ON A BEZIER-TYPE CURVE

被引:0
|
作者
DERRIENNIC, MM
机构
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
One defines a new parametric curve, polynomial of degree n, passing within a distance O (n(-1/2)) from T arbitrary points of R(d), preserving the shape of the data points. Based on Bernstein-type polynomials, it is similar to the Bezier curve by its properties. Therefore its degree is independent on the number of the data points. Its expression as a Fourier-Legendre sum allows a fast drawing.
引用
收藏
页码:455 / 460
页数:6
相关论文
共 50 条
  • [11] THE APPROXIMATION OF A COMPOSITE BEZIER CUBIC CURVE BY A COMPOSITE BEZIER QUADRATIC CURVE
    COX, MG
    HARRIS, PM
    IMA JOURNAL OF NUMERICAL ANALYSIS, 1991, 11 (02) : 159 - 180
  • [12] On the Selection of Bezier Points in Bezier Curve Smoothing
    Kim, Choongrak
    Park, Jin-Hee
    KOREAN JOURNAL OF APPLIED STATISTICS, 2012, 25 (06) : 1049 - 1058
  • [13] Representation of a circle by one type of quintic rational Bezier curve
    Ling, XY
    Zhang, CM
    Zhang, AW
    CAD/ GRAPHICS TECHNOLOGY AND ITS APPLICATIONS, PROCEEDINGS, 2003, : 349 - 350
  • [14] Comment on "Defining a curve as a Bezier curve"
    Sanchez-Reyes, J.
    JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2020, 14 (01): : 849 - 850
  • [15] SUBDIVISION OF THE BEZIER CURVE
    CHANG, G
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1983, 19 (08) : 1227 - 1233
  • [16] The distance between a point and a bezier curve on a bezier surface
    Chen, Wen-Haw
    Chen, Sheng-Gwo
    World Academy of Science, Engineering and Technology, 2010, 41 : 291 - 294
  • [17] The distance between a point and a bezier curve on a bezier surface
    Chen, Wen-Haw
    Chen, Sheng-Gwo
    World Academy of Science, Engineering and Technology, 2010, 65 : 291 - 294
  • [18] Curve fitting with Bezier cubics
    Shao, LJ
    Zhou, H
    GRAPHICAL MODELS AND IMAGE PROCESSING, 1996, 58 (03): : 223 - 232
  • [19] Bezier Curve for Trajectory Guidance
    Choi, Ji-wung
    Elkaim, Gabriel Hugh
    WCECS 2008: WORLD CONGRESS ON ENGINEERING AND COMPUTER SCIENCE, 2008, : 625 - 630
  • [20] Convex subdivision of a Bezier curve
    Ait-Haddou, R
    Herzog, W
    COMPUTER AIDED GEOMETRIC DESIGN, 2002, 19 (08) : 663 - 671