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|a 9783319414713
|9 978-3-319-41471-3
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|a 10.1007/978-3-319-41471-3
|2 doi
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|a QA614-614.97
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|a 514.74
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|a Damon, James.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Local Features in Natural Images via Singularity Theory
|h [electronic resource] /
|c by James Damon, Peter Giblin, Gareth Haslinger.
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|a 1st ed. 2016.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2016.
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|a X, 255 p. 107 illus., 50 illus. in color.
|b online resource.
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|a text
|b txt
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|a computer
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|a online resource
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|a text file
|b PDF
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|a Lecture Notes in Mathematics,
|x 1617-9692 ;
|v 2165
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|a Introduction -- 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.
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|a This 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.
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|a Global analysis (Mathematics).
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|a Manifolds (Mathematics).
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|a Computer science-Mathematics.
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|a Image processing-Digital techniques.
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|a Computer vision.
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|a Global Analysis and Analysis on Manifolds.
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|a Mathematical Applications in Computer Science.
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|a Computer Imaging, Vision, Pattern Recognition and Graphics.
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|a Giblin, Peter.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Haslinger, Gareth.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9783319414706
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|i Printed edition:
|z 9783319414720
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|a Lecture Notes in Mathematics,
|x 1617-9692 ;
|v 2165
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|u https://doi.uam.elogim.com/10.1007/978-3-319-41471-3
|z Texto Completo
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|a ZDB-2-SMA
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|a ZDB-2-SXMS
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|a ZDB-2-LNM
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|a Mathematics and Statistics (SpringerNature-11649)
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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