Multidimensional Minimizing Splines

Theory and Applications

R. Arcangéli, María Cruz López de Silanes, Juan José Torrens

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English

Springer Verlag
01 June 2004

Mathematics & Sciences; Mathematical foundations

Audience: This book would be of interest to mathematicians, geologists, engineers and, in general, researchers and post graduate students involved in spline function theory, surface fitting problems or variational methods.

By: R. Arcangéli, María Cruz López de Silanes, Juan José Torrens
Imprint: Springer Verlag
Country of Publication: United States
Dimensions: Height: 235mm, Width: 155mm, Spine: 17mm
Weight: 602g
ISBN: 9781402077869
ISBN 10: 1402077866
Pages: 280
Publication Date: 01 June 2004
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

(m, s)-Splines.- The spaces Xm, s.- Interpolating (m, s)-Splines.- Smoothing (m, s)-Splines.- (m,l,s)-Splines.- Dm-Splines Over a Bounded Domain of ?n.- Dm-Splines Over ?.- Discrete Dm-Splines.- Univariate Dm-Splines.- Applications of Discrete Dm-Splines.- Construction of Explicit Surfaces from Large Data Sets.- Approximation of Faulted Explicit Surfaces.- Fitting an Explicit Surface Along a Set of Curves.- Fitting an Explicit Surface Over an Open Set.- Approximation of Parametric Surfaces.

Reviews for Multidimensional Minimizing Splines: Theory and Applications

"From the reviews: ""Part of the purpose of this book is to describe an abstract theory of minimizing splines which includes the Duchon splines … . Four chapters are devoted to this subject. … The rest of the book deals with what are called discrete Dm splines. … These chapters contain explicit examples with tables giving numerical results … . The book is well organized, and the English is very good. I recommend the book to researchers in approximation theory, and to anyone interested in bivariate data fitting."" (L.L. Schumaker, Mathematical Reviews, 2005) ""This book is devoted to the theory of multivariate minimizing splines and some applications in surface approximation. It is mainly written for postgraduates. … This well-written book is divided into 3 parts. Part A presents the theory of (m,s)-splines over Rn. … In Part B, the authors treat Dm-splines over a bounded domain … . Finally, Part C discusses some applications in geophysics and geology arising in oil research."" (Manfred Tasche, Zentralblatt MATH, Vol. 1064 (15), 2005)"