A discrete shape-from-shading(SFS)algorithm based on hybrid reflectance model is proposed. The finite difference is used to approximate differential operation; the reflectance map equation described by the first order nonlinear differential equation is transformed into an algebraic equation about the unknown surface heights
and then the objective equation is constructed by the reflectance map equation and gradient information of image. Moreover
the Newton iterative algorithm is utilized to obtain the numerical solution and 3D shape of the surface. The proposed SFS algorithm is fast and effective and can recover more edges and details of objects than other same kind of methods. The experimental results of the synthesized hemisphere image show that the relative height error and CPU time of the proposed SFS are dropped by 37.2% and 20.22% respectively compared with the triangular-facet-based algorithm.
关键词
Keywords
references
Horn B K P. Height and gradient from shading [J]. Int J Computer Vision, 1990, 5(1):37-75.
Song Limei, Qu Xinghua, Xu Kexin, et al. Novel SFS-NDT in the field of defect detection [J]. International NDTE, 2005, 38(5): 381-386.
Bors A G, Hancock E R, Wilson R C. Terrain analysis using radar shape-from-shading[J]. IEEE Trans Pattern Analysis and Machine Intelligence, 2003, 25(8): 974-992.
Zhang R, Tsai P S, Cryer J E, et al. Shape from shading:a survey [J]. IEEE Trans Pattern Analysis and Machine Intelligence, 1999, 21(8): 690-706.
Lee K M, Kuo C C J. Shape from shading with a linear triangular element surface model [J]. IEEE Trans Pattern Analysis and Machine Intelligence, 1993, 15(8): 815-822.
Tagare H D, Defigueyredo R J P. A theory of photometric stereo for a class of diffuse non-Lambertian surfaces [J]. IEEE Trans Pattern Analysis and Machine Intelligence, 1991, 13(2): 133-152.
Lee K M, Kuo C C J. Shape from shading with a generalized reflectance map model[J]. Computer Vision and Image Understanding, 1997, 67(2): 143-160.
Cho S Y, Chow T W S. A new color 3D SFS methodology using neural-based color reflectance models and iterative recursive method[J]. Neural Computation, 2002, 14(11): 2751-2789.
Karacali B, Snyder W. Noise reduction in surface reconstruction from a given gradient field [J]. Int J Computer Vision, 2004, 60(1): 25-44.
Kang Gewen, Gan Chunquan, Ren Wenwei. Shape from shading based on finite-element [C]∥Proceedings of the Fourth International Conference on Machine Learning and Cybernetics. Piscataway, USA: IEEE, 2005: 5165-5169.