Manifold-based approach to semi-regular remeshing

This paper describes a method for semi-regular remeshing of arbitrary shapes. The proposed approach is based on building a parameterization map which is smooth with respect to a differential structure built on the base domain. A global parametric energy functional is introduced and optimized in order to establish a globally smooth parameterization. The proposed approach avoids using meta-mesh construction during the parameterization and resampling stages which allows for an easier implementation. A simple extension of the method is proposed to improve the approximation properties of the resulting remesh.