"Reflectance Scanning: Estimating Shading Frame and BRDF with Generalized Linear Light Sources"
Guojun Chen, Yue Dong, Pieter Peers, Jiawan Zhang, and Xin Tong

ACM Transactions on Graphics, Volume 33, Issue 4, Article 117, August 2014
We present a generalized linear light source solution to estimate both the local shading frame and anisotropic surface reflectance of a planar spatially varying material sample.

We generalize linear light source reflectometry by modulating the intensity along the linear light source, and show that a constant and two sinusoidal lighting patterns are sufficient for estimating the local shading frame and anisotropic surface reflectance. We propose a novel reconstruction algorithm based on the key observation that after factoring out the tangent rotation, the anisotropic surface reflectance lies in a low rank subspace. We exploit the differences in tangent rotation between surface points to infer the low rank subspace and fit each surface point's reflectance function in the projected low rank subspace to the observations. We propose two prototype acquisition devices for capturing surface reflectance that differ on whether the camera is fixed with respect to the linear light source or fixed with respect to the material sample.

We demonstrate convincing results obtained from reflectance scans of surfaces with different reflectance and shading frame variations.

Supplementary Material
author = {Chen, Guojun and Dong, Yue and Peers, Pieter and Zhang, Jiawan and Tong, Xin},
title = {Reflectance Scanning: Estimating Shading Frame and {BRDF} with Generalized Linear Light Sources},
month = {August},
year = {2014},
articleno = {117},
journal = {ACM Transactions on Graphics},
volume = {33},
number = {4},
doi = {http://doi.acm.org/10.1145/2601097.2601180},