Applied Mathematical Sciences Ser.: Shapes and Diffeomorphisms by Laurent Younes

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Subject
Science
Subject Area
Applied Mathematics
ISBN
9783642120541
類別

關於產品

Product Identifiers

Publisher
Springer
ISBN-10
3642120547
ISBN-13
9783642120541
eBay Product ID (ePID)
108931526

Product Key Features

Number of Pages
Xvi, 438 Pages
Language
English
Publication Name
Shapes and Diffeomorphisms
Publication Year
2010
Subject
Life Sciences / Cell Biology, Geometry / Differential, Applied, Mathematical Analysis
Type
Textbook
Author
Laurent Younes
Subject Area
Mathematics, Science
Series
Applied Mathematical Sciences Ser.
Format
Hardcover

Dimensions

Item Weight
29.5 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
Reviews
From the reviews:The book under review deals with the fascinating subject of shapes. … This is a book on applied mathematics which provides a description of the wide range of methods that have been invented to represent, detect, or compare shapes … together with the necessary mathematical background that they require. The book could also be of interest to an engineering- or computer-science-oriented reader, as it gives in several places concrete algorithms and applicable methods, including experimental illustrations. (Luca Granieri, Mathematical Reviews, Issue 2011 h)This book is an attempt at providing a description of a large range of methods used to represent, detect and compare shapes … together with the mathematical background that they require. … This book on applied mathematics is of interest to engineers and computer scientists having direct applications in the computerized analysis of medical images. This theory will as well lead to other interesting applications in the future. (Corina Mohorianu, Zentralblatt MATH, Vol. 1205, 2011), From the reviews: The book under review deals with the fascinating subject of shapes. … This is a book on applied mathematics which provides a description of the wide range of methods that have been invented to represent, detect, or compare shapes … together with the necessary mathematical background that they require. The book could also be of interest to an engineering- or computer-science-oriented reader, as it gives in several places concrete algorithms and applicable methods, including experimental illustrations. (Luca Granieri, Mathematical Reviews, Issue 2011 h) This book is an attempt at providing a description of a large range of methods used to represent, detect and compare shapes … together with the mathematical background that they require. … This book on applied mathematics is of interest to engineers and computer scientists having direct applications in the computerized analysis of medical images. This theory will as well lead to other interesting applications in the future. (Corina Mohorianu, Zentralblatt MATH, Vol. 1205, 2011), From the reviews: "The book under review deals with the fascinating subject of shapes. ... This is a book on applied mathematics which provides a description of the wide range of methods that have been invented to represent, detect, or compare shapes ... together with the necessary mathematical background that they require. The book could also be of interest to an engineering- or computer-science-oriented reader, as it gives in several places concrete algorithms and applicable methods, including experimental illustrations." (Luca Granieri, Mathematical Reviews, Issue 2011 h) "This book is an attempt at providing a description of a large range of methods used to represent, detect and compare shapes ... together with the mathematical background that they require. ... This book on applied mathematics is of interest to engineers and computer scientists having direct applications in the computerized analysis of medical images. This theory will as well lead to other interesting applications in the future." (Corina Mohorianu, Zentralblatt MATH, Vol. 1205, 2011), From the reviews:The book under review deals with the fascinating subject of shapes. … This is a book on applied mathematics which provides a description of the wide range of methods that have been invented to represent, detect, or compare shapes … together with the necessary mathematical background that they require. The book could also be of interest to an engineering- or computer-science-oriented reader, as it gives in several places concrete algorithms and applicable methods, including experimental illustrations. (Luca Granieri, Mathematical Reviews, Issue 2011 h)
Dewey Edition
22
Series Volume Number
171
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
516.15
Table Of Content
Parametrized Plane Curves.- Medial Axis.- Moment-Based Representation.- Local Properties of Surfaces.- Isocontours and Isosurfaces.- Evolving Curves and Surfaces.- Deformable templates.- Ordinary Differential Equations and Groups of Diffeomorphisms.- Building Admissible Spaces.- Deformable Objects and Matching Functionals.- Diffeomorphic Matching.- Distances and Group Actions.- Metamorphosis.
Synopsis
Shapes are complex objects to apprehend, as mathematical entities, in terms also suitable for computerized analysis and interpretation. This volume provides the background that is required for this purpose, including different approaches that can be used., Shapes are complex objects to apprehend, as mathematical entities, in terms that also are suitable for computerized analysis and interpretation. This volume provides the background that is required for this purpose, including different approaches that can be used to model shapes, and algorithms that are available to analyze them. It explores, in particular, the interesting connections between shapes and the objects that naturally act on them, diffeomorphisms. The book is, as far as possible, self-contained, with an appendix that describes a series of classical topics in mathematics (Hilbert spaces, differential equations, Riemannian manifolds) and sections that represent the state of the art in the analysis of shapes and their deformations.A direct application of what is presented in the book is a branch of the computerized analysis of medical images, called computational anatomy.
LC Classification Number
QA641-670QA299.6-433

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