计算机科学 ›› 2018, Vol. 45 ›› Issue (11): 272-277.doi: 10.11896/j.issn.1002-137X.2018.11.043

• 图形图像与模式识别 • 上一篇    下一篇

用于图像分割的多分类高斯混合模型和基于邻域信息的高斯混合模型

柴五一, 杨丰, 袁绍锋, 黄靖   

  1. (南方医科大学生物医学工程学院广东省医学图像处理重点实验室 广州510515)
  • 收稿日期:2017-11-13 发布日期:2019-02-25
  • 作者简介:柴五一(1992-),硕士生,主要研究方向为图像处理,E-mail:1741647498@qq.com;杨 丰(1965-),教授,主要研究方向为生物医学信号处理、模式识别、机器学习,E-mail:yangf@smu.edu.cn(通信作者);袁绍锋(1991-),硕士生,主要研究方向为机器学习,E-mail:403568338@qq.com;黄 靖(1981-),副教授,主要研究方向为生物信息识别,E-mail:brinker149@126.com。
  • 基金资助:
    本文受国家自然科学基金项目(61771233,61271155)资助。

Multi-class Gaussian Mixture Model and Neighborhood Information BasedGaussian Mixture Model for Image Segmentation

CHAI Wu-yi, YANG Feng, YUAN Shao-feng, HUANG Jing   

  1. (Guangdong Provincial Key Laborary of Medical Image Processing,School of Biomedical Engineering, Southern Medical University,Guangzhou 510515,China)
  • Received:2017-11-13 Published:2019-02-25

摘要: 高斯混合模型是一种简单有效且被广泛使用的图像分割工具。然而,传统的高斯混合模型在混合成分个数确定时的拟合结果不够精确;此外,由于没有考虑像素间的空间关系,导致分割结果易受噪声干扰,且分割精度不高。为弥补传统高斯混合模型的缺陷,文中提出多分类高斯混合模型和基于邻域信息的高斯混合模型用于图像分割。多分类高斯混合模型对传统混合模型进行二重分解:传统混合模型由M个分布加权混合得到,多分类混合模型进一步将M个分布中的每一个分布分解成R个分布。即多分类高斯混合模型由M个高斯分布混合组成,而这M个分布分别由R个不同的分布混合得到,提高了模型的拟合精度。基于邻域信息的高斯混合模型通过对模型中的先验概率和后验概率添加空间信息约束,增强了像素间的信息关联和抗噪性。采用结构相似性、误分率和峰值信噪比等指标来评价分割结果。通过实验发现:与现有的混合模型分割方法相比,文中方法大幅提高了分割精度,且有效地抑制了噪声干扰。

关键词: 多分类, 高斯混合模型, 邻域信息, 图像分割

Abstract: Gaussian mixture model is one of the simple,effective and widely used tools in image segmentation.How-ever,the fitting result is not accurate enough when the number of mixture components in the traditional Gaussian mixture model is determined.In addition,because the spatial relationship between pixels is not considered,the segmentation results are easily affected by noise,and the segmentation accuracy is not high.To remedy the defects of the traditional Gaussian model,this paper proposed a multi-class Gaussianmixture model and a neighborhood information based Gaussianmixture model for image segmentation.The multi-class Gaussian mixture model decomposes the traditional mixture model.The traditional mixture model is composed of M different weighted distributions,and multi-class Gaussianmixture model decomposes each of the M components into R different distributions,that is,the multi-class Gaussian mixture model is composed of M different weighted distributions,and each of the M distributions is obtained by mixing R different distributions,thus improving the fitting accuracy of the model.The neighborhood information based Gaussianmixture model adds spatial information to the prior probability and posterior probability in the model,thus enhancing the information association and antinoise capability among pixels.The segmentation results were evaluated by the indexes of structural similarity,misclassification rate and peak signal-to-noise ratio.The experimental results show that compared with the existing segmentation method of mixture model,the segmentation accuracy of the proposed method in this paper is greatly improved,and the noise is effectively restrained.

