Abstract: The recovery from shading (SFS) is one of the research hotspots and difficulties in 3D reconstruction of computer vision.There are two problems in the algorithm,one is that the selected reflection model does not accord with the reflection characteristic of object surface,the other is that the constraints and the solution process are too complex,the solution is slow and has low efficiency.In this paper,the SFS algorithm was analyzed in detail,the Lambert illumination model was introduced,the spherical surface was assumed,and then the height function was obtained by the approximate differential operation.The 3D shape of the object surface can be recovered by using single gray image.The traditional linearized SFS algorithm and the algorithm proposed in this paper were experimentally validated.The reconstruction precision and efficiency of the two models were compared and analyzed.Experimental results show that the proposed algorithm is more efficient than the traditional algorithm in ensuring certain accuracy.

Key words: SFS,Linear algorithm,Improved algorithm,Accuracy,Computational efficiency