Parallel Feature-Preserving Mesh Smoothing

We present a parallel approach for optimizing surface meshes by redistributing vertices on a feature-aware higher-order reconstruction of a triangulated surface. Our method is based on a novel extension of the fundamental quadric, called the medial quadric. This quadric helps solve some basic geometric problems, including detection of ridges and corners, computation of one-sided normals along ridges, and construction of higher-order approximations of triangulated surfaces. Our new techniques are easy to parallelize and hence are particularly beneficial for large-scale applications.