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Fig. 3 | BMC Bioinformatics

Fig. 3

From: Image segmentation and separation of spectrally similar dyes in fluorescence microscopy by dynamic mode decomposition of photobleaching kinetics

Fig. 3

Dynamic mode decomposition enables accurate segmentation of synthetic bleach stacks. A rank-3 approximation of the full matrix A was employed to decompose the simulated bleaching kinetics. A, 2D map of dynamic modes, i.e., Mode 1 (φ1), Mode 2 (φ2) and Mode 3 (φ3). B, mode dynamics for each of the three modes and C, eigenvalues for each mode, ω1 to ω3, plotted on the unit circle. D, histogram of each dynamic mode (compare panel A) with threshold intensity value determined by the Minimum method indicated as red line. E, result of binary segmentation with white being foreground and black being background. While thresholding Mode 1 segments the slowly bleaching rectangular region, thresholding Mode 2 isolates the elliptical region with fast bleaching kinetics. Thresholding Mode 3 isolated the circular region with intermediate bleaching kinetics. F, reconstructed mode dynamics according to Eq. 11 for Mode 1 (left column), Mode 2 (middle column) and Mode 3 (right column)

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