材料图像的解析性及边缘提取的复分析方法
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- 英文论文题名：On local analyticities and an analytic method of edge detection of material images
- 论文作者：丁广太 ; 刘奇 ; 张惠然 ; 韩越兴 ; 钱权
- 英文论文作者：DING Guang-tai ; LIU Qi ; ZHANG Hui-ran ; HAN Yue-xing ; QIAN Quan ; School of Computer Engineering and Science ; Shanghai University ; Materials Genome Institute of Shanghai University
- 年：2016
- 作者机构：上海大学计算机工程与科学学院;上海大学材料基因组工程研究院;
- 论文关键词：材料图像低层特征 ; 局部解析性 ; Cauchy积分 ; 陶瓷 ; 铁素体
- 英文论文关键词：low-level features of material images ; local analyticity ; Cauchy-type integral ; ceramic image ; ferrite image
- 会议召开时间：2016-08-16
- 会议录名称：第十届全国材料科学与图像科技学术会议暨校地企产学研合作创新论坛论文摘要集
- 语种：中文
- 分类号：TP391.41
- 学会代码：EGTA
- 会议名称：第十届全国材料科学与图像科技学术会议暨校地企产学研合作创新论坛
- 会议地点：中国河南洛阳
- 主办单位：中国体视学学会材料科学分会、中国金属学会材料科学分会
- 学会名称：中国体视学学会
- 页数：9
- 文件大小：2594k
- 原文格式：O
- 会议级别：全国
摘要
本文聚焦图像低层特征尺度不变性和边缘提取准确性等几个图像分析核心问题,旨在建立分析材料显微组织结构的复分析理论和方法.首先,基于复分析的Cauchy型积分理论,定义材料图像函数的局部解析性,将图像特征提取问题转换为图像函数的解析性的奇异性检测问题.其中,以围道积分路径的几何形态和属性体现空间尺度属性,以各阶Cauchy型积分值构造的特征向量定义图像局部解析性.其次,讨论不同围道积分路径几何形态下图像函数解析性的数值计算方法,设计Cauchy型积分快速计算算法.最后,对几种陶瓷和铸铁材料,研究材料显微组织结构图像的解析性和边缘提取算法效率,基于数据实验验证本文提出的理论设想,并与其它算法进行效力比对.为统一各种能够表达空间尺度属性的材料显微组织结构图像的低层特征提取方法,本文的研究是一种尝试.
This paper focuses on the scale invariant low-level features of material images and the accuracy of edge detection algorithms of images in order to establish complex analysis theory and an analytic method for analyzing and expressing material micro-structures.Firstly,based on the Cauchy-type integral theory,the local analyticities of the material image functions are defined.And the image feature extraction problem is converted into the problem of singularity detection of the analytic function of the image.The geometric shapes and properties of the integral paths relate the spatial scales,and the local analyticities of the images are defined by the characteristic vectors of the Cauchy-type integral values of finite orders.Secondly,a numerical method of the analytic image functions is discussed,and a fast computational algorithm of the Cauchy-type integrals is designed.Finally,several ceramic and ferrite material images are considered to validate the efficiency of the material micro-structure image edge detection algorithm proposed in this paper.And based on experimental data,the proposed theoretical assumptions are validated,and the edge detection algorithm is compared with other algorithms as well.The research of this paper is an attempt to unify the low level feature extraction methods of the material images with different spatial scale properties.
This paper focuses on the scale invariant low-level features of material images and the accuracy of edge detection algorithms of images in order to establish complex analysis theory and an analytic method for analyzing and expressing material micro-structures.Firstly,based on the Cauchy-type integral theory,the local analyticities of the material image functions are defined.And the image feature extraction problem is converted into the problem of singularity detection of the analytic function of the image.The geometric shapes and properties of the integral paths relate the spatial scales,and the local analyticities of the images are defined by the characteristic vectors of the Cauchy-type integral values of finite orders.Secondly,a numerical method of the analytic image functions is discussed,and a fast computational algorithm of the Cauchy-type integrals is designed.Finally,several ceramic and ferrite material images are considered to validate the efficiency of the material micro-structure image edge detection algorithm proposed in this paper.And based on experimental data,the proposed theoretical assumptions are validated,and the edge detection algorithm is compared with other algorithms as well.The research of this paper is an attempt to unify the low level feature extraction methods of the material images with different spatial scale properties.
引文
[1]符锡仁;郭祝崑,陶瓷的显微结构与性能Ⅱ.陶瓷的显微结构对某些性能的影响硅酸盐学报1982-03-02
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[3]宋晓艳.体视学-图像分析与计算材料学之间的关系及进展[J].中国体视学与图像分析,2008,13(4):280-285
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[8]刘国权,张禹,秦湘阁,安希中,刘俊友材料显微组织三维观测与基于图像的模型研究[J].中国体视学与图像分析,2001,6(1):46-49
[9]L.Duval,M.Moreaud,C.Couprie,D.Jeulin,H.Talbot,J.Angulo,Image Processing For Materials Characterization:Issues,Challenges And Opportunities[C].ICIP 2014:IEEE International Conference on Image Processing Special session on Image Processing for Materials Characterization.2014:4863-4866.
