Masi Entropy for Satellite Color Image Segmentation Using Tournament-Based Lévy Multiverse Optimization Algorithm

A novel multilevel threshold segmentation method for color satellite images based on Masi entropy is proposed in this paper. Lévy multiverse optimization algorithm (LMVO) has a strong advantage over the traditional multiverse optimization algorithm (MVO) in finding the optimal solution for...

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Main Authors: Heming Jia, Xiaoxu Peng, Wenlong Song, Diego Oliva, Chunbo Lang, Yao Li
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/11/8/942
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spelling doaj-ca1e7d83e5854ac186374dee094513a02020-11-24T20:43:41ZengMDPI AGRemote Sensing2072-42922019-04-0111894210.3390/rs11080942rs11080942Masi Entropy for Satellite Color Image Segmentation Using Tournament-Based Lévy Multiverse Optimization AlgorithmHeming Jia0Xiaoxu Peng1Wenlong Song2Diego Oliva3Chunbo Lang4Yao Li5College of Mechanical and Electrical Engineering, Northeast Forestry University, Harbin 150040, ChinaCollege of Mechanical and Electrical Engineering, Northeast Forestry University, Harbin 150040, ChinaCollege of Mechanical and Electrical Engineering, Northeast Forestry University, Harbin 150040, ChinaDepartamento de Ciencias Computacionales, Universidad de Guadalajara, CUCEI, Av. Revolución 1500, 44430 Guadalajara, Jalisco, MexicoCollege of Mechanical and Electrical Engineering, Northeast Forestry University, Harbin 150040, ChinaCollege of Mechanical and Electrical Engineering, Northeast Forestry University, Harbin 150040, ChinaA novel multilevel threshold segmentation method for color satellite images based on Masi entropy is proposed in this paper. Lévy multiverse optimization algorithm (LMVO) has a strong advantage over the traditional multiverse optimization algorithm (MVO) in finding the optimal solution for the segmentation in the three channels of an RGB image. As the work advancement introduces a Lévy multiverse optimization algorithm which uses tournament selection instead of roulette wheel selection, and updates some formulas in the algorithm with mutation factor. Then, the proposal is called TLMVO, and another advantage is that the population diversity of the algorithm in the latest iterations is maintained. The Masi entropy is used as an application and combined with the improved TLMVO algorithm for satellite color image segmentation. Masi entropy combines the additivity of Renyi entropy and the non-extensibility of Tsallis entropy. By increasing the number of thesholds, the quality of segmenttion becomes better, then the dimensionality of the problem also increases. Fitness function value, average CPU running time, Peak Signal-to-Noise Ratio (PSNR), Structural Similarity Index (SSIM) and Feature Similarity Index (FSIM) were used to evaluate the segmentation results. Further statistical evaluation was given by Wilcoxon’s rank sum test and Friedman test. The experimental results show that the TLMVO algorithm has wide adaptability to high-dimensional optimization problems, and has obvious advantages in objective function value, image quality detection, convergence performance and robustness.https://www.mdpi.com/2072-4292/11/8/942multilevel threshold segmentationMasi entropymultiverse optimization algorithmLévy multiverse optimization algorithmtournament selection
collection DOAJ
language English
format Article
sources DOAJ
author Heming Jia
Xiaoxu Peng
Wenlong Song
Diego Oliva
Chunbo Lang
Yao Li
spellingShingle Heming Jia
Xiaoxu Peng
Wenlong Song
Diego Oliva
Chunbo Lang
Yao Li
Masi Entropy for Satellite Color Image Segmentation Using Tournament-Based Lévy Multiverse Optimization Algorithm
Remote Sensing
multilevel threshold segmentation
Masi entropy
multiverse optimization algorithm
Lévy multiverse optimization algorithm
tournament selection
author_facet Heming Jia
Xiaoxu Peng
Wenlong Song
Diego Oliva
Chunbo Lang
Yao Li
author_sort Heming Jia
title Masi Entropy for Satellite Color Image Segmentation Using Tournament-Based Lévy Multiverse Optimization Algorithm
title_short Masi Entropy for Satellite Color Image Segmentation Using Tournament-Based Lévy Multiverse Optimization Algorithm
title_full Masi Entropy for Satellite Color Image Segmentation Using Tournament-Based Lévy Multiverse Optimization Algorithm
title_fullStr Masi Entropy for Satellite Color Image Segmentation Using Tournament-Based Lévy Multiverse Optimization Algorithm
title_full_unstemmed Masi Entropy for Satellite Color Image Segmentation Using Tournament-Based Lévy Multiverse Optimization Algorithm
title_sort masi entropy for satellite color image segmentation using tournament-based lévy multiverse optimization algorithm
publisher MDPI AG
series Remote Sensing
issn 2072-4292
publishDate 2019-04-01
description A novel multilevel threshold segmentation method for color satellite images based on Masi entropy is proposed in this paper. Lévy multiverse optimization algorithm (LMVO) has a strong advantage over the traditional multiverse optimization algorithm (MVO) in finding the optimal solution for the segmentation in the three channels of an RGB image. As the work advancement introduces a Lévy multiverse optimization algorithm which uses tournament selection instead of roulette wheel selection, and updates some formulas in the algorithm with mutation factor. Then, the proposal is called TLMVO, and another advantage is that the population diversity of the algorithm in the latest iterations is maintained. The Masi entropy is used as an application and combined with the improved TLMVO algorithm for satellite color image segmentation. Masi entropy combines the additivity of Renyi entropy and the non-extensibility of Tsallis entropy. By increasing the number of thesholds, the quality of segmenttion becomes better, then the dimensionality of the problem also increases. Fitness function value, average CPU running time, Peak Signal-to-Noise Ratio (PSNR), Structural Similarity Index (SSIM) and Feature Similarity Index (FSIM) were used to evaluate the segmentation results. Further statistical evaluation was given by Wilcoxon’s rank sum test and Friedman test. The experimental results show that the TLMVO algorithm has wide adaptability to high-dimensional optimization problems, and has obvious advantages in objective function value, image quality detection, convergence performance and robustness.
topic multilevel threshold segmentation
Masi entropy
multiverse optimization algorithm
Lévy multiverse optimization algorithm
tournament selection
url https://www.mdpi.com/2072-4292/11/8/942
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