Several recently developed techniques for recons- truction surface shape from shading information estimate surface slopes with out ensuring that they integrable. This paper presents a new approach for estimating the shape of three dimension 3-D obje- ct from its two dimension 2-D shade image in ter-ms of a approximating the height map by a second order trigonometric polynomial. The proposed approach satisfies the integrability condition and does not need any boundary condition assumptio-ns, we have designed a stand-alone, flexible Matlab implementation that enables to evaluation the proposed approach. The experiments on real images show the approaches ability to reconstruc-tion the surface from SFS.

Keywords:  Computer vision, shape from shading, trigonometric polynomial approximate,  gray scale, integrability.