Local wavelets decomposition for 3-D surfaces

We propose a wavelet based local subdivision of 3-D surfaces, which can be effectively applied to a mesh with complex and high curvature faces. The proposed approach is an extension of M. Lounsbery's works (1994), which has been developed only for regular triangular mesh subdivision. For such a purpose, a bi-orthogonal wavelet basis is constructed by defining a local inner product and using the lifting scheme. As only one filter bank is used for the global and local analysis of the surface and also one filter bank for synthesis, this method is very effective. Through the computer simulation tested on some example mesh, we show that the proposed local subdivision is very effective.