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fractional differential approach to detecting textural features of digital image and its fractional differential filter implementation

引用

Science in China(Series F) 2008年第9期51卷 1319-1339页

作者： PU YiFei WANG WeiXing ZHOU JiLiu WANG YiYang JIA HuaDing School of Computer Science and Technology Sichuan University Chengdu 610064 China School of Electronic Engineering University of Electronic Science and Technology of China Chengdu610054 China Academie des Sciences de I'lnstitue de France 28 rue Saint-Dominique 75007 Paris France Laboratoire de I'IADI ERI (INSERM-UHP) au CHU de Nancy Brabois Universite Henri Poincare(Nancy I)54511 Vandoeuvre les Nancy France School of Electronics and Information Sichuan University Chengdu 610064 China

This paper mainly discusses fractional differential approach to detecting textural features of digital image and its fractional differential filter. Firstly, both the geo- metric meaning and the kinetic physical meaning of fractional differential are clearly explained in view of information theory and kinetics, respectively. Secondly, it puts forward and discusses the definitions and theories of fractional stationary point, fractional equilibrium coefficient, fractional stable coefficient, and fractional grayscale co-occurrence matrix. At the same time, it particularly discusses frac- tional grayscale co-occurrence matrix approach to detecting textural features of digital image. Thirdly, it discusses in detail the structures and parameters of nxn any order fractional differential mask on negative x-coordinate, positive x-coordi- nate, negative y-coordinate, positive y-coordinate, left downward diagonal, left upward diagonal, right downward diagonal, and right upward diagonal, respectively. Furthermore, it discusses the numerical implementation algorithms of fractional differential mask for digital image. Lastly, based on the above-mentioned discus- sion, it puts forward and discusses the theory and implementation of fractional differential filter for digital image. Experiments show that the fractional differential-based image operator has excellent feedback for enhancing the textural details of rich-grained digital images.

关键词： fractional stationary point fractional equilibrium coefficient fractional stable coefficient fractional grayscale co-occurrence matrix fractional differential mask

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