Generalized Curvatures

Name: Generalized Curvatures
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642093005
Price: 136.85 EUR
Availability: InStock

Автор: Jean-Marie Morvan

Език:

Корици: С меки корици

Издател: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Наличност: Външен склад в ограничено количество

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136.85 € 267.65 лв

The intent of this book is to set the modern foundations of the theory of generalized curvature meas...

Информация за книгата

Автор

Jean-Marie Morvan

Език

Английски език

Корици

Книга - С меки корици

Издадена

2010

страници

266

EAN

9783642093005

ISBN

3642093000

Enbook ID

01654217

Издател

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Теглоt

398

Размери

158 x 236 x 16

Пълно описание

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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Generalized Curvatures

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Пълно описание

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