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Keywords
(6)
Efficient Algorithm
Linear Filtering
Maximum Likelihood Estimate
Median Filter
Probability Density
Probability Density Function
Related Publications
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Vector median filters
Vector median filters,10.1109/5.54807,Proceedings of The IEEE,J. Astola,P. Haavisto,Y. Neuvo
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Vector median filters
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Citations: 529
)
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J. Astola
,
P. Haavisto
,
Y. Neuvo
Two nonlinear algorithms for processing vectorvalued signals are introduced. The algorithms, called vector median operations, are derived from two multidimensional
probability density
functions using the maximumlikelihoodestimate approach. The underlying probability densities are exponential, and the resulting operations have properties very similar to those of the median filter. In the vector median approach, the samples of the vectorvalued input signal are processed as vectors. The operation inherently utilizes the correlation between the signal components, giving the filters some desirable properties. General properties as well as the root signals of the vector median filters are studied. The vector median operation is combined with linear filtering, resulting in filters with improved noise attenuation and filters with very good edge response. An
efficient algorithm
for implementing long vector median filters is presented. The noise attenuation of the filters is discussed, and an application to velocity filtering is shown
Journal:
Proceedings of The IEEE  PIEEE
, vol. 78, no. 4, pp. 678689, 1990
DOI:
10.1109/5.54807
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Citation Context
(271)
...<{[SECTION]}>[
21
] H. Samartzidou, L. Turner, T. Houts, M. Frorne, J. Worley, and H. Al...
...However, as was already pointed out in [14], these operators based on min/max cumulated distances are in fact vector median [
21
] and antimedian filters and cannot be referred as the multivariate extension of dilations and erosions in the mathematical morphology framework, i.e., the pair of vector median and vector antimedian are not adjunct operators and consequently they cannot be used to defined morphological filters as the ...
Santiago VelascoForero
,
et al.
Supervised Ordering in ${\rm I}\!{\rm R}^p$: Application to Morphologi...
...Recently, in classified occlusion regions, median MV filtering [
16
] in a spiral scanning from the lefttop and clockwise direction was suggested for reestimated MV [9]...
ThuyHa Thi Tran
,
et al.
Frame Rate Converter With PixelBased Motion Vectors Selection and Hal...
...We employ the vector median filter [
1
] to largely remove this noise, inducing robustness for the fitting approach...
Roy van Pelt
,
et al.
Interactive Virtual Probing of 4D MRI BloodFlow
...This is done by calculating pairwise L1 Norms [
17
] of these 3 MVs...
Mert Cetin
,
et al.
An adaptive true motion estimation algorithm for frame rate conversion...
...The median filter [5] and its variants [
67
] are the most popular nonlinear filters to remove the impulse noise...
YiTa Wu
,
et al.
An Impulse Noise Removal Algorithm by Considering RegionWise Property...
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Citations
(529)
Examples of fuzzy metrics and applications
(
Citations: 2
)
Valentín Gregori
,
Samuel Morillas
,
Almanzor Sapena
Journal:
Fuzzy Sets and Systems  FSS
, vol. 170, no. 1, pp. 95111, 2011
Edge and line oriented contour detection: State of the art
(
Citations: 3
)
Giuseppe Papari
,
Nicolai Petkov
Journal:
Image and Vision Computing  IVC
, vol. 29, no. 23, pp. 79103, 2011
Supervised Ordering in ${\rm I}\!{\rm R}^p$: Application to Morphological Processing of Hyperspectral Images
(
Citations: 1
)
Santiago VelascoForero
,
Jesus Angulo
Journal:
IEEE Transactions on Image Processing
, vol. 20, no. 11, pp. 33013308, 2011
Structural sensitivity of biological models revisited
Cordoleani Flora
,
Nerini David
,
Gauduchon Mathias
,
Morozov Andrew
,
Poggiale JeanChristophe
Journal:
Journal of Theoretical Biology  J THEOR BIOL
, vol. 283, no. 1, pp. 8291, 2011
Frame Rate Converter With PixelBased Motion Vectors Selection and Halo Reduction Using Preliminary Interpolation
ThuyHa Thi Tran
,
ChonTam Ledinh
Journal:
IEEE Journal of Selected Topics in Signal Processing  IEEE J SEL TOP SIGNAL PROCESS
, vol. 5, no. 2, pp. 252261, 2011