1 October 2008 Image denoising by using nonseparable wavelet filters and two-dimensional principal component analysis
Xinge You, Zaochao Bao, Chunfang Xing, Yiu-ming Cheung, Yuan Yan Tang, Maotang Li
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Abstract
In this paper, we propose an image denoising method based on nonseparable wavelet filter banks and two-dimensional principal component analysis (2D-PCA). Conventional wavelet domain processing techniques are based on modifying the coefficients of separable wavelet transform of an image. In general, separable wavelet filters have limited capability of capturing the directional information. In contrast, nonseparable wavelet filters contain the basis elements oriented at a variety of directions and different filter banks capture the different directional features of an image. Furthermore, we identify the patterns from the noisy image by using the 2D-PCA. In comparison to the prevalent denoising algorithms, our proposed algorithm features no complex preprocessing. Furthermore, we can adjust the wavelet coefficients by a threshold according to the denoising results. We apply our proposed technique to some benchmark images with white noise. Experimental results show that our new technique achieves both good visual quality and a high peak signal-to-noise ratio for the denoised images.
©(2008) Society of Photo-Optical Instrumentation Engineers (SPIE)
Xinge You, Zaochao Bao, Chunfang Xing, Yiu-ming Cheung, Yuan Yan Tang, and Maotang Li "Image denoising by using nonseparable wavelet filters and two-dimensional principal component analysis," Optical Engineering 47(10), 107002 (1 October 2008). https://doi.org/10.1117/1.3002369
Published: 1 October 2008
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CITATIONS
Cited by 8 scholarly publications.
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KEYWORDS
Wavelets

Image filtering

Image denoising

Denoising

Linear filtering

Optical filters

Principal component analysis

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