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带形状参数的插值曲线 被引量：5

Interpolation Curves with Shape Parameters
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摘要 针对αB样条插值曲线仅能整体调控其形状的局限性,通过适当地提高曲线次数并引入若干新的形状参数,构造出2种C2连续的插值曲线,这些曲线的形状既能整体又可局部调控;还给出一种能作整体调控的C3连续的插值曲线. Compared with α-B spline interpolation curve, two families of C^2 continuous interpolation curves are constructed by elevating appropriately and introducing some new shape parameters. Their shape can be controlled totally as well locally. Besides, C^3 continuous interpolation curve that can be controlled totally is also discussed.
作者 邬弘毅 杜炜
机构地区 合肥工业大学理学院
出处 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2006年第3期352-357,共6页 Journal of Computer-Aided Design & Computer Graphics
关键词 α-B样条 形状参数 整体或局部调控 C^2连续 C^3连续 α-B spline shape parameters totally or locally control C^2 continuity C^3 continuity
分类号 TP391.72 [自动化与计算机技术—计算机应用技术] TP391.41 [自动化与计算机技术—计算机应用技术]
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二级参考文献27

  • 1张纪文,罗国明.三次样条曲线的拓广──C曲线[J].计算机辅助工程,1996,5(3):12-20. 被引量：235
  • 2Farin G. NURB Curves and Surfaces. Boston: Peters AK, 1995.
  • 3Farin G. Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide. 2th ed., San Diego: Academic Press,1990.
  • 4Goodman TNT, Unsworth IC Manipulating shape and producing geometric continuity in β-spline curves. IEEE Computer Graphics and Applications, 1986,6:50--56.
  • 5Costantini P. On monotone and convex spline interpolation. Mathematics of Computation, 1986,46:203-214.
  • 6Ancher JC, Gruyer E. Two shape preserving lagrange C^2-interpolants. Numerische Mathematilc, 1993,64:1- 11.
  • 7Manni C, Sablonnière P. Monotone interpolation of order 3 by C^2 cubic splines. IMA Journal of Numerical Analysis, 1997,17(2):305-320.
  • 8Lavery JE. Univariate cubic Lv splines and shape-preserving, multiscale interpolation by univariate cubic L1 splines. Computer Aided Geometric Design, 2000,17(4):319-336.
  • 9Lavery, JE. Shape-Preserving, multiscale interpolation by univariate curvature-based cubic L1 splines in Cartesian and polar coordinates. Computer Aided Geometric Design, 2002,19(4):257-273.
  • 10Cai ZJ. Convergence, error estimation and some properties for four-point interpolation subdivision scheme. Computer Aided Geometric Design, 1995,12(5):459-468.

共引文献135

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引证文献5

二级引证文献47

计算机辅助设计与图形学学报
2006年 第3期

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