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1989) designed a Linear Space Variant (LSI) edge based Kalman filter to suppress the ringing artifact.
This filter reduces the ringing artifact without blurring and could not effectively eliminate the overshoots in and around edges.
An efficient way to reduce the ringing artifact is to start with an LBT of half the desired block size and the two blocks are combined with hierarchical structure is a Nonuniform Lapped Transform.
A Maximum likelihood approach is described by Senungjoon Yang et al (2001), to alleviate the ringing artifact removal problem.
To detect the edge region the Sobel operator is used and in edge region the isotropic fuzzy filter is used to reduce the ringing artifact.