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#### Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness

Vieweg+Teubner Verlag 2012; US$ 109.00Michael A. Matt constructs two trivariate local Lagrange interpolation methods which yield optimal approximation order and C r macro-elements based on the Alfeld and the Worsey-Farin split of a tetrahedral partition. The first interpolation method is based on cubic C 1 splines over type-4 cube partitions, for which numerical tests are given. The... more...

#### Spline Functions: Basic Theory

Cambridge University Press 2007; US$ 72.00A reference/advanced text on part of applied analysis with applications in numerical analysis and computer-aided geometric design. more...

#### Multidimensional Minimizing Splines

Springer US 2007; US$ 139.00From the reviews: "Part of the purpose of this book is to describe an abstract theory of minimizing splines which includes the Duchon splines ? . Four chapters are devoted to this subject. ? The rest of the book deals with what are called discrete D m splines. ? These chapters contain explicit examples with tables giving numerical results ?... more...

#### Multivariate Polysplines

Elsevier Science 2001; US$ 165.00Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations. It is an invaluable means to interpolate practical data with smooth functions. Multivariate polysplines have applications in the design of surfaces and "smoothing" that are essential in... more...

#### An Introduction to NURBS

Elsevier Science 2000; US$ 91.95The latest from a computer graphics pioneer, An Introduction to NURBS is the ideal resource for anyone seeking a theoretical and practical understanding of these very important curves and surfaces. Beginning with Bézier curves, the book develops a lucid explanation of NURBS curves, then does the same for surfaces, consistently stressing important... more...

#### Methods of Shape-Preserving Spline Approximation

World Scientific Publishing Company 2000; US$ 163.00This book aims to develop algorithms of shape-preserving spline approximation for curves/surfaces with automatic choice of the tension parameters. The resulting curves/surfaces retain geometric properties of the initial data, such as positivity, monotonicity, convexity, linear and planar sections. The main tools used are generalized tension splines... more...

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