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有理Bézier曲面的区间隐式化

李宁,王仁宏   

  1. 山东财政学院统计与数理学院;大连理工大学数学科学研究所 济南250014;辽宁大连116024
  • 出版日期:2007-01-20 发布日期:2007-01-20

李宁,王仁宏. 有理Bézier曲面的区间隐式化[J]. 数值计算与计算机应用, 2007, 28(1): 38-46.

INTERVAL IMPLICITIZATION OF RATIONAL BZIER SURFACES

  1. Li Ning (Statistic and Mathematics College,Shandong University of Finance,Jinan 250014,China) Wang Renlaong (Institute of Mathmatical Sciences,Dalian University of Technology,Dalian 116024,Liaoning,China)
  • Online:2007-01-20 Published:2007-01-20
本文依据以往的研究引入了有理Bézier曲面的区间隐式化的概念,即找到一条较低次的区间代数曲面使得给出的有理Bézier曲面落在该区间代数曲面内,并使得该区间代数曲面的宽度达到最小.文中给出了一个通过解一个带有线性限制条件的二次优化问题来计算一有理Bézier曲面的区间代数曲面的算法,并用实例演示了该算法.
In this paper,we propose a concept called interval implicitization of rational bézier surfaces,that is,finding an interval algebraic surface with lower degree which bounds a given parametric rational bézier surface such that the width of the interval algebraic surface is minimized.An algorithm is presented to compute the interval implicit representation of a rational bézier surface by solving an optimal problem with an quadratic object function and linear constraints.An example is provided to demonstrate the algorithm.
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