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
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)。 ()