Bookcover of Surface Modeling Based on Spherical Splines
Booktitle:

Surface Modeling Based on Spherical Splines

Spherical Splines with Applications in Hermite Interpolation, Hole Filling and Scattered Data Fitting

LAP LAMBERT Academic Publishing (2011-02-25 )

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ISBN-13:

978-3-8443-0745-0

ISBN-10:
3844307451
EAN:
9783844307450
Book language:
English
Blurb/Shorttext:
Spline surfaces defined on planar domains have been studied for more than 40 years and universally recognized as highly effective tools in approximation theory, computer-aided geometric design, computer-aided design, computer graphics and solutions of differential equations. Many methods and theories of bivariate polynomial splines on planar triangulations carry over. However, spherical Bezier-Bernstein polynomial splines defined on sphere have several significant differences from them because sphere is a closed manifold much different from planar domains. This book is based on the dissertation completed in the University of Georgia. It includes following contents: an overview of spherical splines, the method to construct a unique spherical Hermite interpolation splines by using minimal energy method, the estimation of approximation order under L2 and L-infinity norms, methods of hole filling and scattered data fitting with global r-th order continuity. Many examples in this book have demonstrated our theories and applications. This book is especially useful for people who have interest in CAGD, CAD & CG, multivariate splines, geoscience and spline finite element methods.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Jianbao Wu
Number of pages:
112
Published on:
2011-02-25
Stock:
Available
Category:
Informatics
Price:
49.00 €
Keywords:
Approximation Order by Splines, Spherical Splines and Triangulation, Hermite Interpolation on-the-sphere, Multivariate Splines, Hole Filling and Scattered Data Fitting, Minimal Energy Method, Computer-Aided Geometry Design, computer graphics, Surface Modeling, Geoscience, geosciences

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