Spline Functions on Triangulations, Ming-Jun Lai

Автор: Aurenhammer Franz
Название: Voronoi Diagrams and Delaunay Triangulations
ISBN: 9814447633 ISBN-13(EAN): 9789814447638
Издательство: World Scientific Publishing
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Описание: Voronoi diagrams partition space according to the influence certain sites exert on their environment. Since the 17th century, such structures play an important role in many areas like Astronomy, Physics, Chemistry, Biology, Ecology, Economics, Mathematics and Computer Science. They help to describe zones of political influence, to determine the hospital nearest to an accident site, to compute collision-free paths for mobile robots, to reconstruct curves and surfaces from sample points, to refine triangular meshes, and to design location strategies for competing markets.This unique book offers a state-of-the-art view of Voronoi diagrams and their structure, and it provides efficient algorithms towards their computation.Readers with an entry-level background in algorithms can enjoy a guided tour of gently increasing difficulty through a fascinating area. Lecturers might find this volume a welcome source for their courses on computational geometry. Experts are offered a broader view, including many alternative solutions, and up-to-date references to the existing literature; they might benefit in their own research or application development.

Автор: Larry Schumaker
Название: Spline Functions: Basic Theory
ISBN: 0521705126 ISBN-13(EAN): 9780521705127
Издательство: Cambridge Academ
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Описание: The latest edition of this classic work continues to offer a comprehensive treatment of the theory of univariate and tensor-product splines. It includes a supplement outlining the major advances in the theory since 1981, and some 250 new references. Ideal for courses in splines, approximation theory or numerical analysis.