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It is difficult to extend a grayscale morphological approach to color images because total vector ordering is required for color pixels. To address this issue, we developed a kind of vector ordering method based on linear transformations from RGB to other color spaces (i.e., YUV, YIQ and YCbCr) and principal component analysis (PCA). Additionally, we propose a conditionally invariant morphological...
Self-dual morphological operators (SDMO) do not rely on whether one starts the sequence with erosion or dilation, they treat the image foreground and background identically. Nevertheless, it is difficult to extend SDMO to multi-channel images. Based on the self-duality property of traditional morphological operators and the theory of extremum constraint, this paper gives a complete characterization...
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