Mesh connection with RBF local interpolation and wavelet transform

Abstract

We introduce a connection method between two mesh areas at different resolutions. The connecting mesh is based on a local interpolation with radial basis functions and a Lifted B-spline wavelet transform. This ensures that the "continuity" between these mesh areas is preserved and the connecting mesh is changed gradually in resolution between coarse and fine areas. This method could be extented to applications related to filling holes, pasting subdivision meshes and joining 3D objects.