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Box Splines






Publisher:  Springer
Summary: This book on box splines is the first book giving a complete development for any kind of multivariate spline. Box splines give rise to an intriguing and beautiful mathematical theory that is much richer and more intricate than the univariate case because of the complexity of smoothly joining polynomial pieces on polyhedral cells. The purpose of this book is to provide the basic facts about box splines in a cohesive w...ay with simple, complete proofs, many illustrations, and with an up-to-date bibliography. It is not the book's intention to be encyclopedic about the subject, but rather to provide the fundamental knowledge necessary to familiarize graduate students and researchers in analysis, numerical analysis, and engineering with a subject that surely will have as many widespread applications as its univariate predecessor. This book will be used as a supplementary text for graduate courses. The book begins with chapters on box splines defined, linear algebra of box spline spaces, and quasi-interpolants and approximation power. It continues with cardinal interpolation and difference equations, approximation by cardinal splines and wavelets. The book concludes with discrete box splines and linear diophantine equations, and subdivision algorithms.

De Boor, Carl is the author of Box Splines, published under ISBN 9780387941011 and 0387941010. One hundred Box Splines textbooks are available for sale on ValoreBooks.com, two used from the cheapest price of $16.80, or buy new starting at $73.89.
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Box Splines

ISBN-13: 9780387941011

ISBN: 0387941010

Publisher: Springer
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