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三向四次箱样条曲面与Bézier曲面的光滑拼接

杨联强 王东

计算机工程与应用Issue(23):119-121,126,4.
计算机工程与应用Issue(23):119-121,126,4.DOI:10.3778/j.issn.1002-8331.1303-0387

三向四次箱样条曲面与Bézier曲面的光滑拼接

Smooth connection between 3-direction quartic box spline surfaces and Bézier surfaces

杨联强 1王东1

作者信息

  • 1. 安徽大学 数学科学学院,合肥 230601
  • 折叠

摘要

Abstract

Using bivariate quartic polynomial’s Blossom over triangular and rectangular domains, when a 3-direction quartic box spline surface is given, in order to make triangular or rectangular Bézier surface to be C0、C1、C2 connected with it , one kind of explicit sufficient condition of the Bézier surface’s control points which should be subjected is discussed. When geometric modeling with 3-direction quartic box spline surface or Loop subdivision surface, this conclusion is valuable for making Bézier surface to be smooth connected with the modeling surface or to fill holes.

关键词

三向四次箱样条曲面/Bézier曲面/光滑拼接

Key words

3-direction quartic box spline surface/Bézier surface/smooth connection

分类

信息技术与安全科学

引用本文复制引用

杨联强,王东..三向四次箱样条曲面与Bézier曲面的光滑拼接[J].计算机工程与应用,2013,(23):119-121,126,4.

基金项目

国家自然科学基金数学天元基金项目(No.11026076);安徽大学博士科研经费项目(No.31190016);安徽大学本科生科研训练计划(No.KYXL20110003)。 ()

计算机工程与应用

OACSCDCSTPCD

1002-8331

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