Overview

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.

Full Product Details

Author:   Giovanni Bellettini ,  Valentina Beorchia ,  Maurizio Paolini ,  Franco Pasquarelli
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 2015
Volume:   44
Dimensions:   Width: 15.50cm , Height: 2.10cm , Length: 23.50cm
Weight:   5.913kg
ISBN:  

9783662526101

ISBN 10:   3662526107
Pages:   365
Publication Date:   09 October 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions