Modeling form implicit surfaces defined by multi-mesh skeletons

A refinement approach is proposed to triangulate implicit surfaces based on mesh skeletons. Two ways are designed to adaptively polygonize an implicit surface defined by a single skeleton via splitting triangular facets and facet edges of the skeleton mesh respectively. For multi-skeleton implicit surfaces (MSIS), some potions of the polygonization of each single skeleton implicit surface (SSIS) can be preserved due to the local property of the influence regions of the single skeleton distance fields. The mesh consisting of preserved facets can grow starting from its boundary until a closed mesh is obtained and the polygonization for the MSIS is also completed. The influence region of each SSIS can be estimated from its skeleton and influence radius. The approach reduces calculation for solving a complex equation and fewer triangular facets are needed to approximate an implicit surface with specified accuracy.