PDE-driven implicit reconstruction of 3D object

This paper presents a PDE driven method for implicit reconstruction of 3D object from point cloud. We represent a shape by its signed distance function and formulate shape reconstruction as a constrained energy minimization problem directly based on the point cloud. First, we calculate the signed of distance of point cloud by fast sweeping. Then, we get evolution equation of deformable surface by minimizing the energy function of surface. Finally, we give numerical solution of this evolution equation. The deformable surface can automatically adapt the topology of object. The experimental results show that the deformable surface can continually shrink to the surface of object.