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Contextual adaptive fourth-order smoothing

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Abstract

This paper aims to propose a novel contextual adaptive fourth-order smoothing method for noise removal. The classical Laplacian operator is first modified into a multi-scale and robust form, which combines two distinct discontinuity measures simultaneously, i.e., inhomogeneity and local spatial gradient. Then the contextual adaptive fourth-order smoothing method is proposed based on the new Laplacian operator. Moreover, a gain control function is employed for the gain control of smoothing in terms of contextual discontinuities to better preserve the important features. Experimental results support that the proposed method achieves the best performance among the comparative methods with respect to some objective evaluation metrics and visual effects.

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Acknowledgments

The authors are grateful to the anonymous referees for their valuable comments that have led to a greatly improved paper.

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Authors and Affiliations

  1. School of Economics, Xihua University, Chengdu, 610039, People’s Republic of China

    Yong Chen

  2. School of Art and Design, Xihua University, Chengdu, 610039, People’s Republic of China

    Shaojun Li

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  1. Yong Chen
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  2. Shaojun Li
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Correspondence to Yong Chen.

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Chen, Y., Li, S. Contextual adaptive fourth-order smoothing. Multimed Tools Appl 79, 18435–18446 (2020). https://doi.org/10.1007/s11042-020-08702-2

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  • DOI: https://doi.org/10.1007/s11042-020-08702-2

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