Weighted Iterative Truncated Mean Filter

WITM filters

The codes for a rich class of filters named weighted ITM (WITM) filters are provided here. By iteratively truncating the extreme samples, the output of the WITM filter converges to the weighted median. Proper stopping criterion makes the WITM filters own merits of both the weighted mean and median filters and hence outperforms the both in some applications. Three structures are designed to enable the WITM filters being low-, band- and high-pass filters. Properties of these filters are presented and analyzed.
Demo codes includes:
1) low-pass WITM filters,
2) band-pass WITM filters,
3) high-pass WITM filters
4) WITM filters for image denoising.
Some further demo codes can be found in the codes for the fast ITM filters https://www.mathworks.com/matlabcentral/fileexchange/48583-fast-iterative-truncated-arithmetic-mean-filter--fitm-filter-
and ITTM filters
https://www.mathworks.com/matlabcentral/fileexchange/48584-iterative-trimmed-and-truncated-mean-algorithm-filter--ittm-filter-

You may need to compile the c files before using them. Please try the function WITM_compile.

More inforation can be found from the webpage of Prof. Jiang:
http://www.ntu.edu.sg/home/exdjiang/default.htm

and my homepage:
https://sites.google.com/site/miaozhenwei/

Reference paper:
Z. W. Miao and X. D. Jiang, "Weighted Iterative Truncated Mean Filter," IEEE Transactions on Signal Processing, Vol. 61, no. 16, pp. 4149-4160, August, 2013.

Related papers:
Z. W. Miao and X. D. Jiang, "Additive and Exclusive Noise Suppression byIterative Trimmed and Truncated Mean Algorithm," Signal Processing, vol. 99, pp. 147-158, June, 2014.
Z. W. Miao and X. D. Jiang, "Further Properties and a Fast Realization of the Iterative Truncated Arithmetic Mean Filter" IEEE Transactions on Circuits and Systems-II, vol. 59, no. 11, pp. 810-814, November 2012.
X.D. Jiang, "Iterative Truncated Arithmetic Mean Filter And Its Properties," IEEE Transactions on Image Processing, vol. 21, no. 4, pp. 1537-1547, April 2012.