Shape-from-shading for Surfaces Applicable to Planes

Jean-Denis Durou (1) , Jean-Marc Schlenker (2)

1 IRIT-TCI - Traitement et Compréhension d’Images
2 IMT - Institut de Mathématiques de Toulouse UMR5219

Under the classical assumptions of shape-from-shading, we show that the image of any “applicable surface” (surface applicable to a plane) is also the image of a 1- dimensional manifold of applicable surfaces, provided the image contains no singular point. Moreover, we show that the knowledge of a normal in the image sufces to reconstruct the whole shape of the surface, since the problem can be reformulated as an ordinary differential equation w.r.t. the normal, in this case. The usefulness of this theoretical result to document image analysis is straightforward.

Domaines: Vision par ordinateur et reconnaissance de formes [cs.CV]; Synthèse d'image et réalité virtuelle [cs.GR]; Traitement des images [eess.IV]

Jean-Denis Durou, Jean-Marc Schlenker. Shape-from-shading for Surfaces Applicable to Planes. Proceedings of the First International Workshop on Photometric Analysis For Computer Vision - PACV 2007, Oct 2007, Rio de Janeiro, Brazil. 8 p. ⟨inria-00264881⟩