Language:
English
繁體中文
Help
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Local Features in Natural Images via...
~
Damon, James.
Local Features in Natural Images via Singularity Theory
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Local Features in Natural Images via Singularity Theory/ by James Damon, Peter Giblin, Gareth Haslinger.
Author:
Damon, James.
other author:
Giblin, Peter.
Description:
X, 255 p. 107 illus., 50 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Global analysis (Mathematics). -
Online resource:
https://doi.org/10.1007/978-3-319-41471-3
ISBN:
9783319414713
Local Features in Natural Images via Singularity Theory
Damon, James.
Local Features in Natural Images via Singularity Theory
[electronic resource] /by James Damon, Peter Giblin, Gareth Haslinger. - 1st ed. 2016. - X, 255 p. 107 illus., 50 illus. in color.online resource. - Lecture Notes in Mathematics,21650075-8434 ;. - Lecture Notes in Mathematics,2144.
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.
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.
ISBN: 9783319414713
Standard No.: 10.1007/978-3-319-41471-3doiSubjects--Topical Terms:
1255807
Global analysis (Mathematics).
LC Class. No.: QA614-614.97
Dewey Class. No.: 514.74
Local Features in Natural Images via Singularity Theory
LDR
:03539nam a22004095i 4500
001
975050
003
DE-He213
005
20200704070454.0
007
cr nn 008mamaa
008
201211s2016 gw | 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
035
$a
978-3-319-41471-3
050
4
$a
QA614-614.97
072
7
$a
PBKS
$2
bicssc
072
7
$a
MAT034000
$2
bisacsh
072
7
$a
PBKS
$2
thema
082
0 4
$a
514.74
$2
23
100
1
$a
Damon, James.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1113903
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
0075-8434 ;
$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).
$3
1255807
650
0
$a
Manifolds (Mathematics).
$3
1051266
650
0
$a
Computer science—Mathematics.
$3
1253519
650
0
$a
Computer mathematics.
$3
1199796
650
0
$a
Optical data processing.
$3
639187
650
1 4
$a
Global Analysis and Analysis on Manifolds.
$3
672519
650
2 4
$a
Mathematical Applications in Computer Science.
$3
815331
650
2 4
$a
Computer Imaging, Vision, Pattern Recognition and Graphics.
$3
671334
700
1
$a
Giblin, Peter.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1113904
700
1
$a
Haslinger, Gareth.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1113905
710
2
$a
SpringerLink (Online service)
$3
593884
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
0075-8434 ;
$v
2144
$3
1254300
856
4 0
$u
https://doi.org/10.1007/978-3-319-41471-3
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)
based on 0 review(s)
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login