[10]P.Belhomme,D.Houivet,W.Lecluse,J.M.Haussonne,"Image analysis of multiphased ceramics",Journal of the European Ceramic Society,21,pp.2149-2151,2001.
[11]W.Wang,"Image segmentation of irregular shape grains on ceramic material surfaces",the Computer Graphics,Imaging and Vision:New Trends,CGIV'05,pp.49-54,2005.
[12]D.E.R.Winkler,T.E.M.Staab,T.M.M(u|¨)ller,F.G.Raether,"Using a novel microstructure generator to calculate macroscopic properties of multi-phase non-oxide ceramics in comparison to experiments",Ceramics International,42,pp.325-333,2016.
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[14]W.Mokrzycki,M.Samko,"Canny edge detection algorithm modification",In Proceedings of ICCVG 2012,Lecture Notes in Computer Science,v7594 LNCS,pp.533-540,2012.
[15]K.A.Panetta,S.S.Agaian,S.C.Nercessian,A.A.Atmunstashri,"Shape-dependent canny edge detector".Opt.Eng.50(8),087008,August 08,2011.
[16]S.Wang,S.Sun,Q.Guo,F.Dong,C.Zhou,"Image edge detection based on rotating kernel transformation",2014 7th International Congress on Image and Signal Processing(CISP),pp.397-402,2014.
[17]H.Shi,R.Ward,"Canny edge based image expansion",In Proceedings of IEEE International Symposium on Circuits and Systems,v1,pp.I/785-I/788,2002
[18]A.A.Rashid,"On Taylor coefficients of Cauchy-type integrals of finite complex measures",Complex Variables and Elliptic Equations,60:12,pp.1727-1738,2015.
[19]H.Cai and M.S.Zhdanov,"Modeling and Inversion of Magnetic Anomalies Caused by Sediment—Basement Interface Using Three-Dimensional Cauchy-Type Integrals",IEEE Geoscience and Remote Sensing Letters,12:3,pp.477-481,2015.
[20]L.Tian,S.Kamata,Y.Kuroki,Y.Ugeshige,"A new image matching algorithm for change detection using Hilbert curve",56th International Astronautical Congress2005,v3,pp.1432-1437,2005.
[21]G.M.Livadas,A.G.Constantinides,"Image Edge Detection And Segmentation Based On The Hilbert Transform",In Proceedings of ICASSP,IEEE International Conference on Acoustics,Speech and Signal Processing,pp.1152-1155,1988
[22]C.H.Fang,W.S.Lin,"Two-dimensional shape recognition with Cosine Transform-Based Synthesized Affine Invariant Function",IEEE International Conference on Systems,Man and CybernSetics,2007,pp.1072-1076,2007.
[23]R.C.Gonzalez,RE.Woods,Digital Image Processing,Third Edition,Pearson Education,Inc,Prentice Hall,2010.
[24]D.Daut,R.Fries,J.Modestino,"Two-Dimensional DPCM Image Coding Based on an Assumed Stochasticlmage Model",IEEE Transactions on Communications,IEEE Transactions on,Volume:9,Issue:9,pp.1365-1374,1981.
[25]P.P.Vaidyanathan,"Generalizations of the sampling theorem:Seven decades after Nyquist",IEEE Transactions on Circuits and Systems I:Fundamental Theory and Applications,Volume:48,Issue:9,pp.1094-1109,2001.
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[27]R.Kirsch,"Computer determination of the constituent structure of biological images",Computers and Biomedical Research,4,pp.315-328,1971.
[28]D.Martin,C.Fowlkes,D.Tal,J.Malik,"A Database of Human Segmented Natural Images and its Application to Evaluating Segmentation Algorithms and Measuring Ecological Statistics",In Proceedings of MartinFTM01,Proc.8th Int'l Conf.Computer Vision,Vol.2,pp.416-423,July 2001.
[29]路见可.解析函数边值问题上海:上海科技出版社,1987
[2]刘国权,刘胜新,黄启今等.金相学和材料显微组织定量分析技术[J].中国体视学与图像分析,2002,7(4):248-251.
