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Issue No.09 - Sept. (2014 vol.36)
pp: 1816-1831
Kiyoharu Aizawa , Department of Information Science and Technology, University of Tokyo, Bunkyo, Japan
ABSTRACT
Most conventional algorithms for non-Lambertian photometric stereo can be partitioned into two categories. The first category is built upon stable outlier rejection techniques while assuming a dense Lambertian structure for the inliers, and thus performance degrades when general diffuse regions are present. The second utilizes complex reflectance representations and non-linear optimization over pixels to handle non-Lambertian surfaces, but does not explicitly account for shadows or other forms of corrupting outliers. In this paper, we present a purely pixel-wise photometric stereo method that stably and efficiently handles various non-Lambertian effects by assuming that appearances can be decomposed into a sparse, non-diffuse component (e.g., shadows, specularities, etc.) and a diffuse component represented by a monotonic function of the surface normal and lighting dot-product. This function is constructed using a piecewise linear approximation to the inverse diffuse model, leading to closed-form estimates of the surface normals and model parameters in the absence of non-diffuse corruptions. The latter are modeled as latent variables embedded within a hierarchical Bayesian model such that we may accurately compute the unknown surface normals while simultaneously separating diffuse from non-diffuse components. Extensive evaluations are performed that show state-of-the-art performance using both synthetic and real-world images.
INDEX TERMS
Lighting, Mathematical model, Bayes methods, Computational modeling, Robustness, Materials, Vectors,sparse bayesian learning, Photometric stereo, sparse regression, piecewise linear regression
CITATION
Kiyoharu Aizawa, "Photometric Stereo Using Sparse Bayesian Regression for General Diffuse Surfaces", IEEE Transactions on Pattern Analysis & Machine Intelligence, vol.36, no. 9, pp. 1816-1831, Sept. 2014, doi:10.1109/TPAMI.2014.2299798
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