Local features in natural images via singularity theory / James Damon, Peter Giblin and Gareth Haslinger.
Material type:
TextSeries: Lecture notes in mathematics ; 2165.Publication details: Switzerland : Springer, 2016.Description: x, 255 pages : illustrations (some color) ; 24 cmISBN: - 9783319414706
- 514.746 23 D163
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 514.746 D163 (Browse shelf(Opens below)) | Available | 137709 |
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| 514.742 Se472 Some novel types of fractal geometry | 514.742 St916 Differential equations on fractals | 514.7420285 B826 Computability of Julia sets | 514.746 D163 Local features in natural images via singularity theory / | 514=3 Al383 Topologischen dualitatssatze | 514=3 Al383 Topologie | 514=3 F634 Einfuhrung in die theorie der Lokalkonvexen raume |
Includes bibliographical references.
1. Introduction --
2. Overview --
3. Apparent Contours for Projections of Smooth Surfaces --
4. Abstract Classification of Singularities Preserving Features --
5. Singularity Equivalence Groups Capturing Interactions --
6. Methods for Classification of Singularities --
7. Methods for Topological Classification of Singularities --
8. Stratifications of Generically Illuminated Surfaces with Geometric Features --
9. Realizations of Abstract Mappings Representing Projection Singularities --
10. Statements of the Main Classification Results --
11. Stable View Projections and Transitions Involving Shade/Shadow Curves on a Smooth Surface (SC) --
12. Transitions Involving Views of Geometric Features (FC) --
13. Transitions Involving Geometric Features and Shade/Shadow Curves (SFC) --
14. Classifications of Stable Multilocal Configurations and Their Generic Transitions.
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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