Surface Modeling Based on Spherical Splines
Jianbao Wu
Broschiertes Buch

Surface Modeling Based on Spherical Splines

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

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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 dissertatio...