Author : C. K. Chui
Publisher :
ISBN 13 :
Total Pages : 45 pages
Book Rating : 4.:/5 (16 download)
Book Synopsis Vertex Splines and Their Applications to Interpolation of Discrete Data by : C. K. Chui
Download or read book Vertex Splines and Their Applications to Interpolation of Discrete Data written by C. K. Chui and published by . This book was released on 1989 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that B-splines in one variable play a central role in the theory of spline functions. However, although there are various generalizations of the notion of B-splines to the multi-variable setting in the literature, very little is known at this writing on the structure and theory of all compactly supported smooth piecewise polynomial functions on a preassigned grid partition \Delta in R^s , s > 1, unless \Delta is perfectly regular. While we don't have much to offer to the general theory, we will be satisfied with the study of those compactly supported ones with each support containing at least one common vertex and with the interior of the support containing at most one vertex of \Delta. These functions are called vertex splines. The objective of this presentation is to give a brief description of the notion of vertex splines and to discuss their applications to interpolation of discrete data with or without constraints.