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

Springer 2012; US$ 109.00Michael A. Matt constructs two trivariate local Lagrange interpolation methods which yield optimal approximation order and Cr macro-elements based on the Alfeld and the Worsey-Farin split of a tetrahedral partition. The first interpolation method is based on cubic C1 splines over type-4 cube partitions, for which numerical tests are given. The second... more...

#### Spline Functions: Basic Theory

Cambridge University Press 2007; US$ 72.00Reference/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...

#### 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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