Shape from Shading with a Generalized Reflectance Map Model

Computer Vision and Image Understanding

Volumn 67, Issue 2, 1997, Pages 143-160

  Lee, Kyoung Mu ^a   Kuo, C C Jay ^b  

^a Hong Ik University   (South Korea)

^b University of Southern California ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; EDGE DETECTION; FINITE ELEMENT METHOD; NONLINEAR EQUATIONS;

SHAPE FROM SHADING (SFS) MODELS;

FEATURE EXTRACTION;

EID: 0031211407     PISSN: 10773142     EISSN: None     Source Type: Journal    
DOI: 10.1006/cviu.1997.0522     Document Type: Article

References (44)

1. E. N. Coleman Jr. and R. C. Jain, Obtaining 3-dimensional shape of textured and specular surface using four-source photometry, Comput. Graphics Image Process. 18, 1982, 309-328.
2. P. Dupuis and J. Oliensis, Direct method for reconstructing shape from shading, in IEEE Conference on Computer Vision and Pattern Recognition, Champaign, IL, June 1992. pp. 453-458.
3. W. Hackbusch, Multi-Grid Methods and Applications, Springer-Verlag, Berlin, 1985.
4. R. M. Haralick and L. G. Shapiro, Computer and Robot Vision, Addison-Wesley, Reading, MA, 1992.
5. G. Healey and T. O. Binford, Local shape from specularity, Computer Vision, Graphics, and Image Processing 42, 1988, 62-86.
6. B. K. P. Horn, Obtaining Shape from Shading Information, MIT Press, Cambridge, MA, 1975.
7. B. K. P. Horn, Understanding image intensities, Artif. Intell. 8, No. 2, 1977, 201-231.
8. B. K. P. Horn, "Height and gradient from shading," International Journal of Computer Vision 5, 1990. 584-595.
9. B. K. P. Horn and R. W. Sjoberg, Calculating the reflectance map, App. Opt. 18, 1979, 1770-1779; in Shape from Shading (B. K. P. Horn and M. J. Brooks, Eds.), MIT Press, Cambridge, MA, 1989.
10. B. K. P. Horn and R. W. Sjoberg, Calculating the reflectance map, App. Opt. 18, 1979, 1770-1779; in Shape from Shading (B. K. P. Horn and M. J. Brooks, Eds.), MIT Press, Cambridge, MA, 1989.
11. K. Ikeuchi, Determining surface orientations of specular surfaces by using the photometric stereo method, IEEE Trans. Pattern Anal. Mach. Intell. PAMI-3, No. 6, 1981, 661-669.
12. K. Ikeuchi and B. K. P. Horn, "Numerical shape from shading and occluding boundaries," Artificial Intelligence 17, 1981, 141-184; in Shape from Shading, B. K. P. Horn and M. J. Brooks (eds.) 1989, MIT Press, Cambridge, MA.
13. K. Ikeuchi and B. K. P. Horn, "Numerical shape from shading and occluding boundaries," Artificial Intelligence 17, 1981, 141-184; in Shape from Shading, B. K. P. Horn and M. J. Brooks (eds.) 1989, MIT Press, Cambridge, MA.
14. K. Ikeuchi and K. Sato, Determining reflectance properties of an object using range and brightness images, IEEE Trans. Pattern Analysis and Machine Intelligence 13, No. 11, 1991, 1139-1153.
15. B. Kim and P. Burger, Depth and shape from shading using the photometric stereo method, Comput. Vision Graphics Image Process. Image Understanding 54, No. 3, 1991, 416-427.
16. R. Kozera, Existence and uniqueness in photometric stereo, I, Appl. Math. Comput. 44, 1991, 1-103.
17. Y. G. Leclerc and A. F. Bobick, The direct computation of height from shading, in IEEE Conference on Computer Vision and Pattern Recognition, Hawaii, May 1991, 552-558.
18. C. H. Lee and A. Rosenfeld, Improved methods of estimating shape from shading using light source coordinate system, Artificial Intelligence 26, 1985; 125-143. Also in Shape from Shading, B. K. P. Horn and M. J. Brooks (eds.) 1989, MIT Press, Cambridge, MA.
19. C. H. Lee and A. Rosenfeld, Improved methods of estimating shape from shading using light source coordinate system, Artificial Intelligence 26, 1985; 125-143. Also in Shape from Shading, B. K. P. Horn and M. J. Brooks (eds.) 1989, MIT Press, Cambridge, MA.
20. K. M. Lee and C.-C. J. Kuo, Shape from shading with a linear triangular element surface model, IEEE Trans. Pattern Analysis and Machine Intelligence 15, 1993, 815-822.
