Shape recovery using dynamic subdivision surfaces

A new dynamic subdivision surface model is proposed for shape recovery from 3D data sets. The model inherits the attractive properties of the Catmull-Clark subdivision scheme and is set in a physics-based modeling paradigm. Unlike other existing methods, our model does not require a parameterized input mesh to recover shapes of arbitrary topology, allows direct manipulation of the limit surface via application of forces and provides a fast, robust, and hierarchical approach to recover complex shapes from 3D data with very few degrees of freedom (control vertices). We provide an analytic formulation and introduce the physical quantities required to develop the dynamic subdivision surface model which can be deformed by applying forces synthesized from the data. Our experiments demonstrate that this new dynamic model has a promising future in shape recovery from volume and range data sets.