Generalizing lifted Tensor-Product Wavelets to Irregular Polygonal Domains
We present a new construction approach for symmetric lifted B-spline wavelets on irregular polygonal control meshes defining two-manifold topolgies. Polygonal control meshes are recursively refined by stationary subdivion rules and converge to piecewise polynomaial limit surfaces. At every subdivision level, our wavelet transforms provide an efficient way to add geometric details that are expanded from wavelet coefficients. Both wavelet decomposition and reconstruction operations are based on local lifting steps and have linear-time complexity.