The SPHERIGON: a simple polygon patch for smoothing quickly your polygonal meshes

Smoothing techniques are essential in providing high quality rendering from polygonal objects that are described with a minimal amount of geometrical information. In order to remove the “polygonal” aspect of rough polygonal meshes, several techniques are available, such as shading or interpolation techniques. Combining the benefits of polygonal interpolation with a very simple and straightforward implementation, we present the SPHERIGION, a polygonal patch that performs very quick local interpolation of an arbitrary polygon given its vertices and vertex normals. Though not formally enforcing C1 continuity along the mesh edges, it however provides very good results in usual cases without the complexity and constraints of traditional techniques such as spline based surfaces or recursive subdivision methods