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Shape reconstruction from apparent c...
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Bellettini, Giovanni.
Shape reconstruction from apparent contours[electronic resource] :theory and algorithms /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
杜威分類號:
006.693
書名/作者:
Shape reconstruction from apparent contours : theory and algorithms // by Giovanni Bellettini ... [et al.].
其他作者:
Bellettini, Giovanni.
出版者:
Berlin, Heidelberg : : Springer Berlin Heidelberg :, 2015.
面頁冊數:
xxiv, 365 p. : : ill., digital ;; 24 cm.
Contained By:
Springer eBooks
標題:
Three-dimensional imaging.
標題:
Computer vision.
標題:
Geometry - Data processing.
標題:
Mathematics.
標題:
Mathematical Applications in Computer Science.
標題:
Image Processing and Computer Vision.
標題:
Manifolds and Cell Complexes (incl. Diff.Topology)
標題:
Calculus of Variations and Optimal Control; Optimization.
標題:
Mathematical Software.
ISBN:
9783662451915 (electronic bk.)
ISBN:
9783662451908 (paper)
內容註:
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.
摘要、提要註:
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.
電子資源:
http://dx.doi.org/10.1007/978-3-662-45191-5
Shape reconstruction from apparent contours[electronic resource] :theory and algorithms /
Shape reconstruction from apparent contours
theory and algorithms /[electronic resource] :by Giovanni Bellettini ... [et al.]. - Berlin, Heidelberg :Springer Berlin Heidelberg :2015. - xxiv, 365 p. :ill., digital ;24 cm. - Computational imaging and vision,v.441381-6446 ;. - Computational imaging and vision ;v.41..
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.
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.
ISBN: 9783662451915 (electronic bk.)
Standard No.: 10.1007/978-3-662-45191-5doiSubjects--Topical Terms:
443083
Three-dimensional imaging.
LC Class. No.: TA1560
Dewey Class. No.: 006.693
Shape reconstruction from apparent contours[electronic resource] :theory and algorithms /
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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.
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