A Survey of Research Work on Shape from Shading
Abstract: The reconstruction for 3D surface shape of object is one of the main goals in the field of computer vision. It needs to complete a mapping from 2D image to 3D world. Shape from shading (SFS for short) is one of the main meth-ods for this goal. This paper gives a comprehensive summary on related research work based on the description of the SFS problem, then their characteristics and shortcomings are analyzed; at last, further research directions are suggested.
文章引用: 邵晓芳 , 蔡明娟 (2013) 阴影恢复形状技术研究进展。 人工智能与机器人研究， 2， 48-53. doi: 10.12677/AIRR.2013.21008
 B. K. P. Horn, M. J. Brooks. Shape from shading. Cambridge: MIT Press, 1989.
 王怀颖. 细胞神经网络在图像处理中的应用技术研究[D]. 南京航空航天大学, 2007.
 O. Vogel, M. Breuß and J. Weickert. Perspective shape from shading with non-Lambertian reflec-tance. Proceedings of the 30th DAGM symposium on Pattern Recogni-tion, 2008: 517-526.
 Q. H. Zhu, J. B. Shi. Shape from shading: Recognizing the mountains through a global view. Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2006, 1: 1-8.
 蔻镇淳. 从明暗恢复形状的有理样条方法[D]. 大连理工大学, 2005.
 K. M. Lee, C. C. J. Kuo. Shape from shading with a linear triangular element surface model. IEEE Transaction on Pattern Analysis and Machine Intelligence, 1993, 15(8): 815-822.
 C. H. Lee, A. Rosenfeld. Improved methods of estimating shape from shading using the light source coordinate system. Artificial Intelligence, 1985, 26: 125-143.
 J. Oliensis. Shape from shading as a partially well-constrained problem. Computer Vision, Graphics, and Image Processing: Image Understanding, 1991, 54: 163-183.
 J. Malik, D. Maydan. Recovering three dimensional shape from a single image of curved objects. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1989, 11: 213-224.
 V. S. Ramachandran Perceiving shape from shading. Scientific American, 1988, 159: 76-83.
 M. Ben-Ezra, S. K. Nayar. What does motion reveal about trans- parency. Proceedings of the 9th IEEE International Conference on Computer Vision, IEEE Computer Society, 2003, 1: 1025- 1028.
 H. Ragheb, E. R. Hancock. A probabilistic frame-work for spe- cular shape-from-shading. International Conference on Pattern Recognition, 2002, 3: 513-516.
 Q. Zheng, R. Chellappa. Estimation of illuminant direction, albedo, and shape from shading. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1991, 13(7): 680-702.
 R. White，D. A. Forsyth. Combining cues: Shape from shading and texture. Computer Vision and Pattern Recognition, 2006, 2: 1809-1816.
 O. Vogel, L. Valgaerts, M. Breuß and J. Weickert. Making shape from shading work for real-world images. DAGM-Symposium, 2009: 191-200.
 A. Pentland. Shape infor-mation from shading: A theory about human perception. Proceedings of International Conference on Computer Vision, 1988, 1: 404-413.
 P. S. Tsai, M. Shah. Shape from shading using linear approxi- mation. Image and Vision Computing Journal, 1994, 12(8): 487- 498.
 E. Rouy, A. Tourin. A viscosity solutions approach to shape from shading. SIAM Journal on Numerical Analysis, 1992, 29(3): 867-884.
 M. Bichsel, A. P. Pentland. A simple algorithm for shape from shading. IEEE Proceedings of Computer Vision and Pattern Re- cognition, 1992, 1: 459-465.
 R. Kimmel, A. M. Bruckstein. Shape from shading via level sets. Israel Institute of Technology, CIS Report 9209, 1992.
 J. Oliensis, P. Dupuis. A global algorithm for shape from shading. Proceedings of International Conference on Computer Vision, 1993, 1: 692-701.