Iterative blocking artifact reduction using a minimum mean square error filter in wavelet domain

  • Authors:
  • Ick Hoon Jang;Nam Chul Kim;Hyun Joo So

  • Affiliations:
  • Department of Electronic Engineering, Kyungwoon University, Kumi 730-850, South Korea;Laboratory for Visual Communications, Department of Electronic Engineering, Kyungpook National University, Taegu 702-701, South Korea;Laboratory for Visual Communications, Department of Electronic Engineering, Kyungpook National University, Taegu 702-701, South Korea

  • Venue:
  • Signal Processing
  • Year:
  • 2003

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Abstract

We propose an iterative algorithm for reducing the blocking artifact in block transform-coded images by using a minimum mean square error (MMSE) filter in wavelet domain. An image is considered to be a set of one-dimensional (1-D) horizontal and vertical signals and a 1-D wavelet transform (WT) is utilized in which the mother wavelet is the first-order derivative of a Gaussian-like function. Using an MMSE filter in the wavelet domain the blocking artifact is reduced by removing the component that causes the variance at the block boundary position in the first-scale wavelet domain to be abnormally high compared to those at the other positions and the variances at the positions near the block boundary position in the second-scale wavelet domain to be somewhat high. This filter minimizes the mean square error (MSE) between the ideal blocking component-free signal and the restored signal in the neighborhood of block boundaries in the wavelet domain. The filter also uses local variance in the wavelet domain for pixel adaptive processing. The filtering and the projection onto a convex set of quantization constraint are performed alternately and iteratively. Experimental results show the proposed method yields not only a PSNR improvement of about 0.5-1.07 dB, but also a subjective quality that is nearly free of the blocking artifact and edge blur.