Cargando…

Local Features in Natural Images via Singularity Theory

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 object...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Damon, James (Autor), Giblin, Peter (Autor), Haslinger, Gareth (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Lecture Notes in Mathematics, 2165
Temas:
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-3-319-41471-3
003 DE-He213
005 20220119144204.0
007 cr nn 008mamaa
008 160930s2016 sz | s |||| 0|eng d
020 |a 9783319414713  |9 978-3-319-41471-3 
024 7 |a 10.1007/978-3-319-41471-3  |2 doi 
050 4 |a QA614-614.97 
072 7 |a PBK  |2 bicssc 
072 7 |a MAT034000  |2 bisacsh 
072 7 |a PBK  |2 thema 
082 0 4 |a 514.74  |2 23 
100 1 |a Damon, James.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Local Features in Natural Images via Singularity Theory  |h [electronic resource] /  |c by James Damon, Peter Giblin, Gareth Haslinger. 
250 |a 1st ed. 2016. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2016. 
300 |a X, 255 p. 107 illus., 50 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Lecture Notes in Mathematics,  |x 1617-9692 ;  |v 2165 
505 0 |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. 
520 |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. 
650 0 |a Global analysis (Mathematics). 
650 0 |a Manifolds (Mathematics). 
650 0 |a Computer science-Mathematics. 
650 0 |a Image processing-Digital techniques. 
650 0 |a Computer vision. 
650 1 4 |a Global Analysis and Analysis on Manifolds. 
650 2 4 |a Mathematical Applications in Computer Science. 
650 2 4 |a Computer Imaging, Vision, Pattern Recognition and Graphics. 
700 1 |a Giblin, Peter.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Haslinger, Gareth.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319414706 
776 0 8 |i Printed edition:  |z 9783319414720 
830 0 |a Lecture Notes in Mathematics,  |x 1617-9692 ;  |v 2165 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-41471-3  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
912 |a ZDB-2-LNM 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)