000 04279nam a22005055i 4500
001 978-3-319-41471-3
003 DE-He213
005 20190213151540.0
007 cr nn 008mamaa
008 160930s2016 gw | s |||| 0|eng d
020 _a9783319414713
_9978-3-319-41471-3
024 7 _a10.1007/978-3-319-41471-3
_2doi
050 4 _aQA614-614.97
072 7 _aPBKS
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKS
_2thema
082 0 4 _a514.74
_223
100 1 _aDamon, James.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aLocal Features in Natural Images via Singularity Theory
_h[electronic resource] /
_cby James Damon, Peter Giblin, Gareth Haslinger.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aX, 255 p. 107 illus., 50 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2165
505 0 _aIntroduction -- Overview -- Part I-Mathematical Basis for Analysis of Feature-Shade/Shadow- Contours -- Abstract Classification of Singularities Preserving Features -- Singularity Equivalence Groups Capturing Interactions -- Methods for Classification of Singularities -- Methods for Topological Classification of Singularities -- Part II-The Classification of Interactions Involving Feature– Shade/Shadow–Contours -- Stratifications of Generically Illuminated Surfaces with Geometric Features -- Realizations of Abstract Mappings Representing Projection Singularities -- Statements of the Main Classification Results -- Part III-Classifications of Interactions of Pairs of Feature– Shade/Shadow–Contours -- Stable View Projections and Transitions involving Shade/Shadow Curves on a Smooth Surface (SC) -- Transitions involving Views of Geometric Features (FC) -- Part IV-Classifications of Multiple Interactions -- Transitions involving Geometric Features and Shade/Shadow Curves (SFC) -- Classifications of Stable Multilocal Configurations and Their Generic Transitions -- Bibliography.
520 _aThis monograph considers a basic problem in the computer analysis of natural images, which are images of scenes involving multiple objects that are obtained by a camera lens or a viewer’s eye. The goal is to detect geometric features of objects in the image and to separate regions of the objects with distinct visual properties. When the scene is illuminated by a single principal light source, we further include the visual clues resulting from the interaction of the geometric features of objects, the shade/shadow regions on the objects, and the “apparent contours”. We do so by a mathematical analysis using a repertoire of methods in singularity theory. This is applied for generic light directions of both the “stable configurations” for these interactions, whose features remain unchanged under small viewer movement, and the generic changes which occur under changes of view directions. These may then be used to differentiate between objects and determine their shapes and positions.
650 0 _aGlobal analysis.
650 0 _aComputer vision.
650 1 4 _aGlobal Analysis and Analysis on Manifolds.
_0http://scigraph.springernature.com/things/product-market-codes/M12082
650 2 4 _aMathematical Applications in Computer Science.
_0http://scigraph.springernature.com/things/product-market-codes/M13110
650 2 4 _aComputer Imaging, Vision, Pattern Recognition and Graphics.
_0http://scigraph.springernature.com/things/product-market-codes/I22005
700 1 _aGiblin, Peter.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aHaslinger, Gareth.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319414706
776 0 8 _iPrinted edition:
_z9783319414720
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2165
856 4 0 _uhttps://doi.org/10.1007/978-3-319-41471-3
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c11055
_d11055