Geotensity constraint for 3D surface reconstruction
Atsuto Maki, Mutsumi Watanabe, Charles Wiles · Systems and Computers in Japan · 2004
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 thegeotensity constraintthat governs the relationship between four or more images of a moving object, and argue that the constraint is more valid under object motion than the conventional one of constant brightness. We first show that it is possible in theory to solve for 3D surface structure for the case of a single point light source. We then propose to adapt the geotensity constraint to the case of multiple point light sources by mathematically segmenting the illumination space into multiple subspaces. The surface may or may not be textured. The theoretical propositions are investigated through experiments using both real and synthetic images. © 2004 Wiley Periodicals, Inc. Syst Comp Jpn, 35(4): 72–83, 2004; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/scj.1233