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Author Bellettini, Giovanni,
Title Shape reconstruction from apparent contours : theory and algorithms / Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli.
Imprint Heidelberg : Springer, [2015]

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Series Computational imaging and vision, 1381-6446 ; volume 44
Computational imaging and vision ; v. 44.
Subject Three-dimensional imaging.
Computer vision.
Geometry -- Data processing.
Alt Name Beorchia, Valentina,
Maurizio, Paolini,
Pasquarelli, Franco,
Description 1 online resource : illustrations.
Bibliography Note Includes bibliographical references and index.
Summary 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, writtenfor 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.
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.
Access License restrictions may limit access.
Note Online resource; title from PDF title page (Ebsco, viewed March 4, 2015).
ISBN 9783662451915 (electronic bk.)
3662451913 (electronic bk.)
ISBN/ISSN 10.1007/978-3-662-45191-5
OCLC # 904131863
Additional Format Print version: Bellettini, Giovanni. Shape Reconstruction from Apparent Contours : Theory and Algorithms. Dordrecht : Springer, 2015 9783662451908