Fitting and filling of 3D datasets with volume constraints using radial basis functions under tension

Given a dataset of 3D points in which there is hole , i.e., region with lack information, we develop method providing surface that fits the and fills hole. The filling patch required to fulfill prescribed volume condition. fitting-filling function consists radial basis functions minimizes an energy functional involving both, fitting constraint patch, as well fairness function. We give convergence result present some graphical numerical examples.