A new approach of halftoning based on error diffusion with rough set filtering

The rough set filtering makes use of the concepts of indiscernibility relations and approximation spaces to define an equivalence class of neighboring pixels in a processing mask, then utilize the statistical mean of the equivalence classes to replace the gray levels of the central pixel in a processing mask. The error diffusion makes use of the correction factor composed of the weighted errors for these pixels prior to addition of the pixel to be processed to diffuse error over the neighboring pixels in a continuous tone image. Both of a system and an algorithm of implementation of halftoning on error diffusion with rough sets are introduced in the paper.