000 02903nam a22004815i 4500
001 978-3-642-12055-8
003 DE-He213
005 20140220084533.0
007 cr nn 008mamaa
008 100528s2010 gw | s |||| 0|eng d
020 _a9783642120558
_9978-3-642-12055-8
024 7 _a10.1007/978-3-642-12055-8
_2doi
050 4 _aQA641-670
072 7 _aPBMP
_2bicssc
072 7 _aMAT012030
_2bisacsh
082 0 4 _a516.36
_223
100 1 _aYounes, Laurent.
_eauthor.
245 1 0 _aShapes and Diffeomorphisms
_h[electronic resource] /
_cby Laurent Younes.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aXVI, 438p. 36 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v171
505 0 _aParametrized 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.
520 _aShapes are complex objects, which are difficult to apprehend as mathematical entities, in ways that can also be amenable to 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.
650 0 _aMathematics.
650 0 _aGlobal analysis.
650 0 _aVisualization.
650 0 _aGlobal differential geometry.
650 1 4 _aMathematics.
650 2 4 _aDifferential Geometry.
650 2 4 _aGlobal Analysis and Analysis on Manifolds.
650 2 4 _aVisualization.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642120541
830 0 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v171
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-12055-8
912 _aZDB-2-SMA
999 _c111980
_d111980