Impulsive Noise Removal with an Adaptive Weighted Arithmetic Mean Operator for Any Noise Density

González-Hidalgo, Manuel; Massanet, Sebastia; Mir, Arnau; Ruiz-Aguilera, Daniel

doi:10.3390/app11020560

Open AccessArticle

Impulsive Noise Removal with an Adaptive Weighted Arithmetic Mean Operator for Any Noise Density

by

Manuel González-Hidalgo

^1,2,*,†

,

Sebastia Massanet

^1,2,†

,

Arnau Mir

^1,2,†

and

Daniel Ruiz-Aguilera

^1,2,†

¹

Soft Computing, Image Processing and Aggregation Research Group (SCOPIA), Department of Mathematics and Computer Science, University of the Balearic Islands, E07122 Palma, Spain

²

Health Research Institute of the Balearic Islands (IdISBa), E07010 Palma, Spain

^*

Author to whom correspondence should be addressed.

^†

These authors contributed equally to this work.

Appl. Sci. 2021, 11(2), 560; https://doi.org/10.3390/app11020560

Submission received: 3 December 2020 / Revised: 1 January 2021 / Accepted: 4 January 2021 / Published: 8 January 2021

(This article belongs to the Section Computing and Artificial Intelligence)

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Abstract

Many computer vision algorithms which are not robust to noise incorporate a noise removal stage in their workflow to avoid distortions in the final result. In the last decade, many filters for salt-and-pepper noise removal have been proposed. In this paper, a novel filter based on the weighted arithmetic mean aggregation function and the fuzzy mathematical morphology is proposed. The performance of the proposed filter is highly competitive when compared with other state-of-the-art filters regardless of the amount of salt-and-pepper noise present in the image, achieving notable results for any noise density from 5% to 98%. A statistical analysis based on some objective restoration measures supports that this filter surpasses several state-of-the-art filters for most of the noise levels considered in the comparison experiments.

Keywords: image processing; noise removal; impulsive noise; weighted arithmetic mean; fuzzy mathematical morphology; open-close filter

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MDPI and ACS Style

González-Hidalgo, M.; Massanet, S.; Mir, A.; Ruiz-Aguilera, D. Impulsive Noise Removal with an Adaptive Weighted Arithmetic Mean Operator for Any Noise Density. Appl. Sci. 2021, 11, 560. https://doi.org/10.3390/app11020560

AMA Style

González-Hidalgo M, Massanet S, Mir A, Ruiz-Aguilera D. Impulsive Noise Removal with an Adaptive Weighted Arithmetic Mean Operator for Any Noise Density. Applied Sciences. 2021; 11(2):560. https://doi.org/10.3390/app11020560

Chicago/Turabian Style

González-Hidalgo, Manuel, Sebastia Massanet, Arnau Mir, and Daniel Ruiz-Aguilera. 2021. "Impulsive Noise Removal with an Adaptive Weighted Arithmetic Mean Operator for Any Noise Density" Applied Sciences 11, no. 2: 560. https://doi.org/10.3390/app11020560

APA Style

González-Hidalgo, M., Massanet, S., Mir, A., & Ruiz-Aguilera, D. (2021). Impulsive Noise Removal with an Adaptive Weighted Arithmetic Mean Operator for Any Noise Density. Applied Sciences, 11(2), 560. https://doi.org/10.3390/app11020560

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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Impulsive Noise Removal with an Adaptive Weighted Arithmetic Mean Operator for Any Noise Density

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