Two-dimensional multi-scale permutation entropy algorithm based on uniform quantization

In order to solve the problem that equal values in the subsequence lead to an increase in the probability of certain ordinal patterns when extending the permutation entropy algorithm to two-dimensional domain, a two-dimensional multi-scale permutation entropy based on uniform quantization (MUPE<s...

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Main Authors: WANG Daming, SHI Pengfei, LEI Yihang, BIAN Haoran, LIANG Min, CHANG Liwei
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2024-10-01
Series:Tongxin xuebao
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Online Access:http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2024221/
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author WANG Daming
SHI Pengfei
LEI Yihang
BIAN Haoran
LIANG Min
CHANG Liwei
author_facet WANG Daming
SHI Pengfei
LEI Yihang
BIAN Haoran
LIANG Min
CHANG Liwei
author_sort WANG Daming
collection DOAJ
description In order to solve the problem that equal values in the subsequence lead to an increase in the probability of certain ordinal patterns when extending the permutation entropy algorithm to two-dimensional domain, a two-dimensional multi-scale permutation entropy based on uniform quantization (MUPE<sub>2D</sub>) algorithm based on uniform quantization was proposed. By redefining the ordinal patterns based on uniform quantization, the effect of equal values on the calculation was eliminated. The MUPE<sub>2D</sub> algorithm was used to investigate various synthetic textures, MIX<sub>2D </sub>(<italic>p</italic>) images and encrypted images. The results reveal that MUPE<sub>2D</sub> is able to effectively quantify the complexity and information concealment capabilities of encrypted images even if there are a large number of equal values. Consequently, the MUPE<sub>2D</sub> algorithm provides an effective means for evaluating images.
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id doaj-art-9cd1e28523884438a086bd5fb657fc0c
institution Kabale University
issn 1000-436X
language zho
publishDate 2024-10-01
publisher Editorial Department of Journal on Communications
record_format Article
series Tongxin xuebao
spelling doaj-art-9cd1e28523884438a086bd5fb657fc0c2025-01-14T08:46:51ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2024-10-0145758679872357Two-dimensional multi-scale permutation entropy algorithm based on uniform quantizationWANG DamingSHI PengfeiLEI YihangBIAN HaoranLIANG MinCHANG LiweiIn order to solve the problem that equal values in the subsequence lead to an increase in the probability of certain ordinal patterns when extending the permutation entropy algorithm to two-dimensional domain, a two-dimensional multi-scale permutation entropy based on uniform quantization (MUPE<sub>2D</sub>) algorithm based on uniform quantization was proposed. By redefining the ordinal patterns based on uniform quantization, the effect of equal values on the calculation was eliminated. The MUPE<sub>2D</sub> algorithm was used to investigate various synthetic textures, MIX<sub>2D </sub>(<italic>p</italic>) images and encrypted images. The results reveal that MUPE<sub>2D</sub> is able to effectively quantify the complexity and information concealment capabilities of encrypted images even if there are a large number of equal values. Consequently, the MUPE<sub>2D</sub> algorithm provides an effective means for evaluating images.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2024221/two-dimensional permutation entropymulti-scale entropyencrypted image analysistexture analysis
spellingShingle WANG Daming
SHI Pengfei
LEI Yihang
BIAN Haoran
LIANG Min
CHANG Liwei
Two-dimensional multi-scale permutation entropy algorithm based on uniform quantization
Tongxin xuebao
two-dimensional permutation entropy
multi-scale entropy
encrypted image analysis
texture analysis
title Two-dimensional multi-scale permutation entropy algorithm based on uniform quantization
title_full Two-dimensional multi-scale permutation entropy algorithm based on uniform quantization
title_fullStr Two-dimensional multi-scale permutation entropy algorithm based on uniform quantization
title_full_unstemmed Two-dimensional multi-scale permutation entropy algorithm based on uniform quantization
title_short Two-dimensional multi-scale permutation entropy algorithm based on uniform quantization
title_sort two dimensional multi scale permutation entropy algorithm based on uniform quantization
topic two-dimensional permutation entropy
multi-scale entropy
encrypted image analysis
texture analysis
url http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2024221/
work_keys_str_mv AT wangdaming twodimensionalmultiscalepermutationentropyalgorithmbasedonuniformquantization
AT shipengfei twodimensionalmultiscalepermutationentropyalgorithmbasedonuniformquantization
AT leiyihang twodimensionalmultiscalepermutationentropyalgorithmbasedonuniformquantization
AT bianhaoran twodimensionalmultiscalepermutationentropyalgorithmbasedonuniformquantization
AT liangmin twodimensionalmultiscalepermutationentropyalgorithmbasedonuniformquantization
AT changliwei twodimensionalmultiscalepermutationentropyalgorithmbasedonuniformquantization