This paper suggests two novel heuristics to design maximallydecimated non-linear decompositions based on the lifting scheme. The first one dictates the desirable characteristics a non-linear operator should have in order to be able to generate good decompositions. Based on this heuristic, we introduce two non-linear operators using mathematical morphology. The second heuristic is related to the design of good non-linear decompositions using the introduced operators in a lifting scheme. Simulation results show that non-linear decompositions thus generated perform well in image coding schemes.
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