Local Features in Natural Images via Singularity Theory

• Κύριοι συγγραφείς: Damon, James (Συγγραφέας), Giblin, Peter (Συγγραφέας), Haslinger, Gareth (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: Lecture Notes in Mathematics, 2165
• Θέματα: Mathematics.; Computer graphics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Computer science > Mathematics.; Computer mathematics.; Global Analysis and Analysis on Manifolds.; Mathematical Applications in Computer Science.; Computer Imaging, Vision, Pattern Recognition and Graphics.

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 wit...

Πίνακας περιεχομένων:

• 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.