biorthogonal \(\sqrt 3\)-refinement wavelet
surface multiresolution decomposition/reconstruction
Biorthogonal wavelets with six-fold axial symmetry for hexagonal data and triangle surface multiresolution processing
The construction of six-fold axial symmetric biorthogonal filter banks and the associated wavelets, with both the dyadic and the \(\sqrt 3\)-refinements, are studied. By associating the outputs (after one-level multiresolution decomposition) appropriately with the nodes of the regular triangular mesh with which the input data is associated (sampled), the author represents multiresolution analysis and synthesis algorithms as templates for surface processing. The relationship between the algorithms based on the biorthogonal loop-subdivision wavelets and the six-fold symmetric filter banks is also presented.
scientific article; zbMATH DE number 6045596