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Shape reconstruction from apparent c...

Bellettini, Giovanni.

Shape reconstruction from apparent contourstheory and algorithms /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Shape reconstruction from apparent contoursby Giovanni Bellettini ... [et al.].
Reminder of title:	theory and algorithms /
other author:	Bellettini, Giovanni.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg :2015.
Description:	xxiv, 365 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Manifolds and Cell Complexes (incl. Diff.Topology)
Online resource:	http://dx.doi.org/10.1007/978-3-662-45191-5
ISBN:	9783662451915 (electronic bk.)

Shape reconstruction from apparent contourstheory and algorithms /
Shape reconstruction from apparent contourstheory and algorithms /[electronic resource] :by Giovanni Bellettini ... [et al.]. - Berlin, Heidelberg :Springer Berlin Heidelberg :2015. - xxiv, 365 p. :ill., digital ;24 cm. - Computational imaging and vision,v.441381-6446 ;. - Computational imaging and vision ;v.41..

Introduction -- Chapter 1.A Variational Model on Labelled Graphs with Cusps and Crossings -- Chapter 2.Stable Maps and Morse Descriptions of an Apparent Contour -- Chapter 3.Apparent Contours of Embedded Surfaces -- Chapter 4.Solving the Completion Problem -- Chapter 5.Topological Reconstruction of a Three-dimensional Scene -- Chapter 6.Completeness of Reidemeister-type Moves on Labelled Apparent Contours -- Chapter 7.Invariants of an Apparent Contour -- Chapter 8.Elimination of Cusps -- Chapter 9.The Program "Visible" -- Chapter 10.The Program "Appcontour": User's Guide -- Chapter 11.Variational Analysis of the Model on Labelled Graphs -- Bibliography -- Nomenclature -- Index.

Motivated by a variational model concerning the depth of the objects in a picture and the problem of hidden and illusory contours, this book investigates one of the central problems of computer vision: the topological and algorithmic reconstruction of a smooth three dimensional scene starting from the visible part of an apparent contour. The authors focus their attention on the manipulation of apparent contours using a finite set of elementary moves, which correspond to diffeomorphic deformations of three dimensional scenes. A large part of the book is devoted to the algorithmic part, with implementations, experiments, and computed examples. The book is intended also as a user's guide to the software code appcontour, written for the manipulation of apparent contours and their invariants. This book is addressed to theoretical and applied scientists working in the field of mathematical models of image segmentation.

ISBN: 9783662451915 (electronic bk.)

Standard No.: 10.1007/978-3-662-45191-5doiSubjects--Topical Terms:

253172
Manifolds and Cell Complexes (incl. Diff.Topology)

LC Class. No.: TA1560

Dewey Class. No.: 006.693

Shape reconstruction from apparent contourstheory and algorithms /
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505 0 $a Introduction -- Chapter 1.A Variational Model on Labelled Graphs with Cusps and Crossings -- Chapter 2.Stable Maps and Morse Descriptions of an Apparent Contour -- Chapter 3.Apparent Contours of Embedded Surfaces -- Chapter 4.Solving the Completion Problem -- Chapter 5.Topological Reconstruction of a Three-dimensional Scene -- Chapter 6.Completeness of Reidemeister-type Moves on Labelled Apparent Contours -- Chapter 7.Invariants of an Apparent Contour -- Chapter 8.Elimination of Cusps -- Chapter 9.The Program "Visible" -- Chapter 10.The Program "Appcontour": User's Guide -- Chapter 11.Variational Analysis of the Model on Labelled Graphs -- Bibliography -- Nomenclature -- Index.
520 $a Motivated by a variational model concerning the depth of the objects in a picture and the problem of hidden and illusory contours, this book investigates one of the central problems of computer vision: the topological and algorithmic reconstruction of a smooth three dimensional scene starting from the visible part of an apparent contour. The authors focus their attention on the manipulation of apparent contours using a finite set of elementary moves, which correspond to diffeomorphic deformations of three dimensional scenes. A large part of the book is devoted to the algorithmic part, with implementations, experiments, and computed examples. The book is intended also as a user's guide to the software code appcontour, written for the manipulation of apparent contours and their invariants. This book is addressed to theoretical and applied scientists working in the field of mathematical models of image segmentation.
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