Application of Non-integer Step and Fractional Order Differential Filter in the Image Enhancement
Jiliu Zhou · Journal of Sichuan University · 2011
In order to improve the effect of image enhancement,the fractional order differential filter based on non-integer step was constructed according to the image with the characteristics of high autocorrelation,which broke the idea that the step in the numerical calculation based on Grumwald-Letnikov definition was taken unit one.This method added a parameter named step on the basis of the traditional fractional order differential definitions.A good performance mask operator was attained by appropriately adjusting the size of step and order.The gray value of non-integer step pixel was got by the linear weighted method based on Lagrange interpolation polynomial,so it could play a role of denoising in the process of image enhancement.The experimental results showed that the method can make a better balance between enhancing image details and denoising.