Diffeomorphic Reconstruction Of A 2D Simple Non Parametric Manifold From Level Set Data Via Shape Gradients

A variational approach to the reconstruction of a shape (2D simple manifolds) as triangulated surface from given level set using shape gradients is presented. It involves an energy functional that depends on the local shape characteristics of the surface. Minimization of the energy through an iterative procedure using the gradient descent method yields a triangulated surface mesh which matches the boundary of the object of interest and this model ensures the smoothness of the boundary.