The geometry of reflectance symmetries

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 33, Issue 12, 2011, Pages 2506-2520

  Tan, Ping ^a   Quan, Long ^b   Zickler, Todd ^c  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^c HARVARD UNIVERSITY   (United States)

Author keywords

autocalibrationx; photometric stereo; projective geometry; Reflectance symmetry

Indexed keywords

AUTOCALIBRATIONX; COMMON MATERIALS; COMPUTATIONAL TOOLS; GAUSSIAN SPHERE; GEOMETRIC STRUCTURE; LIGHTING CONDITIONS; PHOTOMETRIC STEREO; PROJECTIVE GEOMETRY; PROJECTIVE PLANES; SURFACE POINTS; SURFACE SHAPE; VISION SYSTEMS;

BEHAVIORAL RESEARCH; COMPUTATIONAL GEOMETRY; LIGHTING; PHOTOMETRY; SPHERES;

REFLECTION;

EID: 80054930734     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.2011.35     Document Type: Article

References (37)

1. B.T. Phong, "Illumination for Computer Generated Pictures," Comm. ACM, vol. 18, no. 6, pp. 311-317, June 1975.
2. S. Shafer, "Using Color to Separate Reflection Components," Color Research and Application, vol. 10, no. 4, pp. 210-218, 1985. (Pubitemid 16520383)
3. H. von Helmholtz, Treatise on Physiological Optics, vol. 1. Dover, 1925.
4. J. Lu and J. Little, "Reflectance and Shape from Images Using a Collinear Light Source," Int'l J. Computer Vision, vol. 32, no. 3, pp. 1-28, 1999.
5. T. Zickler, P. Belhumeur, and D. Kriegman, "Helmholtz Stereopsis: Exploiting Reciprocity for Surface Reconstruction," Int'l J. Computer Vision, vol. 49, nos. 2/3, pp. 215-227, Sept. 2002. (Pubitemid 35262712)
6. N. Alldrin and D. Kriegman, "Toward Reconstructing Surfaces with Arbitrary Isotropic Reflectance: A Stratified Photometric Stereo Approach," Proc. IEEE Conf. Computer Vision and Pattern Recognition, 2007.
7. P.N. Belhumeur, D.J. Kriegman, and A.L. Yuille, "The Bas-Relief Ambiguity," Int'l J. Computer Vision, vol. 35, no. 1, pp. 33-44, 1999.
8. F.E. Nicodemus, J.C. Richmond, J.J. Hsia, I.W. Ginsberg, and T. Limperis, "Geometric Considerations and Nomenclature for Reflectance," Nat'l Bureau of Standards (US), Monograph 161, Oct. 1977.
9. S.R. Marschner, "Inverse Rendering for Computer Graphics," PhD dissertation, Cornell Univ., 1998.
10. J. Lu and J. Little, "Reflectance and Shape from Images Using a Collinear Light Source," Int'l J. Computer Vision, vol. 32, no. 3, pp. 213-240, 1999.
11. P. Tan, S.P. Mallick, L. Quan, D. Kriegman, and T. Zickler, "Isotropy, Reciprocity and the Generalized Bas-Relief Ambiguity," Proc. IEEE Conf. Computer Vision and Pattern Recognition, 2007.
12. T. Zickler, P. Belhumeur, and D. Kriegman, "Helmholtz Stereopsis: Exploiting Reciprocity for Surface Reconstruction," Proc. European Conf. Computer Vision, 2002.
13. E.P.F. Lafortune, S.-C. Foo, K.E. Torrance, and D.P. Greenberg, "Non-Linear Approximation of Reflectance Functions," Proc. ACM SIGGRAPH '97, pp. 117-126, 1997.
14. G. Ward, "Measuring and Modeling Anisotropic Reflection," ACM SIGGRAPH Computer Graphics, vol. 26, no. 2, pp. 265-273, 1992.
15. R.L. Cook and K.E. Torrance, "A Reflection Model for Computer Graphics," ACM Trans. Graphics, vol. 1, no. 1, pp. 7-24, Jan. 1982.
16. A. Ngan, F. Durand, and W. Matusik, "Experimental Analysis of BRDF Models," Proc. Eurographics Symp. Rendering, pp. 117-126, 2005.
