Denoising Images by Soft-Threshold Technique Using the Monotonic Transform and the Noise Power of Wavelet Subbands

단조변환 및 웨이블릿 서브밴드 잡음전력을 이용한 Soft-Threshold 기법의 영상 잡음제거

  • Received : 2014.10.08
  • Accepted : 2014.11.02
  • Published : 2014.10.30

Abstract

The wavelet shrinkage is a technique that reduces the wavelet coefficients to minimize the MSE(Mean Square Error) between the signal and the noisy signal by making use of the threshold determined by the variance of the wavelet coefficients. In this paper, by using the monotonic transform and the power of wavelet subbands, new thresholds applicable to the high and the low frequency wavelet bands are proposed, and the thresholds are applied to the ST(soft-threshold) technique to denoise on image signals with additive Gaussian noise. And the results of PSNRs are compared with the results obtained by the VisuShrink technique and those of [15]. The results shows the validity of this technique.

웨이블릿 축소기법은 웨이블릿 변환 계수의 분산 값에 의해 결정되는 경계값을 이용해서 원신호와 잡음신호 간의 MSE(Mean Square Error)가 최소가 되도록 웨이블릿 변환된 계수를 축소하는 방법이다. 이 논문에서는 단조변환 및 웨이블릿 서브밴드의 전력을 이용해서 고주파 및 저주파 웨이블릿 밴드에 적용되는 새로운 경계값들을 제시하고, 이 값들과 ST(soft-threshold) 연산자에 의해 영상신호에 부가된 가우시안 잡음을 제거하였다. 그리고 그 결과를 VisuShrink방법 및 [15]에서의 제시한 기법의 결과와 PSNR로 비교, 평가하고 이 기법의 실용성을 밝혔다.

Keywords

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