A convergence criterion for a high accuracy surface modelling method

Recently, a new surface modelling method, High Accuracy Surface Modelling (HASM), is developed to give a relatively more accurate result than other classical methods. However, in the absence of a common convergence criterion, further applications of HASM have been limited. In this paper, we propose a convergence criterion for HASM which is based on the theoretical basis of it, allowing one to reliably determine a good termination point for the iterations. We then use numerical experiments and real-world applications to test the performance of this stopping criterion. Results show that the simulation accuracy is much improved and a convergence solution for HASM is obtained. In addition, for end-users, this criterion gives a quantitative indicator for the stopping rule of HASM and further makes HASM widely accepted by the general public.