Title :
Multivariate variation diminishing approximation
Author :
Yanilmaz, Mehmet
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Northwestern Univ., Evanston, IL, USA
Abstract :
Algorithms to generate shape-preserving polynomial interpolants to multivariate data are presented. Multivariate variation diminishing splines over rectangular partitions are considered first. Bernstein-Bezier interpolants over triangulations is the second approach considered. The methods are evaluated in terms of the computational effort required to construct the interpolants
Keywords :
approximation theory; interpolation; splines (mathematics); Bernstein-Bezier interpolants; computational effort; multivariate data; rectangular partitions; shape-preserving polynomial interpolants; splines; triangulations; variation diminishing approximation; Approximation algorithms; Computer science; Finite element methods; Hypercubes; Partitioning algorithms; Polynomials; Shape; Spline; Tensile stress;
Conference_Titel :
Circuits and Systems, 1989., Proceedings of the 32nd Midwest Symposium on
Conference_Location :
Champaign, IL
DOI :
10.1109/MWSCAS.1989.101890
