Shape-from-Silhouettes with Unknown Relative Position of the Viewpoints: Investigating a New Problem

A. Bottino and A. Laurentini (Italy)


Shape-from-silhouette; Volume intersection; Visual hull; Object recognition


Reconstructing 3D shapes from 2D silhouettes is a common technique in computer vision. It requires to know 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 and stating in a theoretical framework the problem of understanding 3D shapes from silhouettes when the relative positions of the viewpoints is unknown. In particular, the case of orthographic viewing directions parallel to the same plane is thoroughly discussed, and sets of inequalities are presented which allow determining objects compatible with the silhouettes.

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