Key words: Gaussian mixture model, Image segmentation, Multi-class, Neighborhood information

中图分类号: 

  • TP391
[1]WANG L X,XIE W X,PEI J H.Ocean borne image segmentation using muti Gaussian mixture model covering feature space learning[J].Transactions of Electronics,2014,42(10):2117-2122.(in Chinese)
王荔霞,谢维信,裴继红.多高斯模型特征空间覆盖学习的海洋航摄图像分割[J].电子学报,2014,42(10):2117-2122.
[2]SUN Q S,JI Z X.Overview of brain magnetic resonance image segmentation algorithms based on fuzzy clustering [J].Data Acquisition and Processing,2016,31(1):28-42.(in Chinese)
孙权森,纪则轩.基于模糊聚类的脑磁共振图像分割算法综述[J].数据采集与处理,2016,31(1):28-42.
[3]ZHANG M H,GUO Z W,LIU Y.Segmentation algorithm based on mixture model for SAR images of land and sea [J].Photoelectron.Laser,2017,28(3):326-333.(in Chinese)
张苗辉,郭拯危,刘扬.基于混合模型的 SAR 影像海陆分割算法[J].光电子.激光,2017,28(3):326-333.
[4]ZHANG L,GAN C S,HU Y.Research on ship detection algorithms for high resolution optical remote sensing images [J].Computer Engineering and Applications,2017,53(9):184-189.(in Chinese)
张雷,甘春生,胡宇.高分辨率光学遥感影像舰船检测算法研究[J].计算机工程与应用,2017,53(9):184-189.
[5]章毓晋.图像分割[M].北京:科学出版社,2001.
[6]CAI W L.Research on image segmentation and classifier design based on clustering [D].Nanjing:Nanjing University of Aeronautics & Astronautics,2008.(in Chinese)
蔡维玲.基于聚类的图像分割和分类器设计的研究[D].南京:南京航空航天大学,2008.
[7]ZHAO Q H,SHI X,WANG Y,et al.Remote sensing image segmentation by Gaussian mixture model with variable spatial constraint [J].Journal of Communications,2017,38(2):34-43.(in Chinese)
赵泉华,石雪,王玉,等.可变类空间约束高斯混合模型遥感图像分割[J].通信学报,2017,38(2):34-43.
[8]SANJAY-GOPAL S,HEBERT T J.Bayesian pixel classification using spatially variant finite mixtures and the generalized EM algorithm [J].IEEE Transactions on Image Processing,1998,7(7):1014-1028.
[9]NIKOU C,GALATSANOS N P,LIKAS A C.A class-adaptive spatially variant mixture model for image segmentation [J].IEEE Transactions on Image Processing,2007,16(4):1121-1130.
[10]YANG Y F.Research on application of medical image segmentation algorithms based on finite mixture model[D].Nanjing:Southeast University,2015.(in Chinese)
杨云飞.基于有限混合模型的医学图像分割算法应用研究[D].南京:东南大学,2015.
[11]ZHANG H,WU Q M J,NGUYEN T M.Incorporating mean template into finite mixture model for image segmentation [J].IEEE Transactions on Neural Networks and Learning Systems,2013,24(2):328-335.
[12]PRAKASH R M,KUMARI R S S.Gaussian Mixture Model with the Inclusion of Spatial Factor and Pixel Re-labelling:Application to MR Brain Image Segmentation [J].Arabian Journal for Science & Engineering,2017,42(2):595-605.
[13]VEGAS-SANCHEZ-FERRERO G,SEABRA J,RODRIGUEZ-LEOR O,et al.Gamma mixture classifier for plaque detection in intravascular ultrasonic images[J].IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control,2014,61(1):44-61.
[14]COPSEY K,WEBB A.Bayesian gamma mixture model approach to radar target recognition [J].IEEE Transactions on Aerospace and Electronic Systems,2003,39(4):1201-1217.
[15]QIN Y,PRIEBE C E.Maximum L q-Likelihood Estimation via the Expectation-Maximization Algorithm:A Robust Estimation of Mixture Models [J].Journal of the American Statistical Association,2013,108(503):914-928.
