Parametric Piecewise Modeling of Bezier and Polynomial Surfaces

Mohamed IMINE; Hiroshi NAGAHASHI

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Parametric Piecewise Modeling of Bezier and Polynomial Surfaces

机译：贝塞尔曲线和多项式曲面的参数分段建模

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摘要

The act of finding or constructing a model for a portion of a given polynomial or Bezier parametric surface from the whole original one is an encountered problem in surface mod- eling. A new method is described for constructing polynomial or Bezier piecewise model from an original one. It is based on the "Parametric Piecewise Model," abbreviated to PPM, of curve rep- resentation. The PPM representation is given by explicit expres- sions in terms of only control points or polynomial coefficients. The generated piecewise model behaves completely as a normal, polynomial or Bezier model in the same way as the original one for the piece of region considered.

机译：从整个原始模型中查找或构造给定多项式或Bezier参数曲面的一部分的模型的行为是曲面建模中遇到的问题。描述了一种从原始模型构造多项式或Bezier分段模型的新方法。它基于曲线表示的“参数分段模型”（缩写为PPM）。 PPM表示由仅针对控制点或多项式系数的显式表达式给出。所生成的分段模型的行为完全类似于普通，多项式或Bezier模型，与原始模型相同。

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来源
《IEICE Transactions on Information and Systems》 |1998年第1期|p.94-104|共11页
作者
Mohamed IMINE; Hiroshi NAGAHASHI;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类无线电电子学、电信技术;
关键词
Bezier control points; polynomial coefficients; surface;

机译：贝塞尔曲线控制点;多项式系数表面;

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4. Watermarking for Bezier Polynomial Surface Models [C] . Kumiko Ikesako, Kenichi Morooka, Hiroshi Nagahashi IASTED International Conference on Computer Graphics and Imaging . 2003

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7. Algorithm to determine the intersection curves between bezier surfaces by the solution of multivariable polynomial system and the differential marching method [O] . Mário Carneiro Faustini, Marcos Sales Guerra Tsuzuki 2000

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8. The B-Representation of Piecewise Polynomial Parametric Curves and Local Adaptation [R] . Tol, A. B. 1981

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Parametric Piecewise Modeling of Bezier and Polynomial Surfaces

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