Surface Modeling Based on Spherical Splines: Spherical Splines with Applications in Hermite Interpolation, Hole Filling and Scat,Used

Surface Modeling Based on Spherical Splines: Spherical Splines with Applications in Hermite Interpolation, Hole Filling and Scat,Used

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SKU: DADAX3844307451
Brand: LAP Lambert Academic Publishing
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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, computeraided geometric design, computeraided design, computer graphics and solutions of differential equations. Many methods and theories of bivariate polynomial splines on planar triangulations carry over. However, spherical BezierBernstein 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 Linfinity norms, methods of hole filling and scattered data fitting with global rth 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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