Surface Modeling Based on Spherical Splines - Wu, Jianbao
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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…mehr

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Produktbeschreibung
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 bookhave 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.
Autorenporträt
Ph.D. (the University of Georgia, USA). He was an Associate Professor in Guangzhou Normal University. He has wide experience in CAGD & CG, spline theory and applications, numerical solutions of differential equations, software development, statistical genetics and clinical trials. He is currently working as a Biostatistician at Everest CRS Inc..