Curves and Surfaces

Curves and Surfaces
ISBN-10
1483263878
ISBN-13
9781483263878
Series
Curves and Surfaces
Category
Mathematics
Pages
532
Language
English
Published
2014-05-12
Publisher
Academic Press
Authors
Larry L. Schumaker, Pierre-Jean Laurent, Alain Le Méhauté

Description

Curves and Surfaces provides information pertinent to the fundamental aspects of approximation theory with emphasis on approximation of images, surface compression, wavelets, and tomography. This book covers a variety of topics, including error estimates for multiquadratic interpolation, spline manifolds, and vector spline approximation. Organized into 77 chapters, this book begins with an overview of the method, based on a local Taylor expansion of the final curve, for computing the parameter values. This text then presents a vector approximation based on general spline function theory. Other chapters consider a nonparametric technique for estimating under random censorship the amplitude of a change point in change point hazard models. This book discusses as well the algorithm for ray tracing rational parametric surfaces based on inversion and implicitization. The final chapter deals with the results concerning the norm of the interpolation operator and error estimates for a square domain. This book is a valuable resource for mathematicians.

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