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001			978-3-031-79558-9
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008			220601s2014 sz | s |||| 0|eng d
020			_a9783031795589 _9978-3-031-79558-9
024	7		_a10.1007/978-3-031-79558-9 _2doi
050		4	_aQA1-939
072		7	_aPB _2bicssc
072		7	_aMAT000000 _2bisacsh
072		7	_aPB _2thema
082	0	4	_a510 _223
100	1		_aBiasotti, Silvia. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _981956
245	1	0	_aMathematical Tools for Shape Analysis and Description _h[electronic resource] / _cby Silvia Biasotti, Bianca Falcidieno, Daniela Giorgi, Michela Spagnuolo.
250			_a1st ed. 2014.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2014.
300			_aXIV, 124 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_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.
650		0	_aMathematics. _911584
650		0	_aImage processing _xDigital techniques. _94145
650		0	_aComputer vision. _981957
650	1	4	_aMathematics. _911584
650	2	4	_aComputer Imaging, Vision, Pattern Recognition and Graphics. _931569
700	1		_aFalcidieno, Bianca. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _981958
700	1		_aGiorgi, Daniela. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _981959
700	1		_aSpagnuolo, Michela. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _981960
710	2		_aSpringerLink (Online service) _981961
773	0		_tSpringer Nature eBook
776	0	8	_iPrinted edition: _z9783031795572
776	0	8	_iPrinted edition: _z9783031795596
830		0	_aSynthesis Lectures on Computer Graphics and Animation, _x1933-9003 _981962
856	4	0	_uhttps://doi.org/10.1007/978-3-031-79558-9
912			_aZDB-2-SXSC
942			_cEBK
999			_c85276 _d85276