An Improved Shape from Shading Algorithm

We propose an improved shape from shading (SFS) algorithm which is an extension of the recently published algorithm by Zheng and Chellappa 13]. A markedly more accurate estimate of the azimuth of the illumination source is presented. Depth reconstruction has been improved upon by using a new set of boundary conditions and adapting a more sophisticated technique for hierarchical implementation of the SFS algorithm. Errors at the boundaries of images and in rotation of the reconstructed images have been corrected. Typical results on synthetic and real images are presented.

[1]  Berthold K. P. Horn,et al.  Hill shading and the reflectance map , 1981, Proceedings of the IEEE.

[2]  Berthold K. P. Horn.  SHAPE FROM SHADING: A METHOD FOR OBTAINING THE SHAPE OF A SMOOTH OPAQUE OBJECT FROM ONE VIEW , 1970 .

[3]  Rama Chellappa,et al.  Estimation of illuminant direction, albedo, and shape from shading , 1991, Proceedings. 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[4]  Michael J. Brooks,et al.  The variational approach to shape from shading , 1986, Comput. Vis. Graph. Image Process..

[5]  Katsushi Ikeuchi,et al.  Numerical Shape from Shading and Occluding Boundaries , 1981, Artif. Intell..

[6]  Shmuel Peleg,et al.  Nonlinear Multiresolution: A Shape-From-Shading Example , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[7]  Rama Chellappa,et al.  New algorithms from reconstruction of a 3-D depth map from one or more images , 1988, Proceedings CVPR '88: The Computer Society Conference on Computer Vision and Pattern Recognition.

[8]  Rama Chellappa,et al.  A Method for Enforcing Integrability in Shape from Shading Algorithms , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  Azriel Rosenfeld,et al.  Improved Methods of Estimating Shape from Shading Using the Light Source Coordinate System , 1985, Artif. Intell..

[10]  Berthold K. P. Horn.  Height and gradient from shading , 1989, International Journal of Computer Vision.

[11]  Rama Chellappa,et al.  Direct Analytical Methods for Solving Poisson Equations in Computer Vision Problems , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[12]  Michael J. Brooks,et al.  Shape and Source from Shading , 1985, IJCAI.