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Shape Reconstruction from Apparent Contours = Theory and Algorithms /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Shape Reconstruction from Apparent Contours/ by Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli.
Reminder of title:	Theory and Algorithms /
Author:	Bellettini, Giovanni.
other author:	Beorchia, Valentina.
Description:	XXIV, 365 p. 156 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Computer science—Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-662-45191-5
ISBN:	9783662451915

Shape Reconstruction from Apparent Contours = Theory and Algorithms /
Bellettini, Giovanni.

Shape Reconstruction from Apparent ContoursTheory and Algorithms /[electronic resource] :by Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli. - 1st ed. 2015. - XXIV, 365 p. 156 illus.online resource. - Computational Imaging and Vision,441381-6446 ;. - Computational Imaging and Vision,44.

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

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

1253519
Computer science—Mathematics.

LC Class. No.: QA76.9.M35

Dewey Class. No.: 004.0151

Shape Reconstruction from Apparent Contours = Theory and Algorithms /
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