Solving the perspective Shape from Shading problem using a new integration method

Among the techniques that allow a 3D Reconstruction of an object or a scene from a single image, we find the Shape from Shading methods. Those methods can be classified into two categories, the local methods of resolution in which the calculations are done using each pixel and its neighbors and the methods of global resolution that use all pixels of the image at the same time In this paper a local method has been proposed to solve the Shape From Shading problem. Our method is done following two steps: the generation of the normal field (the needle map) then the integration of the needle map for the scene reconstruction. The generation of the normal field is based on a method proposed by Li Jin [14], then we propose a new algorithm for the integration of the normal field generated on an image which is captured by a perspective camera. In our method each pixel is represented by a little lozenge (on the surface plane) oriented by the normal vector and the neighbors of this pixel. The lozenge will be bordered by four perspective lines. The method is tested on some synthetic and real images.