An ordered gray-scale erosion is suggested according to the definition
of hit-miss transform. Instead of using three operations, two images,
and two structuring elements, the developed operation requires only o
ne operation and one structuring element, but with three gray-scale le
vels. Therefore, a union of the ordered gray-scale erosions with diffe
rent structuring elements can constitute a simple image algebra to pro
gram any combined image processing function. An optical parallel order
ed gray-scale erosion processor is developed based on the incoherent c
orrelation in a single channel. Experimental results are also given fo
r an edge detection and a pattern recognition. (C) 1998 Society of Pho
to-Optical Instrumentation Engineers. [S0091-3286(98)00306-7].