Presents a method for sfs based on model of polyhedron . we carry out the algorithm by solving a overdetermined linear equations which is constructed through the distributing of the vector field . the algorithm can reconstruct 3d surface from photometric stereo image given the direction of illumination 针对目前“从明暗恢复物体形状方法”存在的问题，提出了以多面体模型为基础的快速算法，根据向量场的分布建立关于物体表面深度信息的超定线性方程组，在最小二乘意义下求得物体表面的深度值。