21. K. M. Lee and C.-C. J. Kuo, Surface reconstruction from photometric stereo images, Journal of Optical Society of America: A 10, 1993, 855-868.
22. K. M. Lee and C.-C. J. Kuo, Shape from shading with perspective projection, Computer Vision, Graphics, Image Processing: Image Understanding, 59, 1994.
23. S. K. Nayar, K. Ikeuchi, and T. Kanade, Determining shape and reflectance of hybrid surfaces by photometric sampling, IEEE Trans. Robotics and Automation 6, 1990, 418-431.
24. S. K. Nayar, K. Ikeuchi, and T. Kanada, Surface reflection: physical and geometricl perspectives, IEEE Trans. Pattern Analysis and Machine Intelligence 13, 1991, 611-634.
25. S. K. Nayar and M. Oren, Visual Appearance of Matte Surfaces, Science 267, No. 5201, 1995, 1153-1156.
26. F. E. Nicodemus, J. C. Richmond, J. J. Hsia, and I. W. Ginsberg, Geometrical Considerations and Nomenclature for Reflectance, Boulder CO: National Bureau of Standards, 1977.
27. J. Oliensis, Shape from Shading as a Partially Well-Constrained Problem, Computer Vision, Graphics, and Image Processing: Image Understanding 54, No. 2, 1991, 163-183.
28. M. Oren and S. K. Nayar, Diffuse Reflectance from Rough Surfaces, in IEEE Conference on Computer Vision and Pattern Recognition, 1993, pp. 290-295.
29. M. Oren and S. K. Nayar, Generalization of Lambert's reflection model, in Proc. of ACM SIGGRAPH, Orlando, Florida, July 1994.
30. M. Oren and S. K. Nayar, Generalization of the Lambertian model and implication for machine vision, International Journal of Computer Vision 14, No. 3, 1995, 227-251.
31. M. A. Penna, Local and semi-local shape from shading for a single perspective image of a smooth object, Computer Vision, Graphics, and Image Processing 46, 1989, 346-366.
32. M. A. Penna, A shape from shading analysis for a single perspective image of a polyhedron, IEEE Trans. Pattern Analysis and Machine Intelligence PAMI-11, 1989, 545-554.
33. A. P. Pentland, Shape information from shading: a theory about human perception, in Proc. of International Conf. on Computer Vision 1988, 404-413.
34. R. Szeliski, Fast surface interpolation using hierarchical basis functions, IEEE Trans. Pattern Analysis and Machine Intelligence 12, No. 6, 1990, 513-528.
35. R. Szeliski, Fast shape from shading Computer Vision, Graphics, Image Processing: Image Understanding 53, No. 2, 1991, 129-153.
36. H. D. Tagare and R. J. P. DeFigueiredo, A theory of photometric stereo for a class of diffuse non-Lambertian surface, IEEE Trans. Pattern Analysis and Machine Intelligence 13, No. 2, 1991, 133-152.
37. K. E. Torrance and E. M. Sparrow, Theory for off-specular reflection from roughened surfaces, Journal of Optical Society of America 57, No. 9, 1967, 1105-1114.
38. P. S. Tsai and M. Shah, A fast linear shape from shading, in IEEE Conference on Computer Vision and Pattern Recognition, Champaign, Illinois, June 1992, pp. 734-736.
39. P. S. Tsai and M. Shah, A Simple Shape from Shading Algorithm, Tech. Rep. CS-TR-92-24, CS Dept., Univ. of Central Florida, 1992.
40. L. B. Wolff, Diffuse-reflectance model for smooth dielectric surface, Journal of Optical Society of America: A 11, 1994, 2956-2968.
41. L. B. Wolff, On the relative brightness of specular and diffuse reflection, in IEEE Conference on Computer Vision and Pattern Recognition, 1994, pp. 369-376.
42. R. J. Woodham, Analyzing images of curved surfaces, Artificial Intelligence 17, No. 1-3, 1981, 117-140.
43. R. Zhang, P. S. Tsai, J. E. Cryer, and M. Shad, Analysis of Shape from Shading Techniques, in IEEE Conference on Computer Vision and Pattern Recognition, 1994, pp. 377-384.
44. Q. Zheng and R. Chellappa, Estimation of illumination direction, albedo, and shape from shading, IEEE Trans. Pattern Analysis and Machine Intelligence 13, No. 7, 1991, 680-702.