A New Two-imensional Signal Decomposition Scheme Using the Extreme-lifting Scheme

摘要

In this paper, we discuss te signal decomposition method using the extreme-lifting scheme and two two-dimensional decomposition schemes: separable one-dimensional scheme and two-dimensional scheme with quincunx sampling. The structure of the relation approx between E_x and E_y is symmetrical of these two schemes. And both these two schemes have shortcomings. In order to overcome the shortcomings of previous two schemes, we also give out an unsymmetrical scheme of the extreme-lifting scheme that can be directly used to decompose two-dimension image. This method can get better decomposition result than previous two schemes with little calculation cost.