2015
DOI: 10.1155/2015/596348
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Multivariate Self-Dual Morphological Operators Based on Extremum Constraint

Abstract: 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. However, it is difficult to extend SDMO to multichannel images. Based on the self-duality property of traditional morphological operators and the theory of extremum constraint, this paper gives a complete characterization for the construction of multivariate SDMO. We introduce a pair of symmetric vector orderings (SVO) to construct multiva… Show more

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Cited by 3 publications
(3 citation statements)
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“…5. Perform edge thinning of the edge-detected image using morphological operators [30] for convenience in obtaining the edge length statistics.…”
Section: Sub-region Adaptive Canny Operatormentioning
confidence: 99%
“…5. Perform edge thinning of the edge-detected image using morphological operators [30] for convenience in obtaining the edge length statistics.…”
Section: Sub-region Adaptive Canny Operatormentioning
confidence: 99%
“…This reduces the effect of impulsive noise while preserving other image features. Another option is to use a non-linear filter, such as a morphological filter [6][7][8][9]. This smooths the edges of objects while preserving their shapes and is effective at removing impulsive noise.…”
Section: Introductionmentioning
confidence: 99%
“…Several approaches have been followed and validated. We can mainly cite the basic vector filters [ 1 , 2 , 3 , 4 , 5 , 6 , 7 ], the weighted vector filters [ 8 , 9 ], the adaptive vector filters [ 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 ], the hybrid vector filters [ 18 , 19 ], the fuzzy vector filters [ 20 , 21 , 22 ], the neural network based vector filters [ 23 , 24 , 25 , 26 ], and the morphological based vector median filters [ 27 , 28 ]. The choice of a method remains dependent on the application.…”
Section: Introductionmentioning
confidence: 99%