Overview
- Treats one of the central issues in Image segmentation, still uncovered from a rigorous mathematical point of view
- Description and the use of the algorithms and computer programs are provided
- The software code appcontour, manipulating apparent contours and their invariants, can be used by researchers working in computational geometry
Part of the book series: Computational Imaging and Vision (CIVI, volume 44)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Shape Reconstruction from Apparent Contours
Book Subtitle: Theory and Algorithms
Authors: Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli
Series Title: Computational Imaging and Vision
DOI: https://doi.org/10.1007/978-3-662-45191-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2015
Hardcover ISBN: 978-3-662-45190-8Published: 23 March 2015
Softcover ISBN: 978-3-662-52610-1Published: 09 October 2016
eBook ISBN: 978-3-662-45191-5Published: 25 February 2015
Series ISSN: 1381-6446
Edition Number: 1
Number of Pages: XXIV, 365
Number of Illustrations: 156 b/w illustrations
Topics: Mathematical Applications in Computer Science, Image Processing and Computer Vision, Manifolds and Cell Complexes (incl. Diff.Topology), Calculus of Variations and Optimal Control; Optimization, Mathematical Software