Fitting Smooth Subdivision Surfaces With Normal Control

We introduce a new algorithm for fitting a subdivision surface to a given shape within a prescribed tolerance. In an interactive environment the smooth mesh points can be migrated to the implicit surface, in idle moments when the user is not interacting with the model. To solve the mesh optimization problem that captures the competing desires of tight geometric fit and compact representation. We demonstrate that displaced subdivision surfaces offer a number of benefits, including geometry compression, editing, animation, scalability, and adaptive rendering.