B = HMF(A,N) performs hybrid median filtering of the matrix A using a NxN box. Hybrid median filtering preserves edges better than a NxN square kernel-based median filter because data from different spatial directions are ranked separately. Three median values are calculated in the NxN box: MR is the median of horizontal and vertical R pixels, and MD is the median of diagonal D pixels. The filtered value is the median of the two median values and the central pixel C: median([MR,MD,C]).
B = HMF(A) uses N = 5 (default value).
A can be a 2-D array or an RGB image. If A is an RGB image, hybrid median filtering is performed in the HSV color space.
1) N must be odd. If N is even then N is incremented by 1.
2) The Image Processing Toolbox is required.
3) If the function NANMEDIAN exists (Statistics Toolbox), NaNs are treated as missing values and are ignored.
% original image
[I,map] = imread('trees.tif');
I = ind2rgb(I,map);
% noisy image
J = imnoise(I,'salt & pepper',0.02);
% hybrid median filtering
K = hmf(J,9);
Other examples are given in:
Damien Garcia (2020). Hybrid median filtering (https://www.mathworks.com/matlabcentral/fileexchange/25825-hybrid-median-filtering), MATLAB Central File Exchange. Retrieved .
Test for RGB has been improved. RGB output and input have same class.