A Scheme of Combined Quad/Triangle Subdivision Surface

Subdivision has become a staple of the geometric modeling community allowing coarse, polygonal shapes to represent highly refined, smooth shapes with guaranteed continuity properties. Unlike regular surface spines, such as NURBS, subdivision surface can handle shapes of arbitrary topology in a unified framework which is important in designing aesthetically pleasing shapes. This study presents a scheme of combined quad/triangle subdivision surface that has many important features resulting it s superiority over some other existing methods like individual triangle or individual quadrilateral subdivision schemes. In general, the scheme produces nicer surface for combined quad/triangle meshes.