Box Splines by Carl de BoorBox Splines by Carl de Boor

Box Splines

byCarl de Boor

Hardcover | November 5, 1993

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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.
Title:Box SplinesFormat:HardcoverDimensions:218 pages, 9.25 × 6.1 × 0 inPublished:November 5, 1993Publisher:Springer New York

The following ISBNs are associated with this title:

ISBN - 10:0387941010

ISBN - 13:9780387941011

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