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Generalized Curvatures (Geometry and Computing) [Hardcover]

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Item description for Generalized Curvatures (Geometry and Computing) by Jean-Marie Morvan...

The intent of this book is to set the modern foundations of the theory of generalized curvature measures. This subject has a long history, beginning with J. Steiner (1850), H. Weyl (1939), H. Federer (1959), P. Wintgen (1982), and continues today with young and brilliant mathematicians. In the last decades, a renewal of interest in mathematics as well as computer science has arisen (finding new applications in computer graphics, medical imaging, computational geometry, visualization ...).

Following a historical and didactic approach, the book introduces the mathematical background of the subject, beginning with curves and surfaces, going on with convex subsets, smooth submanifolds, subsets of positive reach, polyhedra and triangulations, and ending with surface reconstruction. We focus on the theory of normal cycle, which allows to compute and approximate curvature measures of a large class of smooth or discrete objects of the Euclidean space. We give explicit computations when the object is a 2 or 3 dimensional polyhedron.

This book can serve as a textbook to any mathematician or computer scientist, engineer or researcher who is interested in the theory of curvature measures.

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Item Specifications...

Pages   266
Est. Packaging Dimensions:   Length: 9.45" Width: 6.22" Height: 0.63"
Weight:   1.15 lbs.
Binding  Hardcover
Release Date   Jul 18, 2008
Publisher   Springer
ISBN  354073791X  
ISBN13  9783540737919  

Availability  123 units.
Availability accurate as of Oct 27, 2016 07:10.
Usually ships within one to two business days from La Vergne, TN.
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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Differential Geometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Number Systems
4Books > Subjects > Science > General
5Books > Subjects > Science > Mathematics > General
6Books > Subjects > Science > Mathematics > Geometry & Topology > Differential Geometry
7Books > Subjects > Science > Mathematics > Number Systems

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