基于分形截距特征多尺度图像边缘检测技术及应用
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摘要
分形概念的提出及分形几何学的创立,为人们描述客观世界提供了更准确的数学模型,引起了自然科学领域和社会科学领域的普遍关注,并在化学、生物学、天文学等诸多领域中得到了广泛的应用。由于分形集可以用简单的迭代方法生成复杂的自然景物、用分数维有效度量物体的复杂性,因此分形与图像之间存在着一种自然联系,而正是这种联系,奠定了分形理论用于图像处理的基础,开辟了分形理论在图像处理中应用的新领域。目前分形在图像中的应用大致可以概括为两类;一类是利用分形的自相似特征,采用映射变换的方法对自然界景物进行仿真,对图像进行压缩编码;另一类是根据分形及分数维的特征参量来建立模型,通过对模型参数的研究,有效地进行图像分析和处理。
Fractal and fractal gometry provide a more exact mathematical model to describe the external world,which broke though the situation limited to Euclid geometry and have drawn much attention from chemists,mathematicians,physicists in various disciplines.Fractal sets can be iterated to produce complex nature objects and fractal dimension can be used to measure the complexity of objects,so between fractal and image there lies a natural relation,which make it possible to process image based on fractal theory.At present the fractal based applications in domain are approximately classifiec into two categories:according to the characteristic of self-similat of fractal,people imitate and compress the natural image using mapping transformation method.This is one category.The other is according to the features of fractal and fractal dimension,people set up image models,investigate the main geometric features of the images and process them effectively.
Fractal and fractal gometry provide a more exact mathematical model to describe the external world,which broke though the situation limited to Euclid geometry and have drawn much attention from chemists,mathematicians,physicists in various disciplines.Fractal sets can be iterated to produce complex nature objects and fractal dimension can be used to measure the complexity of objects,so between fractal and image there lies a natural relation,which make it possible to process image based on fractal theory.At present the fractal based applications in domain are approximately classifiec into two categories:according to the characteristic of self-similat of fractal,people imitate and compress the natural image using mapping transformation method.This is one category.The other is according to the features of fractal and fractal dimension,people set up image models,investigate the main geometric features of the images and process them effectively.
引文
[1]B.B.Mandelbrot.Fractals:form,chance,anddimension.Cali-formia:Freeman,1977.
[2]B.B.Mandelbrot.The Fractal Geometry of Nature.California:Freeman,1982.
[3]李后强、汪富泉,分形理论及其在分子科学中的应用,北京:科学出版社,1997.
[4]王东生、曹磊,混沌、分形及其应用,合肥:中国科技大学出版社,1995.
[5]李介谷,图像处理技术,上海:上海交通大学出版社,1988.
[6]马颂德,张正友,计算机视觉,北京:科学出版社,1998.
[7]章毓晋,图像处理和分析,北京:清华大学出版社,1999.
[8]宋芳莉,图像边缘检测中的方法研究,西北大学硕士学位论文,2002:42-45.
[9]KrantzS G,Mandelbrot BB.数学译林,章祥荪译,1992,11(4):337-345.
[10]尹平、王润生,多尺度边缘检测技术的分类及比较,计算机工程与科学,1998,02,20(1):16-21.
[11]王涛,模糊多尺度边缘检测方法的研究与应用,华北电力大学,2006,5.
[12]贺振华、黄捍东、胡光岷、王成祥、黄德济,地下介质横向变化的地震多尺度边缘检测技术,物探化探计算技术,1999,11,21(4):290-294.
[13]王兴建,曹俊兴,李学民,郑圻森,基于分形理论的地震裂缝检测方法,石油物探,2003,06,42(2):192-195.
[14]何传江,分形图像编码技术的算法研究,重庆大学,2004,4.
[15]李爱涛,分形图像压缩编码的研究,重庆邮电学院,2004,5.
[16]何传江,分形维数及其在图像编码和边缘检测中的应用.重庆大学,2006,5.
[17]甘龙,分形理论及其在图像边缘检测中的应用研究,合肥工业大学,2003,4.
[18]安宁、林树忠、刘海华、崔慧,图像处理方法研究及其应用,仪器仪表学报,Vol.27No.6June,2006:792-793.
[2]B.B.Mandelbrot.The Fractal Geometry of Nature.California:Freeman,1982.
[3]李后强、汪富泉,分形理论及其在分子科学中的应用,北京:科学出版社,1997.
[4]王东生、曹磊,混沌、分形及其应用,合肥:中国科技大学出版社,1995.
[5]李介谷,图像处理技术,上海:上海交通大学出版社,1988.
[6]马颂德,张正友,计算机视觉,北京:科学出版社,1998.
[7]章毓晋,图像处理和分析,北京:清华大学出版社,1999.
[8]宋芳莉,图像边缘检测中的方法研究,西北大学硕士学位论文,2002:42-45.
[9]KrantzS G,Mandelbrot BB.数学译林,章祥荪译,1992,11(4):337-345.
[10]尹平、王润生,多尺度边缘检测技术的分类及比较,计算机工程与科学,1998,02,20(1):16-21.
[11]王涛,模糊多尺度边缘检测方法的研究与应用,华北电力大学,2006,5.
[12]贺振华、黄捍东、胡光岷、王成祥、黄德济,地下介质横向变化的地震多尺度边缘检测技术,物探化探计算技术,1999,11,21(4):290-294.
[13]王兴建,曹俊兴,李学民,郑圻森,基于分形理论的地震裂缝检测方法,石油物探,2003,06,42(2):192-195.
[14]何传江,分形图像编码技术的算法研究,重庆大学,2004,4.
[15]李爱涛,分形图像压缩编码的研究,重庆邮电学院,2004,5.
[16]何传江,分形维数及其在图像编码和边缘检测中的应用.重庆大学,2006,5.
[17]甘龙,分形理论及其在图像边缘检测中的应用研究,合肥工业大学,2003,4.
[18]安宁、林树忠、刘海华、崔慧,图像处理方法研究及其应用,仪器仪表学报,Vol.27No.6June,2006:792-793.
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