Noise-resistant structure-preserving multiscale image decomposition

Xin Jin; Xiaotong Wang; Xiaogang Xu; Chengyong Shao; Guanlei Xu

doi:10.1117/1.OE.51.8.087002

Abstract

A challenge for current edge-preserving image decompositions is to deal with noisy images. Gradient- or magnitude difference-based techniques regard the noise boundary as edges, while the local extrema-based method suffers from averaging noisy envelops. We introduce local anisotropy derived from nonlinear local structure tensor to differentiate edges from fine-scale details and noises. Providing low smoothness weights to the places with large local anisotropy rather than a large gradient under the improved weighted least squares optimization framework, we present a noise-resistant, structure-preserving smoothing operator. By either progressively or recursively applying this operator we construct our structure-preserving multiscale image decomposition. Based on the key property of our algorithm, noise resistance, we compare our results with existing edge-preserving image decomposition methods and demonstrate the effectiveness and robustness of our structure-preserving decompositions in the context of image restoration, noisy image abstraction, and noisy image dehazing.

Citation Download Citation

Xin Jin, Xiaotong Wang, Xiaogang Xu, Chengyong Shao, Guanlei Xu, "Noise-resistant structure-preserving multiscale image decomposition," Optical Engineering 51(8), 087002 (9 August 2012). https://doi.org/10.1117/1.OE.51.8.087002 . Submission:

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