Image edge detection method based on fractional order partial differential

A technology of image edge and detection method, which is applied in image analysis, image data processing, instruments, etc., can solve problems such as unsatisfactory detection effect, and achieve good detection effect and good image edge detection effect

Inactive Publication Date: 2013-08-14
CHONGQING JIAOTONG UNIVERSITY
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Problems solved by technology

[0006] However, the detection effect of existing image edge detection methods is not ideal, especially in the detection of image edges and texture details.

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  • Image edge detection method based on fractional order partial differential
  • Image edge detection method based on fractional order partial differential
  • Image edge detection method based on fractional order partial differential

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Embodiment Construction

[0023] The technical solutions of the present invention will be further described below in conjunction with the accompanying drawings and through specific implementation methods.

[0024] First, the Sobel operator is convolved with the 3×3 pixel neighborhood whose gray function is F(x, y), and then the convolution sum is obtained by the central difference to obtain the integer order differential expression. Then replace the integer-order differential with the v-order differential (0figure 1 , the corresponding differential mask as figure 2 .

[0025] Firstly, experiment by selecting different differential orders v, such as image 3 shown. (a) is the original image, (b) to (f) are the edge detection results obtained by selecting different fractional parameters of the model in this paper. When 0 image 3 (d) shown.

[0026] From Figure 4 It can be seen that the respective shortcomings of the Sobel operator, Canny operator, and LOG operator edge detection methods are not ea...

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Abstract

The invention discloses an image edge detection method based on fractional order partial differential, which comprises the following steps: the Sobel operator and a 3*3 pixel neighborhood with the gray-scale function of F (x, y) are subjected to convolution; the convolution sum is subjected to central difference to obtain an integral order differential expression; the integral order differential expression is replaced by a v order differential expression; based on definition of fractional differential, first three items of the fractional differential expression of a digital image substitute values in the v order differential expression; and different results can be obtained through regulation parameter, namely the differential order v. The method can satisfactorily extract edge contour information, has an excellent effect on texture detail detection, is superior to conventional edge detection methods, and satisfactorily achieves the purpose of image edge detection.

Description

technical field [0001] The invention relates to the field of image edge detection, in particular to an image edge detection method based on fractional partial differential. Background technique [0002] Image edge detection is one of the important topics in the field of digital image processing research. There are many existing image edge detection methods with their own advantages and disadvantages. [0003] Edge detection with Sobel operator is a kind of edge detection of partial differential method, and it is not a new edge detection method. Its basic detection principle is to directly use the horizontal gradient operator and the vertical gradient operator to calculate the pixel value, and then select the appropriate threshold to conduct simulation experiments to obtain the results. This method can be realized quickly on Matlab software, and has Ready-made program code. In the implementation process of this method, it is only necessary to enter the code, or even copy an...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T7/00
Inventor 蒋伟刘亚威邓朝晖杨永琴杨庭庭张恒
Owner CHONGQING JIAOTONG UNIVERSITY
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