Improved 3D Surface Reconstruction via the Method of Fundamental Solutions

A new mathematical model of the modified bi-Helmholtz equation is proposed for the reconstruction of 3D implicit surfaces using the method of fundamentalsolutions. In the algorithm, we also show how to properly determine the parameterso that the spurious surface can be avoided. The main attraction of the proposedmethod is its simplicity. Four examples for the surface reconstruction are presentedto validate the proposed numerical model.