Morphological pattern-spectra-based Tau-opening optimization
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abstract
Morphological tau-openings are binary filters that are translation invariant, increasing, antiextensive, and idempotent. The Matheron representation for tau-opening filters show that they are always given by unions of elementary openings. Historically tau-openings have been employed to restore binary images corrupted by union noise. This paper investigates optimal restoration for the union noise model based upon the individual granulometric pattern spectra of the image and noise. It does so for a class of random-grain image and noise models.
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Visual Communications and Image Processing '91: Image Processing