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007			cr nn 008mamaa
008			220601s2014 sz | o |||| 0|eng d
020			_a9783031795589
024	7		_a10.1007/978-3-031-79558-9 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC _dES-MaUEC
050		4	_aTA1637.5 _b2014 EB
100	1		_aBiasotti, Silvia _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9687773
245	1	0	_aMathematical Tools for Shape Analysis and Description _cby Silvia Biasotti, Bianca Falcidieno, Daniela Giorgi, Michela Spagnuolo
250			_a1st edition 2014
264		1	_aCham _bSpringer International Publishing _c2014
300			_a1 recurso en línea (XIV, 124 páginas)
336			_atexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
347			_aarchivo de texto _bPDF
490	0		_aSynthesis Lectures on Computer Graphics and Animation _x1933-9003
505	0		_aAcknowledgments -- Figure Credits -- About this Book -- 3D Shape Analysis in a Nutshell -- Geometry, Topology, and Shape Representation -- Differential Geometry and Shape Analysis -- Spectral Methods for Shape Analysis -- Maps and Distances between Spaces -- Algebraic Topology and Topology Invariants -- Differential Topology and Shape Analysis -- Reeb Graphs -- Morse and Morse-Smale Complexes -- Topological Persistence -- Beyond Geometry and Topology -- Resources -- Bibliography -- Authors' Biographies .
520			_aThis book is a guide for researchers and practitioners to the new frontiers of 3D shape analysis and the complex mathematical tools most methods rely on. The target reader includes students, researchers and professionals with an undergraduate mathematics background, who wish to understand the mathematics behind shape analysis. The authors begin with a quick review of basic concepts in geometry, topology, differential geometry, and proceed to advanced notions of algebraic topology, always keeping an eye on the application of the theory, through examples of shape analysis methods such as 3D segmentation, correspondence, and retrieval. A number of research solutions in the field come from advances in pure and applied mathematics, as well as from the re-reading of classical theories and their adaptation to the discrete setting. In a world where disciplines (fortunately) have blurred boundaries, the authors believe that this guide will help to bridge the distance between theory and practice. Table of Contents: Acknowledgments / Figure Credits / About this Book / 3D Shape Analysis in a Nutshell / Geometry, Topology, and Shape Representation / Differential Geometry and Shape Analysis / Spectral Methods for Shape Analysis / Maps and Distances between Spaces / Algebraic Topology and Topology Invariants / Differential Topology and Shape Analysis / Reeb Graphs / Morse and Morse-Smale Complexes / Topological Persistence / Beyond Geometry and Topology / Resources / Bibliography / Authors' Biographies.
988			_aSynthesis Collection of Technology_2014
650		7	_2embne _9669495 _aProceso de imágenes _xModelos matemáticos
700	1		_aFalcidieno, B. _q(Bianca) _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9687775
700	1		_aGiorgi, Daniela _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9687777
700	1		_aSpagnuolo, Michela _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _993639
776	0	8	_iPrinted edition: _z9783031795572
776	0	8	_iPrinted edition: _z9783031795596
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-79558-9 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_b03/2023 _dz _eb _zSI