Abstract

Mixed Gaussian and Random-valued impulse noise (RVIN) removal is still a big challenge in the field of image denoising. Existing denoising algorithms have defects in denoising performance and computational complexity. Based on the improved “detecting then filtering” strategy and the idea of inpainting, this paper proposes an efficient method to remove mixed Gaussian and RVIN. The proposed algorithm contains two phases: noise classification and noise removal. The noise classifier is based on Adaptive center-weighted median filter (ACWMF), three-sigma rule and extreme value processing. Different from the traditional “detecting then filtering” strategy, a preliminary RVIN removal step is added to the noise removal phase, which leads to three steps in this phase: preliminary RVIN removal, Gaussian noise removal and final RVIN removal. Firstly, RVIN is processed to obtain a noisy image approximately corrupted by Gaussian noise only. Subsequently, Gaussian noise is re-estimated and then denoised by Block Matching and 3D filtering method (BM3D). At last, the idea of inpainting is introduced to further remove RVIN. Extensive experimental results demonstrate that the proposed method outperforms quantitatively and visually to the state-of-the-art mixed Gaussian and RVIN removal methods. In addition, it greatly shortens the computation time.

Highlights

  • Noise is everywhere in life, in the signal will have noise interference [1, 2], noise removal in the image is a big challenge

  • Impulse noise can be further divided into salt and pepper noise (SPN) and random-valued impulse noise (RVIN), where RVIN is more general than SPN because SPN can be converted to RVIN in some cases

  • The noise removal of a natural image corrupted by mixed Gaussian and RVIN remains a challenging problem in the field of image denoising

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Summary

Introduction

Noise is everywhere in life, in the signal will have noise interference [1, 2], noise removal in the image is a big challenge. In 2011, Li Bing et al [17] put forward a new method which called non-local mixed noise filter (NLMNF) for mixed noise removal Though it can remove Gaussian noise and RVIN simultaneously, it suffers from unstable results when the images are corrupted with a high level of mixed noise. Zhou et al [21] proposed an image denoising algorithm combining CBNLMF and sparse representation (SR) technique to remove mixed Gaussian and RVIN It used a CBNLMF-based detector to classify mixed noises and removed them by SR. This paper proposes a new algorithm based on improved “detecting filtering” strategy and the idea of inpainting It effectively addresses the mixed Gaussian and RVIN noise removal problem and greatly reduces the computation time.

Mixed Gaussian and RVIN noise model
Proposed noise classification scheme
Acquisition of initial denoised image X^ ðACWMFÞ based on ACWMF
Proposed mixed noise classifier
Proposed noise removal scheme
Preliminary RVIN removal
Gaussian noise removal
Gaussian noise level re-estimation
Gaussian noise removal by BM3D
Final RVIN removal
Summary of the proposed denoising scheme
Experimental results and discussion
Comparison of noise classification
Image quality metrics introduction
Numerical results and visual quality
Conclusion

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