Image denoising via fundamental anisotropic diffusion and wavelet shrinkage: a comparative study

Bulent Bayraktar; Mostafa Analoui

doi:10.1117/12.537085

21 May 2004 Image denoising via fundamental anisotropic diffusion and wavelet shrinkage: a comparative study

Bulent Bayraktar, Mostafa Analoui

Proceedings Volume 5299, Computational Imaging II; (2004) https://doi.org/10.1117/12.537085
Event: Electronic Imaging 2004, 2004, San Jose, California, United States

Abstract

Noise removal faces a challenge: Keeping the image details. Resolving the dilemma of two purposes (smoothing and keeping image features in tact) working inadvertently of each other was an almost impossible task until anisotropic dif-fusion (AD) was formally introduced by Perona and Malik (PM). AD favors intra-region smoothing over inter-region in piecewise smooth images. Many authors regularized the original PM algorithm to overcome its drawbacks. We compared the performance of denoising using such 'fundamental' AD algorithms and one of the most powerful multiresolution tools available today, namely, wavelet shrinkage. The AD algorithms here are called 'fundamental' in the sense that the regularized versions center around the original PM algorithm with minor changes to the logic. The algorithms are tested with different noise types and levels. On top of the visual inspection, two mathematical metrics are used for performance comparison: Signal-to-noise ratio (SNR) and universal image quality index (UIQI). We conclude that some of the regu-larized versions of PM algorithm (AD) perform comparably with wavelet shrinkage denoising. This saves a lot of compu-tational power. With this conclusion, we applied the better-performing fundamental AD algorithms to a new imaging modality: Optical Coherence Tomography (OCT).

Citation Download Citation

Bulent Bayraktar and Mostafa Analoui "Image denoising via fundamental anisotropic diffusion and wavelet shrinkage: a comparative study", Proc. SPIE 5299, Computational Imaging II, (21 May 2004); https://doi.org/10.1117/12.537085

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