Abstract
In this paper, we present a method to generate a constant mean curvature (CMC) surface with the given boundary. By assuming the velocity to zero in the dynamic model for every step, a fixed-point iteration is carried out. Either the variation of Dirichlet energy or area energy can be chosen to be the approximation of the mean curvature. Experiments and results show that our method can work for minimal surfaces or CMC surfaces with nonzero mean curvature and with fixed or free boundary. Meanwhile it is robust with poor quality initial mesh as well as non-uniformly distributed vertices.