A Two-Stage Color Image Segmentation Method Based on Saturation-Value Total Variation

IF 1.5 4区 工程技术 Q2 MATHEMATICS, APPLIED Advances in Applied Mathematics and Mechanics Pub Date : 2023-01-01 DOI:10.4208/aamm.oa-2021-0314
Tiange Wang null, Hok Shing Wong
{"title":"A Two-Stage Color Image Segmentation Method Based on Saturation-Value Total Variation","authors":"Tiange Wang null, Hok Shing Wong","doi":"10.4208/aamm.oa-2021-0314","DOIUrl":null,"url":null,"abstract":". Color image segmentation is crucial in image processing and computer vision. Most traditional segmentation methods simply regard an RGB color image as the direct combination of the three monochrome images and ignore the inherent color structures within channels, which contain some key feature information of the image. To better describe the relationship of color channels, we introduce a quaternion-based regularization that can reflect the image characteristics more intuitively. Our model combines the idea of the Mumford-Shah model-based two-stage segmentation method and the Saturation-Value Total Variation regularization for color image segmentation. The new strategy first extracts features from the color image and then subdivides the image in a new color feature space which achieves better performance than methods in RGB color space. Moreover, to accelerate the optimization process, we use a new primal-dual algorithm to solve our novel model. Numerical results demonstrate clearly that the performance of our proposed method is excellent.","PeriodicalId":54384,"journal":{"name":"Advances in Applied Mathematics and Mechanics","volume":"31 1","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Applied Mathematics and Mechanics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.4208/aamm.oa-2021-0314","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0

Abstract

. Color image segmentation is crucial in image processing and computer vision. Most traditional segmentation methods simply regard an RGB color image as the direct combination of the three monochrome images and ignore the inherent color structures within channels, which contain some key feature information of the image. To better describe the relationship of color channels, we introduce a quaternion-based regularization that can reflect the image characteristics more intuitively. Our model combines the idea of the Mumford-Shah model-based two-stage segmentation method and the Saturation-Value Total Variation regularization for color image segmentation. The new strategy first extracts features from the color image and then subdivides the image in a new color feature space which achieves better performance than methods in RGB color space. Moreover, to accelerate the optimization process, we use a new primal-dual algorithm to solve our novel model. Numerical results demonstrate clearly that the performance of our proposed method is excellent.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
基于饱和值总变分的两阶段彩色图像分割方法
. 彩色图像分割是图像处理和计算机视觉的重要组成部分。传统的分割方法大多将RGB彩色图像简单地视为三幅单色图像的直接组合,忽略了通道内固有的颜色结构,而通道内的颜色结构包含了图像的一些关键特征信息。为了更好地描述颜色通道之间的关系,我们引入了一种基于四元数的正则化方法,可以更直观地反映图像特征。我们的模型结合了基于Mumford-Shah模型的两阶段分割方法和用于彩色图像分割的饱和值总变差正则化的思想。该策略首先从彩色图像中提取特征,然后在新的颜色特征空间中对图像进行细分,其性能优于RGB颜色空间中的方法。此外,为了加速优化过程,我们使用了一种新的原始对偶算法来求解我们的新模型。数值结果表明,该方法具有良好的性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Advances in Applied Mathematics and Mechanics
Advances in Applied Mathematics and Mechanics MATHEMATICS, APPLIED-MECHANICS
CiteScore
2.60
自引率
7.10%
发文量
65
审稿时长
6 months
期刊介绍: Advances in Applied Mathematics and Mechanics (AAMM) provides a fast communication platform among researchers using mathematics as a tool for solving problems in mechanics and engineering, with particular emphasis in the integration of theory and applications. To cover as wide audiences as possible, abstract or axiomatic mathematics is not encouraged. Innovative numerical analysis, numerical methods, and interdisciplinary applications are particularly welcome.
期刊最新文献
Development of a Novel Nonlinear Dynamic Cavitation Model and Its Numerical Validations Convergence and Complexity of an Adaptive Planewave Method for Eigenvalue Computations Cell-Average Based Neural Network Method for Hunter-Saxton Equations A Buckley-Leverett Theory Based Lattice Boltzmann Method for Immiscible Two-Phase Flow with Viscous Coupling in Porous Media A Novel Construction of Distribution Function through Second-Order Polynomial Approximation in Terms of Particle Mass, Momentum and Energy
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1