Polar Embedded Catmull-Clark Subdivision Surface Anonymous submission

In this paper, a new subdivision scheme with Polar embedded Catmull-Clark mesh structure is presented. In this new subdivision scheme, the control mesh divides into two parts, quadrilateral part (CCS) and triangular part (Polar), and one can generate limit surfaces which are exactly the same as those of CCS on quad part and G 2 on triangular part. The common ripple effect surrounding high-valence extraordinary points in CCS surface is improved by replacing highvalence CCS extraordinary faces with triangular Polar faces. The new scheme is valence independent and stationary. By using the same subdivision masks on both CCS part and Polar part, the artifact of earlier researches (mismatch of subdivision masks, exponential subfaces at n th subdivision level) is resolved. Test results show that, with the new scheme, one can generate very high quality, curvature continuous subdivision surfaces on the Polar part. Together with current available CCS G 2 schemes, one can generate high quality subdivision surfaces appropriate for most engineering applications