applied Mathematics:A Journal of Chinese Universities(Series B)., 2010, 25 (04) - 436
  • [10] RECONSTRUCTION OF SYMMETRIC B-SPLINE CURVES AND SURFACES
    ZHU Weidong KE Yinglin College of Mechanical and Energy Engineering
    [J]. Chinese Journal of Mechanical Engineering, 2007, (04) : 112 - 116
12345