Author: G.H Kirov
Publisher: Taylor & Francis
Keywords: splines, quasi, approximation
Number of Pages: 247
Published: 1992-01-01
List price: $112.00
ISBN-10: 0750301813
ISBN-13: 9780750301817

In the theory of splines, a function is approximated piece-wise by (usually cubic) polynomials. Quasi-splines is the natural extension of this, allowing us to use any useful class of functions adapted to the problem.Approximation with Quasi-Splines is a detailed account of this highly useful technique in numerical analysis.The book presents the requisite approximation theorems and optimization methods, developing a unified theory of one and several variables. The author applies his techniques to the evaluation of definite integrals (quadrature) and its many-variables generalization, which he c

Author: Carl De Boor
Publisher: Springer
Keywords: splines, guide, practical
Number of Pages: 368
Published: 2001-11-29
List price: $89.95
ISBN-10: 0387953663
ISBN-13: 9780387953663

This book is based on the author’s experience with calculations involving polynomial splines. It presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines. After two chapters summarizing polynomial approximation, a rigorous discussion of elementary spline theory is given involving linear, cubic and parabolic splines. The computational handling of piecewise polynomial functions (of one variable) of arbitrary order is the subject of chapters VII and VIII, while chapters IX, X, and XI are dev

Author: Richard F. Riesenfeld
Publisher: AK Peters
Keywords: introduction, splines, modeling, geometric
Number of Pages: 600
Published: 2001-07
List price: $79.00
ISBN-10: 1568811373
ISBN-13: 9781568811376

Written by researchers who have helped to found and shape the field, this book is a definitive introduction to geometric modeling. The authors present a broad base of fundamentally important techniques for curve and surface representations in computer-aided modeling with a focus on how the techniques can be used in design. In achieving a balance between mathematical rigor and broad applicability, they show how theoretical properties can be harnessed to drive practical algorithms, how a somewhat more abstract treatment can occasionally provide unifying elegance and implementational advantage.

Authors:Anatoly Yu. Bezhaev, Vladimir A. Vasilenko,
Publisher: Springer
Keywords: splines, theory, variational
Number of Pages: 298
Published: 2001-08-31
List price: $139.00
ISBN-10: 0306466422
ISBN-13: 9780306466427

This book is a systematic description of the variational theory of splines in Hilbert spaces. All central aspects are discussed in the general form: existence, uniqueness, characterization via reproducing mappings and kernels, convergence, error estimations, vector and tensor hybrids in splines, dimensional reducing (traces of splines onto manifolds), etc. All considerations are illustrated by practical examples. In every case the numerical algorithms for the construction of splines are demonstrated.

Authors:N. P. Korneichuk, A. A. Ligun, V. F. Babenko,
Publisher: Nova Science Pub Inc
Keywords: splines, polynomials, properties, extremal
Number of Pages: 439
Published: 1996-06
List price: $110.00
ISBN-10: 1560723610
ISBN-13: 9781560723615

Authors:Carl de Boor, K. Hollig, S. Riemenschneider,
Publisher: Springer
Keywords: sciences, mathematical, applied, splines
Number of Pages: 200
Published: 1993-11-05
List price: $89.95
ISBN-10: 0387941010
ISBN-13: 9780387941011

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 p

Author: Steck
Publisher: Amer Mathematical Society
Keywords: steklov, institute, mathematics, proceedings, splines, functions, polynomials, approximation
Number of Pages: 270
Published: 1980-06
List price: $145.00
ISBN-10: 082183049X
ISBN-13: 9780821830499