Reconstruction of 3D Shapes Considering Inconsistent 2D Silhouettes

José Luis Landabaso, Montse Pardàs, Josep R. Casas

Abstract: The visual hull is defined as the intersection of the visual cones formed by the back-projection of C 2D silhouettes into the 3D space. The set of 2D silhouettes is consistent if there exists at least one volume which exactly explains them. Shape from silhouette (SfS) is the general term used to refer to the techniques employed to obtain a volume from silhouettes, which are considered to be consistent. In this paper we extend the idea of SfS to be used with sets of inconsistent silhouettes resulting from inaccurate calibration and erroneous 2D silhouette extraction techniques. The method presented detects and corrects errors in the silhouettes based on the consistency principle, implying an unbiased treatment of false alarms and misses in 2D.