Elevation angle from reflectance monotonicity: photometric stereo for general isotropic reflectances

Authors:
Boxin Shi;Ping Tan;Yasuyuki Matsushita;Katsushi Ikeuchi
Affiliations:
The University of Tokyo, Japan;National University of Singapore, Singapore;Microsoft Research Asia, China;The University of Tokyo, Japan
Venue:
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part III
Year:
2012

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Abstract

This paper exploits the monotonicity of general isotropic reflectances for estimating elevation angles of surface normal given the azimuth angles. With an assumption that the reflectance includes at least one lobe that is a monotonic function of the angle between the surface normal and half-vector (bisector of lighting and viewing directions), we prove that elevation angles can be uniquely determined when the surface is observed under varying directional lights densely and uniformly distributed over the hemisphere. We evaluate our method by experiments using synthetic and real data to show its wide applicability, even when the assumption does not strictly hold. By combining an existing method for azimuth angle estimation, our method derives complete surface normal estimates for general isotropic reflectances.