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Moving window-based double Haar wavelet transform for image processing.

Xin Wang
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Abstract

Image denoising is a lively research field. The classical nonlinear filters used for image denoising, such as median filter, are based on a local analysis of the pixels within a moving window. Recently, the research of image denoising has been focused on the wavelet domain. Compared to the classical nonlinear filters, it is based on a global multiscale analysis of images. Apparently, the wavelet transform can be embedded in a moving window. Thus, a moving window-based local multiscale analysis is obtained. In this paper, based on the Haar wavelet, a class of nonorthogonal multi-channel filter bank with its corresponding wavelet shrinkage called Lee shrinkage is derived. As a special case of this filter bank, the double Haar wavelet transform is introduced. Examples show that it is suitable for a moving window-based local multiscale analysis used for image denoising, edge detection, and edge enhancement.

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AlgorithmsArtifactsComputer SimulationImage EnhancementImage Interpretation, Computer-AssistedInformation Storage and RetrievalModels, StatisticalNonlinear DynamicsNumerical Analysis, Computer-AssistedSignal Processing, Computer-AssistedJournal ArticleResearch Support, Non-U.S. Gov't

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Xin Wang. 2006. Moving window-based double Haar wavelet transform for image processing.. https://doi.org/10.1109/tip.2006.877316

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