Author: Chong Gu
Publisher: Springer
Keywords: models, anova, spline, smoothing
Number of Pages: 320
Published: 2002-01-08
List price: $115.00
ISBN-10: 0387953531
ISBN-13: 9780387953533

Nonparametric function estimation with stochastic data, otherwise known as smoothing, has been studied by several generations of statisticians. Assisted by the recent availability of ample desktop and laptop computing power, smoothing methods are now finding their ways into everyday data analysis by practitioners. While scores of methods have proved successful for univariate smoothing, ones practical in multivariate settings number far less. Smoothing spline ANOVA models are a versatile family of smoothing methods derived through roughness penalties that are suitable for both univariate and mu

Author: Helmuth Spath
Publisher: AK Peters, Ltd.
Keywords: algorithms, interpolation, spline, dimensional
Number of Pages: 304
Published: 1995-06
List price: $89.00
ISBN-10: 1568810172
ISBN-13: 9781568810171

Presents a practical introduction to computing two dimensional spline functions and takes the elementary and directly applicable approach of using explicit and easily evaluated forms of the spline interpolants. DLC: Spline theory - Data processing.

Author: Larry Schumaker
Publisher: Cambridge University Press
Keywords: mathematical, library, cambridge, theory, functions, basic, spline
Number of Pages: 598
Published: 2007-09-17
List price: $65.00
ISBN-10: 0521705126
ISBN-13: 9780521705127

This classic work continues to offer a comprehensive treatment of the theory of univariate and tensor-product splines. It will be of interest to researchers and students working in applied analysis, numerical analysis, computer science, and engineering. The material covered provides the reader with the necessary tools for understanding the many applications of splines in such diverse areas as approximation theory, computer-aided geometric design, curve and surface design and fitting, image processing, numerical solution of differential equations, and increasingly in business and the bioscienc

Authors:Hartmut Prautzsch, Wolfgang Boehm, Marco Paluszny,
Publisher: Springer
Keywords: techniques, spline, bezier
Number of Pages: 304
Published: 2002-10-03
List price: $139.00
ISBN-10: 3540437614
ISBN-13: 9783540437611

This book provides a solid and uniform derivation of the various properties Bézier and B-spline representations have, and shows the beauty of the underlying rich mathematical structure. The book focuses on the core concepts of Computer Aided Geometric Design with the intension to give a clear and illustrative presentation of the basic principles, as well as a treatment of advanced material including multivariate splines, some subdivision techniques and constructions of free form surfaces with arbitrarily smoothness. The text is beautifully illustrated with many excellent figures to emphasize

Author: Randall L. Eubank
Publisher: CRC Press
Keywords: series, textbooks, monographs, statistics, second, regression, spline, smoothing, nonparametric
Number of Pages: 360
Published: 1999-02-09
List price: $98.95
ISBN-10: 0824793374
ISBN-13: 9780824793371

Provides a unified account of the most popular approaches to nonparametric regression smoothing. This edition contains discussions of boundary corrections for trigonometric series estimators; detailed asymptotics for polynomial regression; testing goodness-of-fit; estimation in partially linear models; practical aspects, problems and methods for confidence intervals and bands; local polynomial regression; and form and asymptotic properties of linear smoothing splines.

Authors:Serge Dubuc, Gilles Deslauriers,
Publisher: American Mathematical Society
Keywords: proceedings, lecture, notes, crm, wavelets, functions, theory, spline
Number of Pages: 397
Published: 1999-02
List price: $122.00
ISBN-10: 0821808753
ISBN-13: 9780821808757

This work is based on a series of thematic workshops on the theory of wavelets and the theory of splines. Important applications are included. The volume is divided into four parts: Spline Functions, Theory of Wavelets, Wavelets in Physics, and Splines and Wavelets in Statistics. Part one presents the broad spectrum of current research in the theory and applications of spline functions. Theory ranges from classical univariate spline approximation to an abstract framework for multivariate spline interpolation. Applications include scattered-data interpolation, differential eq

Author: Grace Wahba
Publisher: SIAM: Society for Industrial and Applied Mathematics
Keywords: conference, series, applied, mathematics, regional, nsf, models, observational, data, cbms, spline
Number of Pages: 180
Published: 1990-09-01
List price: $55.50
ISBN-10: 0898712440
ISBN-13: 9780898712445

This book serves well as an introduction into the more theoretical aspects of the use of spline models. It develops a theory and practice for the estimation of functions from noisy data on functionals. The simplest example is the estimation of a smooth curve, given noisy observations on a finite number of its values. The estimate is a polynomial smoothing spline. By placing this smoothing problem in the setting of reproducing kernel Hilbert spaces, a theory is developed which includes univariate smoothing splines, thin plate splines in d dimensions, splines on the sphere, additive splines, an