基于二元混合有理插值的形状渐变方法  

Shape Morphing Method Based on Bivariate Blending Rational Interpolation

作　　者：李璐[1] 张大明[1] 刘华勇[1] 

机构地区：[1]安徽建筑工业学院数理系,合肥230601

出　　处：《计算机工程》2010年第17期226-227,231,共3页Computer Engineering

基　　金：安徽高等学校省级优秀青年人才基金资助项目(2009SQRZ102;2010SQRL093);2009年安徽建筑工业学院青年专项基金资助项目;安徽省教育厅自然科学基金资助项目(KJ2010B050)

摘　　要：为实现多个多边形间的平滑自然渐变,提出基于二元混合向量值有理插值的非线性二维形状渐变方法。将多个多边形的顶点坐标作为平面域上的向量,利用二元Newton-Thiele型向量连分式建立有理插值曲面,通过对插值曲面进行重采样得到一系列渐变中间多边形。实验结果表明,该方法具有计算精度高、适应性强、易于编程实现的特点。In order to realize metamorphosis among series of polygons, this paper presents a non-linear 2D shape morphing method based on bivariate blending vector rational interpolation. It makes the vertex coordinate of series of polygons as vector on plane domain, builds rational interpolation surface by bivariate Newton-Thiele vector continued fraction, and series of metamorphosis polygons are generated by resembling the surface of this interpolation function. Experimental results show that this method has the high precision of calculation, strong adaptation and easiness of programming.

关 键 词：向量值有理插值 多边形渐变 向量连分式 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]