[16]COMER M,BOUMAN C A,DE GRAEF M,et al.Bayesian methods for image segmentation [J].JOM Journal of the Mi-nerals,Metals and Materials Society,2011,63(7):55-57.
[17]ZHANG M.Bilateral filter in image processing [J].Applied Surface Science,2006,253(2):468-475.
[18]MARTIN D,FOWLKES C,TAL D,et al.A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics[C]∥Proceeding of International Conference on Computer Vision.2001:416-423.
[1] 陈景年.
一种适于多分类问题的支持向量机加速方法
Acceleration of SVM for Multi-class Classification
计算机科学, 2022, 49(6A): 297-300. https://doi.org/10.11896/jsjkx.210400149
[2] 祝一帆, 王海涛, 李可, 吴贺俊.
一种高精度路面裂缝检测网络结构:Crack U-Net
Crack U-Net:Towards High Quality Pavement Crack Detection
计算机科学, 2022, 49(1): 204-211. https://doi.org/10.11896/jsjkx.210100128
[3] 叶中玉, 吴梦麟.
融合时序监督和注意力机制的脉络膜新生血管分割
Choroidal Neovascularization Segmentation Combining Temporal Supervision and Attention Mechanism
计算机科学, 2021, 48(8): 118-124. https://doi.org/10.11896/jsjkx.200600150
[4] 金海燕, 彭晶, 周挺, 肖照林.
基于Graph Cuts多特征选择的双目图像分割方法
Binocular Image Segmentation Based on Graph Cuts Multi-feature Selection
计算机科学, 2021, 48(8): 150-156. https://doi.org/10.11896/jsjkx.200800221
[5] 许华杰, 张晨强, 苏国韶.
基于深层卷积残差网络的航拍图建筑物精确分割方法
Accurate Segmentation Method of Aerial Photography Buildings Based on Deep Convolutional Residual Network
计算机科学, 2021, 48(8): 169-174. https://doi.org/10.11896/jsjkx.200500096
[6] 杨秀璋, 武帅, 夏换, 于小民.
基于自适应图像增强技术的水族文字提取与识别研究
Research on Shui Characters Extraction and Recognition Based on Adaptive Image Enhancement Technology
计算机科学, 2021, 48(6A): 74-79. https://doi.org/10.11896/jsjkx.200900070
[7] 邹承明, 陈德.
高维大数据分析的无监督异常检测方法
Unsupervised Anomaly Detection Method for High-dimensional Big Data Analysis
计算机科学, 2021, 48(2): 121-127. https://doi.org/10.11896/jsjkx.191100141
[8] 曹林, 于威威.
基于图像分割的自适应窗口双目立体匹配算法研究
Adaptive Window Binocular Stereo Matching Algorithm Based on Image Segmentation
计算机科学, 2021, 48(11A): 314-318. https://doi.org/10.11896/jsjkx.201200264
[9] 顾兴健, 朱剑峰, 任守纲, 熊迎军, 徐焕良.
多尺度U网络实现番茄叶部病斑分割与识别
Multi-scale U Network Realizes Segmentation and Recognition of Tomato Leaf Disease
计算机科学, 2021, 48(11A): 360-366. https://doi.org/10.11896/jsjkx.201000166
[10] 王卫东, 徐金慧, 张志峰, 杨习贝.
基于密度峰值聚类的高斯混合模型算法
Gaussian Mixture Models Algorithm Based on Density Peaks Clustering
计算机科学, 2021, 48(10): 191-196. https://doi.org/10.11896/jsjkx.200800191
[11] 刘肖, 袁冠, 张艳梅, 闫秋艳, 王志晓.
基于自适应多分类器融合的手势识别
Hand Gesture Recognition Based on Self-adaptive Multi-classifiers Fusion
计算机科学, 2020, 47(7): 103-110. https://doi.org/10.11896/jsjkx.200100073
[12] 杨志伟, 戴铭, 周智恒.
基于直方图差异的工业产品表面缺陷检测方法
Surface Defect Detection Method of Industrial Products Based on Histogram Difference
计算机科学, 2020, 47(6A): 247-249. https://doi.org/10.11896/JsJkx.191000049
[13] 曹义亲, 段也钰, 武丹.
基于WFSOA的2D-Otsu钢轨缺陷图像分割方法
2D-Otsu Rail Defect Image Segmentation Method Based on WFSOA
计算机科学, 2020, 47(5): 154-160. https://doi.org/10.11896/jsjkx.190200295
[14] 饶梦,苗夺谦,罗晟.
一种粗糙不确定的图像分割方法
Rough Uncertain Image Segmentation Method
计算机科学, 2020, 47(2): 72-75. https://doi.org/10.11896/jsjkx.190500177
[15] 雷涛,连倩,加小红,刘鹏.
基于快速SLIC的图像超像素算法
Fast Simple Linear Iterative Clustering for Image Superpixel Algorithm
计算机科学, 2020, 47(2): 143-149. https://doi.org/10.11896/jsjkx.190400121
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!