Edge Enhancement in the Generalized Statistical Smoothing to the Problem of Inverse-halftoning for Error Diffusion

In order to reconstruct a gray-level image from the halftone image generated by the error diffusion method, we introduce the generalized parameter scheduling into the parameters for edge enhancement procedure in the statistical smoothing and tune the parameters to reconstruct the original gray-level image with high accuracy. Then, we numerically estimate both the static and dynamic properties of the present method based on the PSNR, the gray-level histogram and the gray-level on the segment across the edges. The simulations clarify that the generalized statistical smoothing improves the performance by introducing the generalized parameter scheduling into the edge enhancement procedure, and that the edges of the original images are accurately reconstructed by the present method, although the small peaks appear in the histogram of the gray-level.