Box Splines (Applied Mathematical Sciences) - Applied Mathematical Sciences Ser. - Carl de Boor, K. Hollig, S. Riemenschneider, Ho¨llig, K, Riemenschneider, S. D (1993)
ISBN 0387941010
Subject Spline theory
Publisher Springer
Publication Date 11/5/1993
Format Hardcover (242 x 160 mm)
Language e
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 way 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.
Personal Details
Collection Status In Collection
Index 534
Read It Yes
Links Amazon US
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Product Details
LoC Classification QA224 .D4 1993
Dewey 511/.42
Cover Price $79.95
No. of Pages 228