A Computational Theory of 3d Shape Reconstruction from Image Contours

The computational theory of 3D shape reconstruction from image contours proposed in this paper is based on the variational principles and has the theoretical framework suggested recently by Poggio [8] . By this theory. 3D shapes can be reconstructed from image contours by general physical constraint assumptions. namely the assumptions of minimum potential energy, isotropism and homogeneity of the material. and properly defined energy functionals. It is assumed that contours have been classified as surface discontinuity boundary contours. surface contours and extremal boundaries. Minimization of the energy functionals tends to maximize the symmetry and orthogonalize the surface junctions of the reconstructed object. Some early findings are obtained as the natural results of the theory. Theoretical developments and experimental results are successful and promising.