Fractional Differential Applied To The Study Of Edge Detection

Fractional calculus is an integer-order calculus operations to promote it under the ordinary meaning of the operator calculus operation extended to order them from an integer fraction of. As computing technology development and application of fractional calculus operators in-depth study and exploration, fractional calculus at home and abroad has become a research hotspot in many fields has played an increasingly important role.The edge of the image reflects the basic features of the image, in the medical field, medical image edge detection in medical image processing and analysis of key steps, which directly affects the clarity of the speed and accuracy of medical diagnosis. In this paper, fractional calculus of basic theories and methods, on the basis of the existing literature is presented an improved algorithm based on fractional calculus of the image edge detection method, not only effectively extract the image edge features, but also won the better anti-noise performance. In this paper, are as follows:(1) a comprehensive description and analysis of fractional calculus to the basic theory, and fractional calculus and integer-order calculus compared.(2) describes the edge detection as well as traditional image edge detection methods, and simulation experiments.(3) the use of fractional order differential applied to the image edge detection theory analysis of the fractional order differential than the integer-order differential edge information is more conducive to extract the advantages of the image, and from the basic fractional derivative definition, the use of partial differential formula derived can be applied to the image template of fractional differential mask, Achieve fractional order differential operator.(4) in the MATLAB platform to achieve differentiation based on fractional order for medical image edge detection algorithm of the simulation, to achieve the characteristics of the use of fractional order differential in the effective extraction medical image edge features at the same time reduce the noise to get compared to integer-order differential The classical edge detection method has better results for medical image edge information, but also by the order of fractional differential adjustment of the best medical image edge information.Summary full text of this innovation points:(1) will act on the order of the image of the differential from the Integer extended to the scores; and the use of partial differential equation is derived fractional differential mask template;(2) fractional differential mask operator on the MATLAB platform to achieve medical image edge detection; by different algorithms extract the image edge information, comparison, draw the image based on fractional order differentiation advantages of edge detection, and through on the order of fractional differential adjustment has been the best medical image edge information.