Reconstructing 3D Objects from Silhouettes with Unknown Viewpoints: The Case of Planar Orthographic Views

  • Andrea Bottino
  • Luc Jaulin
  • Aldo Laurentini
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2905)

Abstract

3D shapes can be reconstructed from 2D silhouettes by back-projecting them from the corresponding viewpoints and intersecting the resulting solid cones. This requires knowing the position of the viewpoints with respect to the object. But what can we say when this information is not available? This paper provides a first insight into the problem, introducing the problem of understanding 3D shapes from silhouettes when the relative positions of the viewpoints are unknown. In particular, the case of orthographic silhouettes with viewing directions parallel to the same plane is thoroughly discussed. Also we introduce sets of inequalities, which describe all the possible solution sets and show how to calculate the feasible solution space of each set.

Keywords

Visual Hull Solid Cone Reconstructed Object Orthographic Projection Opposite Vertex 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Andrea Bottino
    • 1
  • Luc Jaulin
    • 2
  • Aldo Laurentini
    • 1
  1. 1.Dipartimento di Automatica ed InformaticaPolitecnico di TorinoTorinoItaly
  2. 2.LISAAngersFrance

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