Image sharpening method based on anti-heat conduction equation and Sobel operator

Enliang Zhao; Lihua Sun; Changtao Wang; Xinghua Xia

doi:10.1117/12.2032062

26 October 2013 Image sharpening method based on anti-heat conduction equation and Sobel operator

Enliang Zhao, Lihua Sun, Changtao Wang, Xinghua Xia

Proceedings Volume 8921, MIPPR 2013: Remote Sensing Image Processing, Geographic Information Systems, and Other Applications; 89211F (2013) https://doi.org/10.1117/12.2032062
Event: Eighth International Symposium on Multispectral Image Processing and Pattern Recognition, 2013, Wuhan, China

Abstract

The paper studies effective ways to sharpen images by using of partial differential equation and the classical image sharpening operators. Based on the physical meaning of heat equation, by regarding the gray values of an image as the temperature on a flat object, a model on anti-heat equation is obtained. Under the assumptions of the blurred image is the result of the original image filtered by the heat equation and the time t is small enough, we establish a model for image sharpening, which is solved by means of Sobel operator. The results of numerical experiments show that the method can make the image sharper and obtain clearer image. Sharpened image hasn’t moved information, at the same time noise doesn’t appear, it does keep the edges and details in the original image. The algorithm maintains stably over a long time, that is, the sharpened image does not been blurred again with the increase of the number of iterations.

Citation Download Citation

Enliang Zhao, Lihua Sun, Changtao Wang, and Xinghua Xia "Image sharpening method based on anti-heat conduction equation and Sobel operator", Proc. SPIE 8921, MIPPR 2013: Remote Sensing Image Processing, Geographic Information Systems, and Other Applications, 89211F (26 October 2013); https://doi.org/10.1117/12.2032062

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KEYWORDS

Image enhancement

Image segmentation

Image filtering

Image compression

Image processing

Fuzzy logic

Partial differential equations

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