Partial Differential Equations for 3D Data Compression and Reconstruction

This paper describes a PDE-based method for 3D reconstruction of surface patches. The PDE method is exploited using data obtained from standard 3D scanners. First the original surface data are intersected by a number of cutting planes whose intersection points on the mesh are represented by Fourier transforms in each plane. Information on the number of vertices and scale of the surface are defined and, together, these efficiently define the compressed data. The PDE method is then applied at the reconstruction stage by defining PDE surface patches between the cutting planes.