17. M. Stark, J. Arvo, and B. Smits, "Barycentric Parameterizations for Isotropic BRDFs," IEEE Trans. Visualization and Computer Graphics, vol. 11, no. 2, pp. 126-138, Mar./Apr. 2005. (Pubitemid 40320202)
18. S. Rusinkiewicz, "A New Change of Variables for Efficient BRDF Representation," Proc. Eurographics Rendering Workshop, vol. 98, pp. 11-22, 1998.
19. P. Tan and T. Zickler, "A Projective Framework for Radiometric Image Analysis," Proc. IEEE Conf. Computer Vision and Pattern Recognition, 2009.
20. R. Woodham, "Photometric Stereo: A Reflectance Map Technique for Determining Surface Orientation from Image Intensities," Proc. SPIE 22nd Ann. Technical Symp., pp. 136-143, 1978. (Pubitemid 11461181)
21. K. Hayakawa, "Photometric Stereo under a Light Source with Arbitrary Motion," J. Optical Soc. Am., vol. 11, no. 11, pp. 3079-3089, 1994.
22. A. Yuille and D. Snow, "Shape and Albedo from Multiple Images Using Integrability," Proc. IEEE Conf. Computer Vision and Pattern Recognition, 1997.
23. O. Drbohlav and R. Sara, "Specularities Reduce Ambiguity of Uncalibrated Photometric Stereo," Proc. Europeam Conf. Computer Vision, vol. 2, pp. 46-60, 2002.
24. O. Drbohlav and M. Chantler, "Can Two Specular Pixels Calibrate Photometric Stereo?" Proc. 10th IEEE Int'l Conf. Computer Vision, vol. 2, pp. 1850-1857, 2005. (Pubitemid 44042401)
25. A. Georghiades, "Incorporating the Torrance and Sparrow Model of Reflectance in Uncalibrated Photometric Stereo," Proc. IEEE Int'l Conf. Computer Vision, pp. 816-823, 2003.
26. K. Ikeuchi, "Determining Surface Orientations of Specular Surfaces by Using the Photometric Stereo Method," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 3, no. 6, pp. 661-669, Nov. 1981. (Pubitemid 12456397)
27. S. Nayar, K. Ikeuchi, and T. Kanade, "Determining Shape and Reflectance of Hybrid Surfaces by Photometric Sampling," IEEE Trans. Robotics and Automation, vol. 6, no. 4, pp. 418-431, Aug. 1990.
28. H.D. Tagare and R.J.P. deFigueiredo, "A Theory of Photometric Stereo for a Class of Diffuse Non-Lambertian Surfaces," IEEE Trans. Pattern Recognition and Machine Intelligence, vol. 13, no. 2, pp. 133-152, Feb. 1991.
29. D. Goldman, B. Curless, A. Hertzmann, and S. Seitz, "Shape and Spatially-Varying BRDFs from Photometric Stereo," Proc. IEEE Int'l Conf. Computer Vision, 2005.
30. P. Tan, S. Lin, and L. Quan, "Resolution-Enhanced Photometric Stereo," Proc. European Conf. Computer Vision, 2006.
31. H.S.M. Coxeter, The Real Projective Plane, third ed. Springer-Verlag, 1993.
32. T. Zickler, P. Belhumeur, and D. Kriegman, "Toward a Stratification of Helmholtz Stereopsis," Proc. IEEE Conf. Computer Vision and Pattern Recognition, vol. 1, pp. 548-555, 2003.
33. N. Joshi and D. Kriegman, "Shape from Varying Illumination and Viewpoint," Proc. IEEE Int'l Conf. Computer Vision, 2007.
34. Y. Sato and K. Ikeuchi, "Temporal-Color Space Analysis of Reflection," J. Optical Soc. Am. A, vol. 11, no. 11, pp. 2990-3002, Nov. 1994.
35. N. Alldrin, T. Zickler, and D. Kriegman, "Photometric Stereo with Non-Parametric and Spatially-Varying Reflectance," Proc. IEEE Conf. Computer Vision and Pattern Recognition, 2008.
36. J. Koenderink, A. Doorn, A. Kappers, and J. Todd, "Ambiguity and the 'Mental Eye' in Pictorial Relief," Perception, vol. 30, pp. 431-448, 2001. (Pubitemid 33597944)
37. F. Romeiro, Y. Vasilyev, and T. Zickler, "Passive Reflectometry," Proc. 10th European Conf. Computer Vision, 2008.