Photometric stereo under unknown light sources using robust SVD with missing data

In this paper, we propose a novel photometric stereo method that uses singular value decomposition. Singular value decomposition can solve the photometric stereo problem when the light source direction is unknown; however, it has the critical problem of being sensitive to outliers. We therefore propose a novel singular value decomposition method that is robust to outliers. We also show some results of our photometric stereo method when applied to objects that involve not only diffuse reflection but also specular reflection.

[1]  Ronen Basri,et al.  Dense shape reconstruction of a moving object under arbitrary, unknown lighting , 2003, Proceedings Ninth IEEE International Conference on Computer Vision.

[2]  Harry Shum,et al.  Principal Component Analysis with Missing Data and Its Application to Polyhedral Object Modeling , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[3]  Hideki Hayakawa.  Photometric stereo under a light source with arbitrary motion , 1994 .

[4]  Byungil Kim,et al.  Depth and shape from shading using the photometric stereo method , 1991, CVGIP Image Underst..

[5]  Takahiro Okabe,et al.  Shape Reconstruction Based on Similarity in Radiance Changes under Varying Illumination , 2007, 2007 IEEE 11th International Conference on Computer Vision.

[6]  Martin Jägersand,et al.  Variational Shape and Reflectance Estimation Under Changing Light and Viewpoints , 2006, ECCV.

[7]  Vladimir Kolmogorov,et al.  An experimental comparison of min-cut/max- flow algorithms for energy minimization in vision , 2001, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[8]  Li Zhang,et al.  Shape and motion under varying illumination , 2003, IEEE International Conference on Computer Vision.

[9]  Takeshi Shakunaga,et al.  Analysis of photometric factors based on photometric linearization. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[10]  Takeo Kanade,et al.  Shape and motion from image streams under orthography: a factorization method , 1992, International Journal of Computer Vision.

[11]  Athinodoros S. Georghiades,et al.  Incorporating the Torrance and Sparrow model of reflectance in uncalibrated photometric stereo , 2003, Proceedings Ninth IEEE International Conference on Computer Vision.

[12]  Ronen Basri,et al.  Photometric stereo with general, unknown lighting , 2001, Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001.

[13]  Daniel Snow,et al.  Determining Generative Models of Objects Under Varying Illumination: Shape and Albedo from Multiple Images Using SVD and Integrability , 1999, International Journal of Computer Vision.

[14]  Matthew Brand,et al.  Incremental Singular Value Decomposition of Uncertain Data with Missing Values , 2002, ECCV.

[15]  R. Woodham,et al.  Photometric Stereo: Lambertian Reflectance and Light Sources with Unknown Direction and Strength , 1991 .

[16]  David J. Kriegman,et al.  The Bas-Relief Ambiguity , 2004, International Journal of Computer Vision.