Optimal openings for overlapping signal and noise grains
Clara Cuciurean-Zapan, Edward R. Dougherty · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1994
Optimal openings are considered for extraction of signal from noise in the random binary union-noise model. Disjointness of signal and noise is not assumed, nor are grains within the signal or within the noise assumed to be disjoint. There is a constraint on the overlapping, but this reflects the manner in which binary granular images are derived from gray-scale images of touching objects. The method assumes that the degraded image is segmented by the binary watershed algorithm and that an optimal opening by reconstruction must be found to remove segmented noise grains while passing segmented signal grains.