Items related to Multivariate Polysplines: Applications to Numerical...

Multivariate Polysplines: Applications to Numerical and Wavelet Analysis - Softcover

 
9780123909350: Multivariate Polysplines: Applications to Numerical and Wavelet Analysis

Synopsis

Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations. It is an invaluable means to interpolate practical data with smooth functions. Multivariate polysplines have applications in the design of surfaces and "smoothing" that are essential in computer aided geometric design (CAGD and CAD/CAM systems), geophysics, magnetism, geodesy, geography, wavelet analysis and signal and image processing. In many cases involving practical data in these areas, polysplines are proving more effective than well-established methods, such as kKriging, radial basis functions, thin plate splines and minimum curvature.

"synopsis" may belong to another edition of this title.

From the Back Cover

Multivariate Polysplines presents a completely original approach to multivariate spline analysis. Polysplines are piecewise polyharmonic splines and provide a powerful means of interpolating data. Examples in the text indicate that in many practical cases of data smoothing Polysplines are more effective than well-established techniques, such as Kriging, Radial Basis Functions and Minimum Curvature. They also provide new perspectives on wavelet theory with applications to signal and image processing.

Key Features

· Part 1 assumes no special knowledge of partial differential equations and is intended as a graduate level introduction to the topic
· Part 2 develops the theory of cardinal Polysplines, which is a natural generalization of Schoenberg's beautiful one-dimensional theory of cardinal splines.
· Part 3 constructs a wavelet analysis using cardinal Polysplines. The results parallel those found by Chui for the one-dimensional case.
· Part 4 considers the ultimate generalization of Polysplines - on manifolds, for a wide class of higher-order elliptic operators and satisfying a Holladay variational property.

Multivariate Polysplines is aimed principally at specialists in approximation and spline theory, wavelet analysis and signal and image processing. It will also prove a valuable text for people using computer aided geometric design (CAGD and CAD/CAM) systems or smoothing and spline methods in geophysics, geodesy, geology, magnetism etc. as it offers a flexible alternative to traditional tools such as Kriging, Radial Basis Functions and Minimum Curvature.

The book is also suitable as a text for graduate courses on these topics.

Ognyan Kounchev received his M.S. in partial differential equations from Sofia University, Bulgaria and his Ph.D. in optimal control of partial differential equations and numerical methods from the University of Belarus, Minsk. He was awarded a grant from the Volkswagen Foundation (1996-1999) for studying the applications of partial differential equations in approximation and spline theory. Currently, Dr Kounchev is a Fulbright Scholar at the University of Wisconsin-Madison where he works in the Wavelet Ideal Data Representation Center in the Department of Computer Sciences.

About the Author

Ognyan Kounchev received his M.S. in partial differential equations from Sofia University, Bulgaria and his Ph.D. in optimal control of partial differential equations and numerical methods from the University of Belarus, Minsk. He was awarded a grant from the Volkswagen Foundation (1996-1999) for studying the applications of partial differential equations in approximation and spline theory. Currently, Dr Kounchev is a Fulbright Scholar at the University of Wisconsin-Madison where he works in the Wavelet Ideal Data Representation Center in the Department of Computer Sciences.

"About this title" may belong to another edition of this title.

  • PublisherAcademic Press
  • Publication date2011
  • ISBN 10 012390935X
  • ISBN 13 9780123909350
  • BindingPaperback
  • LanguageEnglish
  • Number of pages520

Buy Used

Condition: Good
Oversized paperback, xiv + 498... View this item

Shipping: US$ 34.80
From Ireland to U.S.A.

Destination, rates & speeds

Add to basket

Buy New

View this item

Shipping: US$ 12.79
From United Kingdom to U.S.A.

Destination, rates & speeds

Add to basket

Other Popular Editions of the Same Title

9780124224902: Multivariate Polysplines: Applications to Numerical and Wavelet Analysis

Featured Edition

ISBN 10:  0124224903 ISBN 13:  9780124224902
Publisher: Academic Press, 2001
Hardcover

Search results for Multivariate Polysplines: Applications to Numerical...

Seller Image

Ognyan Kounchev
Published by Academic Press, 2011
ISBN 10: 012390935X ISBN 13: 9780123909350
Used Soft cover

Seller: killarneybooks, Inagh, CLARE, Ireland

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Soft cover. Condition: Good. Oversized paperback, xiv + 498 pages, NOT ex-library. Weight 920g. Bumped upper corner of the front cover at spine (front cover with a short tear and a diagonal indentation; short creases in the upper inner corners of first pages; binding remains firm); a short diagonal crease to the lower outer corner of the front cover and first pages; faint handling marks on page edges externally. Else book looks unread, clean, bright, tight. Unmarked text, free of inscriptions and stamps. -- Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations. It is an invaluable means to interpolate practical data with smooth functions. Multivariate polysplines have applications in the design of surfaces and "smoothing" that are essential in computer aided geometric design (CAGD and CAD/CAM systems), geophysics, magnetism, geodesy, geography, wavelet analysis and signal and image processing. In many cases involving practical data in these areas, polysplines are proving more effective than well-established methods, such as kKriging, radial basis functions, thin plate splines and minimum curvature. -- Part 1 assumes no special knowledge of partial differential equations and is intended as a graduate level introduction to the topic. Part 2 develops the theory of cardinal Polysplines, which is a natural generalization of Schoenberg's beautiful one-dimensional theory of cardinal splines. Part 3 constructs a wavelet analysis using cardinal Polysplines. The results parallel those found by Chui for the one-dimensional case. Part 4 considers the ultimate generalization of Polysplines - on manifolds, for a wide class of higher-order elliptic operators and satisfying a Holladay variational property. -- Readership: Applied and pure mathematicians, computer scientists and researchers and engineers in signal and image processing, CAGD and CAD/CAM systems, geophysics, geography, magnetism and related disciplines. Seller Inventory # 008027

Contact seller

Buy Used

US$ 17.53
Convert currency
Shipping: US$ 34.80
From Ireland to U.S.A.
Destination, rates & speeds

Quantity: 1 available

Add to basket

Stock Image

Ognyan Kounchev
Published by Academic Press, 2001
ISBN 10: 012390935X ISBN 13: 9780123909350
New Paperback
Print on Demand

Seller: Revaluation Books, Exeter, United Kingdom

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Paperback. Condition: Brand New. 520 pages. 9.43x6.15x1.18 inches. This item is printed on demand. Seller Inventory # zk012390935X

Contact seller

Buy New

US$ 213.01
Convert currency
Shipping: US$ 12.79
From United Kingdom to U.S.A.
Destination, rates & speeds

Quantity: 1 available

Add to basket