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Approximate Convertion of Two Types of Bézier Curves

Author: TanJingDong
Tutor: HuangYouDu；SuHuaMing
School: Hefei University of Technology
Course: Computational Mathematics
Keywords: B (?) Zier curve Rational B (?) Zier curve Reduction Approximation Approximate Merging h approximation H approximation Rational approximation
CLC: O241.5
Type: Master's thesis
Year: 2003
Downloads: 71
Quote: 1
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Abstract


This paper studies the Bézier curves and rational Bézier curve approximation conversion problem , that they Degree reduction approximation and approximation merger . In the second chapter introduces the polynomial Bézier curve descending order approximation and multi-degree reduction approximation, polynomial Bézier curve combined in optimal control approach introduced in the third chapter , in the fourth chapter describes the rational the Bézier curve polynomial approximation and H approximation approximation --- h , approaching the same rational Bézier curve merge with rational Bézier curve optimization in the fifth chapter .

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CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > Numerical approximation
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