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Image Denoising Essay

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3.1 IMAGE DENOISING
Denoising of image means, suppressing the effect of noise to an extent that the resultant image becomes acceptable. The spatial domain or transform (frequency) domain filtering can be used for this purpose. There is one to one correspondence between linear spatial filters and filters in the frequency domain. However, spatial filters offer considerably more versatility because they can also be used for non linear filtering, something we cannot do in the frequency domain. Recently wavelet transform is also being used to remove the impulse noise from noisy images. Historically, in early days filters were used uniformly on the entire image without discriminating between the noisy and noise-free pixels. mean filter such as …show more content…

Researchers published different ways to compute the parameters for the thresholding of wavelet coefficients. Data adaptive thresholds were introduced to achieve optimum value of threshold. Later efforts found that substantial improvements in perceptual quality could be obtained by translation invariant methods based on thresholding of an Undecimated Wavelet Transform . These thresholding techniques were applied to the nonorthogonal wavelet coefficients to reduce artifacts. Multiwavelets were also used to achieve similar results. Probabilistic models using the statistical properties of the wavelet coefficient seemed to outperform the thresholding techniques and gained ground. Recently, much effort has been devoted to Bayesian denoising in Wavelet domain. Hidden Markov Models and Gaussian Scale Mixtures have also become popular and more research continues to be published. Tree Structures ordering the wavelet coefficients based on their magnitude, scale and spatial location have been researched. Data adaptive transforms such as Independent Component Analysis (ICA) have been explored for sparse shrinkage. The trend continues to focus on using different statistical models to model the statistical properties of the wavelet coefficients and its neighbors. Future trend will be towards finding more accurate probabilistic models for the distribution of non-orthogonal wavelet

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