Surface Modeling Based on Spherical Splines Spherical Splines with Applications in Hermite Interpolation, Hole Filling and Scattered Data Fitting
-
- Englisch ausgewählt
Fr. 67.90
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
25.02.2011
Verlag
LAP LAMBERT Academic PublishingSeitenzahl
112
Maße (L/B/H)
22/15/0.7 cm
Gewicht
185 g
Auflage
1. Auflage
Sprache
Englisch
ISBN
978-3-8443-0745-0
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.
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