Isolation of overlapped spots. (a) Original image of two overlapped spots. Left: original gray-scale image, right: the 3-D map. (b) The result of the top-hat transformation by RMP with the straight line-segment SE B
(11 × 1 pixels). (c) The result of the conventional top-hat transformation with the flat disk SE B
(diameter: 11 pixels). The actual length of 11 pixels is shown in (a). The gray-scale images in (b) and (c) were enhanced by linear contrast stretching. (d) The intensity profiles of the original spots (black line), the result of RMP opening with the straight line-segment SE B
(red line) and of conventional opening with the flat disk SE B
(green line). The position of the profile line is marked by an arrowhead in (a). Residues after subtraction of f-γ'
(f) and of f-γ
(f) correspond to (b) and (c), respectively. The horizontal black dotted line in (d) denotes the baseline, which is the limit to distinguish between these two spots. The gray region below the baseline is the overlapped region of these spots. To isolate these two spots, the top-surface of the opened image should surpass the baseline.