Masked k-order statistic filters for 2D data

Morphological erosion, dilation, median filter and generic k-order statistic filter implementation
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Aktualisiert 27 Jun 2013

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Masked k-order statistic filter for double data

refer to: F. Bellavia, D. Tegolo, C. Valenti, "Improving Harris corner selection strategy", IET Computer Vision 5(2), 2011. Only for academic or other non-commercial purposes.

With respect to standard matlab routines, any kernel mask can be used and it is faster for large kernel size (i.e. more than 30x30 kernel mask)

input:
im - input 2D matrix
ker - kernel binary mask
idx - k-order index, in range [1,sum(ker(:)))

Use idx=1 for min filter (graylevel erosion), idx=sum(ker(:))/2+0.5 for median filter, idx=sum(ker(:)) for max filter (graylevel dilation), any other value for k-selection filter, non integer values interpolate between values, i.e. 5.6 give 0.4*I(5)+0.6*I(6) where I(n) is the n-th values in the sorted order inside the kernel mask.

output:
r - result 2D matrix, of the same size of im, zero padding is used for the border.

The median filter implementation is based on:
W. Hardle, W. Steiger, "Algorithm AS 296: Optimal Median Smoothing", Journal of the Royal Statistical Society, Series C (Applied Statistics), pp. 258-264.

Zitieren als

Fabio Bellavia (2024). Masked k-order statistic filters for 2D data (https://www.mathworks.com/matlabcentral/fileexchange/36686-masked-k-order-statistic-filters-for-2d-data), MATLAB Central File Exchange. Abgerufen .

Kompatibilität der MATLAB-Version
Erstellt mit R2011b
Kompatibel mit allen Versionen
Plattform-Kompatibilität
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Version Veröffentlicht Versionshinweise
1.6.0.0

added support to build the mex file with microsoft visual studio (thanks to Giosue' Lo Bosco)

1.4.0.0

fix crash on newer matlab version
add usage demo

1.3.0.0

2nd revision: removed some comment typos

1.0.0.0