EMD based fairing algorithm for mesh surface

A novel algorithm for mesh surface fairing based on empirical mode decomposition (EMD) is presented. To expand the EMD method to high-dimensional, spherical surface signal processing based on EMD is implemented. For mesh surface, parameterize the mesh to spherical surface, and build the mapping between original mesh and spherical mesh firstly. Then resample the spherical mesh and decompose the resample spherical signals by EMD method. Finally, remove the high-frequency component of spherical signals and inverse mapping the processed spherical signal back to the original mesh. So the smoothed mesh surface is obtained. Experiments show that the EMD based analysis method for mesh surface fairing can obtain good results, and geometric features of original mesh has been maintained.