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Approximation and Modeling with B-Splines

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Klaus Höllig and Jörg Hörner


2013 / xiv + 214 pages / Softcover / ISBN: 978-1-611972-94-8 / List Price $91.00 / SIAM Member Price $63.70 / Order Code OT132

Keywords: B-splines, approximation, modeling, algorithms, geometry


B-splines are fundamental to approximation and data fitting, geometric modeling, automated manufacturing, computer graphics, and numerical simulation. With an emphasis on key results and methods that are most widely used in practice, this textbook provides a unified introduction to the basic components of B-spline theory:

  • approximation methods (mathematics),
  • modeling techniques (engineering), and
  • geometric algorithms (computer science).

A supplemental Web site will provide a collection of problems, some with solutions, slides for use in lectures, and programs with demos.

Approximation and Modeling with B-Splines is appropriate as an advanced undergraduate or first-year graduate text for courses on splines or approximation and geometric modeling for students in mathematics, engineering, and computer science. Practitioners in these fields who are using B-splines in numerical simulations, computer-aided design, and visualization will also find the book useful in their work. 

About the Authors
Klaus Höllig is Chair for Numerical Analysis and Geometric Modeling at the University of Stuttgart. His research focuses on B-spline techniques for partial differential equations, approximation of curves and surfaces, and geometric algorithms. He is author of Finite Element Methods with B-Splines (SIAM, 2003) and coauthor of Box Splines (Springer-Verlag, 1993).

Jörg Hörner is a Research Associate in the Department of Mathematics at the University of Stuttgart. He develops finite element techniques for NURBS domains and is coauthor of the MATLAB™ package FEMB. His interests also include educational projects; in particular he is technical director of Mathematik-Online.

ISBN: 978-1-611972-94-8

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