Degree reduction of ball control point Bézier surfaces

doi:10.3778/j.issn.1002-8331.2010.35.003

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (35): 11-13.DOI: 10.3778/j.issn.1002-8331.2010.35.003

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Degree reduction of ball control point Bézier surfaces

SHI Mao^1，2，YE Zheng-lin¹，KANG Bao-sheng³

1.Department of Applied Mathematics，Northwestern Polytechnical University，Xi’an 710072，China
2.College of Mathematics and Information Science，Shaanxi Normal University Xi’an 710062，China
3.Department of Computer Engineering and Science，Northwest University，Xi’an 710069，China

Received:2010-10-08 Revised:2010-11-17 Online:2010-12-11 Published:2010-12-11
Contact: SHI Mao

球域张量积Bézier曲面的降阶

石茂^1，2，叶正麟¹，康宝生³

1.西北工业大学应用数学系，西安 710072
2.陕西师范大学数学与信息科学学院，西安 710062
3.西北大学计算机科学系，西安 710069

通讯作者: 石茂

Abstract

Abstract: The problem of degree reduction of ball control points Bézier surface is discussed.For the simplicity，only the degree reduction from （m，n） to （m-1，n-1） is discussed.In the approximation process，it is required that the lower-degree ball control point Bézier surface is closure of the given surface.Compared with the algorithms in the past，the new algorithm computes simply，the error tolerance is got directly，possesses stronger geometric explanation.

摘要： 讨论了球域张量积Bézier曲面的降阶问题。为了简单起见，只考虑了次数（m，n）的Bézier曲面的降阶到次数为（m-1，n-1）的情况。在降阶逼近过程中，要求低阶的张量积Bézier曲面为原有曲面的闭包。与已有的算法相比，该算法具有计算简单、逼近误差直接给出，几何直观性强等优点。

CLC Number:

TP391

SHI Mao^1，2，YE Zheng-lin¹，KANG Bao-sheng³. Degree reduction of ball control point Bézier surfaces[J]. Computer Engineering and Applications, 2010, 46(35): 11-13.

石茂^1，2，叶正麟¹，康宝生³. 球域张量积Bézier曲面的降阶[J]. 计算机工程与应用, 2010, 46(35): 11-13.

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Degree reduction of ball control point Bézier surfaces

球域张量积Bézier曲面的降阶

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