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Interval Bézier Surfaces Approximation of Rational Surfaces

Interval Bézier Surfaces Approximation of Rational Surfaces
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摘要 On the basis of the perturbation, we present an approach to approximating rational surfaces by the interval Btzier surfaces using energy minimization method. The approach makes the perturbation surfaces have more restrictions than the original surfaces. It could be combined with subdivision method to obtain a piecewise interval polynomial approximation for a rational surface. The applications of this approach are illustrated too. On the basis of the perturbation, we present an approach to approximating rational surfaces by the interval Btzier surfaces using energy minimization method. The approach makes the perturbation surfaces have more restrictions than the original surfaces. It could be combined with subdivision method to obtain a piecewise interval polynomial approximation for a rational surface. The applications of this approach are illustrated too.
作者 黄林
出处 《Journal of Southwest Jiaotong University(English Edition)》 2010年第1期91-98,共8页 西南交通大学学报(英文版)
基金 Project supported by Inner Mongolia University of Science and Technology (No.X200829)
关键词 Rational surface Interval Bezier surface Polynomial surface APPROXIMATION PERTURBATION Rational surface Interval Bezier surface Polynomial surface Approximation Perturbation
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