Design of non-linear multi-resolution decompositions with applications to image compression
E.S. Cardoso, Eduardo A. B. da Silva · 2002
This paper suggests two novel heuristics to design maximally-decimated non-linear decompositions based on the lifting scheme. The first one dictates the desirable characteristics a nonlinear operator should have in order to be able to generate good decompositions. Based on this heuristic, we introduce two nonlinear operators using mathematical morphology. The second heuristic is related to the design of good nonlinear decompositions using the introduced operators in a lifting scheme. Simulation results show that nonlinear decompositions thus generated perform well in image coding schemes.