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Box Splines (Applied Mathematical Sciences) (v. 98) - Carl de Boor; Klaus Höllig; Sherman Riemenschneider
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Box Splines (Applied Mathematical Sciences) (v. 98) - used book

ISBN: 0387941010

ID: 8083280

Compactly supported smooth piecewise polynomial functions provide an efficient tool for the approximation of curves and surfaces and other smooth functions of one and several arguments. Since they are locally polynomial, they are easy to evaluate. Since they are smooth, they can be used when smoothness is required, as in the numerical solution of partial differential equations (in the Finite Element method) or the modeling of smooth sur­ faces (in Computer Aided Geometric Design). Since they are compactly supported, their linear span has the needed flexibility to approximate at all, and the systems to be solved in the construction of approximations are 'banded'. The construction of compactly supported smooth piecewise polynomials becomes ever more difficult as the dimension, s, of their domain G ~ IRs, i. e. , the number of arguments, increases. In the univariate case, there is only one kind of cell in any useful partition, namely, an interval, and its boundary consists of two separated points, across which polynomial pieces would have to be matched as one constructs a smooth piecewise polynomial function. This can be done easily, with the only limitation that the num­ ber of smoothness conditions across such a breakpoint should not exceed the polynomial degree (since that would force the two joining polynomial pieces to coincide). In particular, on any partition, there are (nontrivial) compactly supported piecewise polynomials of degree ~ k and in C(k-l), of which the univar math,mathematical analysis,mathematics,reference,science and math,science and math,textbooks Mathematics, Springer

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Box Splines (Applied Mathematical Sciences) - Carl de Boor, Klaus Höllig, Sherman Riemenschneider
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Carl de Boor, Klaus Höllig, Sherman Riemenschneider:
Box Splines (Applied Mathematical Sciences) - hardcover

ISBN: 0387941010

[SR: 810218], Gebundene Ausgabe, [EAN: 9780387941011], Springer, Springer, Book, [PU: Springer], Springer, 56217011, Mathematische Analyse, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher

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Box Splines - Carl de Boor; Klaus Höllig; Sherman Riemenschneider
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Box Splines - new book

ISBN: 9780387941011

ID: 9780387941011

Mathematics; Analysis Division, algebra, algorithms, equation, numerical analysis, proof Books Book, Springer Science+Business Media

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Riemenschneider, Sherman;Boor, Carl de;Höllig, Klaus: Box Splines
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Riemenschneider, Sherman;Boor, Carl de;Höllig, Klaus: Box Splines - new book

ISBN: 9780387941011

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Applied Mathematical Sciences. 1993. Auflage Applied Mathematical Sciences. 1993. Auflage Bücher > Wissenschaft > Mathematik, [PU: Springer]

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Box Splines - Carl De Boor; Klaus Hollig; Sherman Riemenschneider
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Carl De Boor; Klaus Hollig; Sherman Riemenschneider:
Box Splines - hardcover

1993, ISBN: 9780387941011

ID: 1021439

Hardcover, Buch, [PU: Springer-Verlag New York Inc.]

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Details of the book
Box Splines
Author:

Boor, Carl de; Riemenschneider, Sherman; Höllig, Klaus

Title:

Box Splines

ISBN:

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.

Details of the book - Box Splines


EAN (ISBN-13): 9780387941011
ISBN (ISBN-10): 0387941010
Hardcover
Publishing year: 1993
Publisher: Springer-Verlag GmbH
228 Pages
Weight: 0,508 kg
Language: eng/Englisch

Book in our database since 24.05.2007 05:03:40
Book found last time on 02.07.2017 08:48:00
ISBN/EAN: 9780387941011

ISBN - alternate spelling:
0-387-94101-0, 978-0-387-94101-1


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