rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Shape Reconstruction from Apparent Contours
    sub title: Theory and Algorithms
  name:
    name part: Bellettini, Giovanni.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Beorchia, Valentina.
    role:
      role term: author.
  name:
    name part: Paolini, Maurizio.
    role:
      role term: author.
  name:
    name part: Pasquarelli, Franco.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2015
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXIV, 365 p. 156 illus. online resource.
  abstract: 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.
  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.
  note: by Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli.
  subject:
    topic: Mathematics
  subject:
    topic: Image processing
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Computer mathematics
  subject:
    topic: Computer software
  subject:
    topic: Calculus of variations
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: Complex manifolds
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical Applications in Computer Science
  subject:
    topic: Image Processing and Computer Vision
  subject:
    topic: Manifolds and Cell Complexes (incl. Diff.Topology)
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Mathematical Software
  classification: QA76.9.M35
  classification: 004.0151
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Computational Imaging and Vision, 44
  identifier: 9783662451915
  identifier: http://dx.doi.org/10.1007/978-3-662-45191-5
  record info:
    record creation date: 150225
    record change date: 20151204160341.0
    record identifier: 978-3-662-45191-5