Shape Reconstruction from Apparent Contours
Theory and Algorithms
1st Edition
Published on 25. February 2015
XXIV, 365 pages
978-3-662-45191-5 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XXIV, 365 p. 156 illus.
File size
9,10 MB
ISBN-13
978-3-662-45191-5 (9783662451915)
DOI
10.1007/978-3-662-45191-5
Schweitzer Classification
Other editions
Additional editions
Giovanni Bellettini | Valentina Beorchia | Maurizio Paolini
Shape Reconstruction from Apparent Contours
Theory and Algorithms
Book
03/2015
Springer
€53.49
Shipment within 7-9 days
Content
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.
