Dynamic nonlinear threshold decomposition algorithm for implementing stack filters

Stack filters are a class of nonlinear digital filters possessing threshold decomposition and stacking property. In this paper, new nonlinear threshold decomposition architecture is introduced to reduce the complexity of algorithm. Then by combining with the character of image, a dynamic nonlinear decomposition architecture is proposed to implement stack filters which can shorten the running time in the filtering procedure and improve the quality of the output image simultaneously. Comparisons on the mean absolute error (MAE), mean square error (MSE), power signal-to-noise ratio (PSNR) and on the time of filtering computation between this new algorithm and others are provided to show the validity of proposed algorithm.