Abstract
In this paper we compare two methods for interpolating a triangular mesh of arbitrary topological type by a Loop subdivision surface. The first method is a conventional interpolation method that solves a linear system, while the second method is based on a geometric algorithm which iteratively updates the control mesh in a global manner based on a simple point-surface distance computation followed by translations of the control vertices along the error vectors without solving a linear system. The computational results show the superiority of the geometric algorithm over the conventional method.