[3]宋晓艳.体视学-图像分析与计算材料学之间的关系及进展[J].中国体视学与图像分析,2008,13(4):280-285
[4]徐建林,路阳,李文生,王智平,朱小武.体视学与图像分析技术在材料科学中的应用[J].金属热处理,2005,4:7-10
[5]郭可信.金相学史话(1):金相学的兴起[J].材料科学与工程,2000,20(1):4-9
[6]郭可信.金相学史话(6):电子显微镜在材料科学中的应用[J].材料科学与工程,2002,20(1):6-10
[7]刘国权.材料三维显微组织形态研宄进展与展望.理论与应用研究[J].2000,9(Supplement):148-153
[8]刘国权,张禹,秦湘阁,安希中,刘俊友材料显微组织三维观测与基于图像的模型研究[J].中国体视学与图像分析,2001,6(1):46-49
[9]L.Duval,M.Moreaud,C.Couprie,D.Jeulin,H.Talbot,J.Angulo,Image Processing For Materials Characterization:Issues,Challenges And Opportunities[C].ICIP 2014:IEEE International Conference on Image Processing Special session on Image Processing for Materials Characterization.2014:4863-4866.
[10]P.Belhomme,D.Houivet,W.Lecluse,J.M.Haussonne,"Image analysis of multiphased ceramics",Journal of the European Ceramic Society,21,pp.2149-2151,2001.
[11]W.Wang,"Image segmentation of irregular shape grains on ceramic material surfaces",the Computer Graphics,Imaging and Vision:New Trends,CGIV'05,pp.49-54,2005.
[12]D.E.R.Winkler,T.E.M.Staab,T.M.M(u|¨)ller,F.G.Raether,"Using a novel microstructure generator to calculate macroscopic properties of multi-phase non-oxide ceramics in comparison to experiments",Ceramics International,42,pp.325-333,2016.
[13]S.Banerjee,S.Datta,B.Paul,S.K.Saha,"Segmentation of three phase micrograph:an automated approach",CUBE'12:Proceedings of the CUBE International Information Technology Conference,pp.1-4,ACM,2012.
[14]W.Mokrzycki,M.Samko,"Canny edge detection algorithm modification",In Proceedings of ICCVG 2012,Lecture Notes in Computer Science,v7594 LNCS,pp.533-540,2012.
[15]K.A.Panetta,S.S.Agaian,S.C.Nercessian,A.A.Atmunstashri,"Shape-dependent canny edge detector".Opt.Eng.50(8),087008,August 08,2011.
[16]S.Wang,S.Sun,Q.Guo,F.Dong,C.Zhou,"Image edge detection based on rotating kernel transformation",2014 7th International Congress on Image and Signal Processing(CISP),pp.397-402,2014.
[17]H.Shi,R.Ward,"Canny edge based image expansion",In Proceedings of IEEE International Symposium on Circuits and Systems,v1,pp.I/785-I/788,2002
[18]A.A.Rashid,"On Taylor coefficients of Cauchy-type integrals of finite complex measures",Complex Variables and Elliptic Equations,60:12,pp.1727-1738,2015.
[19]H.Cai and M.S.Zhdanov,"Modeling and Inversion of Magnetic Anomalies Caused by Sediment—Basement Interface Using Three-Dimensional Cauchy-Type Integrals",IEEE Geoscience and Remote Sensing Letters,12:3,pp.477-481,2015.
[20]L.Tian,S.Kamata,Y.Kuroki,Y.Ugeshige,"A new image matching algorithm for change detection using Hilbert curve",56th International Astronautical Congress2005,v3,pp.1432-1437,2005.
[21]G.M.Livadas,A.G.Constantinides,"Image Edge Detection And Segmentation Based On The Hilbert Transform",In Proceedings of ICASSP,IEEE International Conference on Acoustics,Speech and Signal Processing,pp.1152-1155,1988
[22]C.H.Fang,W.S.Lin,"Two-dimensional shape recognition with Cosine Transform-Based Synthesized Affine Invariant Function",IEEE International Conference on Systems,Man and CybernSetics,2007,pp.1072-1076,2007.
[23]R.C.Gonzalez,RE.Woods,Digital Image Processing,Third Edition,Pearson Education,Inc,Prentice Hall,2010.
[24]D.Daut,R.Fries,J.Modestino,"Two-Dimensional DPCM Image Coding Based on an Assumed Stochasticlmage Model",IEEE Transactions on Communications,IEEE Transactions on,Volume:9,Issue:9,pp.1365-1374,1981.
[25]P.P.Vaidyanathan,"Generalizations of the sampling theorem:Seven decades after Nyquist",IEEE Transactions on Circuits and Systems I:Fundamental Theory and Applications,Volume:48,Issue:9,pp.1094-1109,2001.
[26]Quanjing,Annual Rings,TOP-594306,http://www.quanjing.com/share/TOP-594306 html.
[27]R.Kirsch,"Computer determination of the constituent structure of biological images",Computers and Biomedical Research,4,pp.315-328,1971.
[28]D.Martin,C.Fowlkes,D.Tal,J.Malik,"A Database of Human Segmented Natural Images and its Application to Evaluating Segmentation Algorithms and Measuring Ecological Statistics",In Proceedings of MartinFTM01,Proc.8th Int'l Conf.Computer Vision,Vol.2,pp.416-423,July 2001.
[29]路见可.解析函数边值问题上海:上海科技出版社,1987