Joining Meshes with a Local Approximation and a Wavelet Transform

Abstract

Constructing a smooth surface of a 3D object is an important problem in many graphics applications. Subdivision methods permit to pass easily from a discrete mesh to a continuous surface. A generic problem arising from subdividing two meshes initially connected along a common boundary is the occurrence of cracks or holes between them. Therefore, we propose a new method for joining two meshes with different resolutions using a tangent plane local approximation and a Lifted B-spline wavelet transform. This method generates a connecting mesh where continuity is controlled from one boundary to the other. This guarantees that the discrete continuity between these mesh areas is preserved and the connecting mesh can change gradually in resolution between coarse and fine areas.