摘要
提出了一种二元函数偏广义逆,利用提出的偏广义逆定义了二元函数的偏倒差商,利用这种偏倒差商给出了基于Thiele型连分式插值算法的有理插值蒙皮曲面以及一种具有承接性的有理插值蒙皮曲面递推算法。利用融合技术以及低次的切触基于函数广义逆连分插值,构造了有理插值蒙皮样条曲面,给出了参数形式的有理插值蒙皮曲面,数值仿真例子说明了本文提出的蒙皮曲面造型的有效性。
A two-variable functions partial generalized inverse was proposed, and using the proposed partial generalized inverse, the partial inverse difference of two-variable functions was defined, and then based on the partial inverse difference. Thiele continued fraction interpolation algorithm for rational interpolation skinning surface and parameters rational interpolation spline skinning surface were proposed respectively. Interpolation recursion formula for the rational interpolation skinning surface was presented, and numerical simulation example illustrates the effectiveness of skinning surface modeling algorithm.
出处
《系统仿真学报》
CAS
CSCD
北大核心
2016年第10期2497-2502,共6页
Journal of System Simulation
基金
国家自然科学基金(61272024)
湖南省自然科学基金(10JJ3008)
关键词
函数广义逆
偏倒差商
连分式
有理超限插值
蒙皮曲面
function generalized inverse
partial inverse difference
continued fractions
rational transfinite interpolation
skinning surface
