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Surface Modeling Based on Spherical Splines: Spherical Splines with Applications in Hermite Interpolation, Hole Filling and Scattered Data Fitting

Surface Modeling Based on Spherical Splines: Spherical Splines with Applications in Hermite Interpolation, Hole Filling and Scattered Data Fitting

Surface Modeling Based on Spherical Splines: Spherical Splines with Applications
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Surface Modeling Based on Spherical Splines: Spherical Splines with Applications in Hermite Interpolation, Hole Filling and Scattered Data Fitting Paperback - 2011

by Wu, Jianbao

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  • Title Surface Modeling Based on Spherical Splines: Spherical Splines with Applications in Hermite Interpolation, Hole Filling and Scattered Data Fitting
  • Author Wu, Jianbao
  • Binding Paperback
  • Condition Used - Good
  • Pages 112
  • Volumes 1
  • Language ENG
  • Publisher LAP Lambert Academic Publishing
  • Publication date 2011-02
  • Bookseller's Inventory # 3844307451.G
  • ISBN 9783844307450 / 3844307451
  • Weight 0.39 lbs (0.18 kg)
  • Dimensions 9 x 6 x 0.27 in (22.86 x 15.24 x 0.69 cm)
  • Category Computers - General Information
  • Quantity available 1

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From the publisher

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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