Local Features in Natural Images via Singularity Theory (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
255
Utgivningsdatum
2016-10-01
Upplaga
1st ed. 2016
Förlag
Springer International Publishing AG
Medarbetare
Giblin, Peter / Haslinger, Gareth
Illustratör/Fotograf
Bibliographie
Illustrationer
50 Illustrations, color; 57 Illustrations, black and white; X, 255 p. 107 illus., 50 illus. in color
Dimensioner
234 x 156 x 14 mm
Vikt
381 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9783319414706

Local Features in Natural Images via Singularity Theory

av James Damon, Peter Giblin, Gareth Haslinger
Häftad,  Engelska, 2016-10-01
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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 viewers 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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Innehållsförteckning

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/ShadowContours.- 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/ShadowContours.- 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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