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008 150225s2015 gw | s |||| 0|eng d
020 _a9783662451915
_z978-3-662-45191-5
024 7 _a10.1007/978-3-662-45191-5
_2doi
050 4 _aQA76.9.M35
072 7 _aPBWH
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPBWH
_2thema004.0151
_223
100 1 _aBellettini, Giovanni.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aShape Reconstruction from Apparent Contours :
_bTheory and Algorithms /
_cby Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2015.
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aComputational Imaging and Vision,
_x1381-6446 ;
_v44
505 0 _aIntroduction -- Chapter 1.A Variational Model on Labelled Graphs with Cusps and Crossings -- Chapter 2.Stable Maps and Morse Descriptions of an Apparent Contour -- Chapter 3.Apparent Contours of Embedded Surfaces -- Chapter 4.Solving the Completion Problem -- Chapter 5.Topological Reconstruction of a Three-dimensional Scene -- Chapter 6.Completeness of Reidemeister-type Moves on Labelled Apparent Contours -- Chapter 7.Invariants of an Apparent Contour -- Chapter 8.Elimination of Cusps -- Chapter 9.The Program “Visible” -- Chapter 10.The Program “Appcontour”: User’s Guide -- Chapter 11.Variational Analysis of the Model on Labelled Graphs -- Bibliography -- Nomenclature -- Index.
520 _aMotivated by a variational model concerning the depth of the objects in a picture and the problem of hidden and illusory contours, this book investigates one of the central problems of computer vision: the topological and algorithmic reconstruction of a smooth three dimensional scene starting from the visible part of an apparent contour. The authors focus their attention on the manipulation of apparent contours using a finite set of elementary moves, which correspond to diffeomorphic deformations of three dimensional scenes. A large part of the book is devoted to the algorithmic part, with implementations, experiments, and computed examples. The book is intended also as a user's guide to the software code appcontour, written for the manipulation of apparent contours and their invariants. This book is addressed to theoretical and applied scientists working in the field of mathematical models of image segmentation.
650 0 _aComputer vision.
650 0 _aCell aggregation
_xMathematics.
650 0 _aMathematical optimization.
650 0 _aComputer software.
650 1 4 _aMathematical Applications in Computer Science.
_0http://scigraph.springernature.com/things/product-market-codes/M13110
650 2 4 _aImage Processing and Computer Vision.
_0http://scigraph.springernature.com/things/product-market-codes/I22021
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
_0http://scigraph.springernature.com/things/product-market-codes/M28027
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
_0http://scigraph.springernature.com/things/product-market-codes/M26016
650 2 4 _aMathematical Software.
_0http://scigraph.springernature.com/things/product-market-codes/M14042
700 1 _aBeorchia, Valentina.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aPaolini, Maurizio.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aPasquarelli, Franco.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
856 4 0 _uhttps://doi.org/10.1007/978-3-662-45191-5
_3Springer eBooks
_zOnline access link to the resource
912 _aZDB-2-SCS
999 _c200434526
_d52738
942 _2lcc
_cEBK
041 _aeng