1995 Volume 1995 Pages 77-82
This paper examines simultaneous contour matching for an object with facets, which are closed sets in subspaces of 3-D space, by approximating an optical flow.
First, the object's shape is described by using facets within a framework of manifold. However here the relationship between only two facets is considered. Second, an algorithm for 3-D object shape contour matching is derived by using a diffusion field under the condition. Third, a mathematical model of the diffusion field is formulated by the stochastic evolution equality in Hilbert space. The existence and uniqueness of the solution to the diffusion field equations are studied. Fourth, a cost function is proposed and the convergence of the algorithm is demonstrated. Finally, the structure of the optical flow is shown by deriving the vector field matrix, when the relationship between two facets is considered.
