title: Geotensity: combining motion and lighting for 3D surface reconstruction
abstract: This paper is about automatically reconstructing the full 3D surface of an object observed in motion by a single static camera. Based on the two paradigms, structure from motion and linear intensity subspaces, we introduce the geotensity constraint that governs the relationship between four or more images of a moving object. We show that it is possible in theory to solve for 3D Lambertian surface structure for the case of a single point light source and propose that a solution exists for an arbitrary number point light sources. The surface may or may not be textured. We then give an example of automatic surface reconstruction of a face under a point light source using arbitrary unknown object motion and a single fixed camera
keyphrases: full 3D surface single static camera linear intensity subspaces geotensity constraint 3D Lambertian surface structure single point light source point light source arbitrary number point light sources automatic surface reconstruction linear image subspaces structure-from-motion