TY  - BOOK
AU  - Bellettini,Giovanni
AU  - Beorchia,Valentina
AU  - Paolini,Maurizio
AU  - Pasquarelli,Franco
ED  - SpringerLink (Online service)
TI  - Shape Reconstruction from Apparent Contours: Theory and Algorithms 
T2  - Computational Imaging and Vision,
SN  - 9783662451915
AV  - QA76.9.M35 
U1  - 004.0151 23
PY  - 2015///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg, Imprint: Springer
KW  - mathematics
KW  - Image Processing
KW  - Computer science
KW  - Mathematics
KW  - Computer mathematics
KW  - Computer software
KW  - Calculus of variations
KW  - Manifolds (Mathematics)
KW  - Complex manifolds
KW  - Mathematical Applications in Computer Science
KW  - Image Processing and Computer Vision
KW  - Manifolds and Cell Complexes (incl. Diff.Topology)
KW  - Calculus of Variations and Optimal Control; Optimization
KW  - Mathematical Software
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-662-45191-5
ER  -