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Local Features in Natural Images via Singularity Theory Vital Source e-bog
James Damon, Peter Giblin og Gareth Haslinger
(2016)
Springer Nature
498,00 kr.
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Local Features in Natural Images Via Singularity Theory
James Damon, Peter Giblin og Gareth Haslinger
(2016)
Sprog: Engelsk
Springer International Publishing AG
581,00 kr.
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Detaljer om varen
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Springer Nature (September 2016)
- Forfattere: James Damon, Peter Giblin og Gareth Haslinger
- ISBN: 9783319414713
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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Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- 1. Udgave
- Paperback: 208 sider
- Udgiver: Springer International Publishing AG (Oktober 2016)
- Forfattere: James Damon, Peter Giblin og Gareth Haslinger
- ISBN: 9783319414706
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.
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.
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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