Fractional differential image enhancement based on space weight

The theoretical analysis shows that fractional differential can greatly improve high frequency, reinforce medium frequency and non-linearly preserve low frequency of signals, hence they could be used for edge and texture enhancement as well as smooth area preservation.In this paper, a new covering template and algorithm for fractional differential image enhancement based on space weight (Fdsw) are discussed. Firstly, pixel neighbourhood relations are acquired from adopting Caputo and Riemann-Liouville fractional differential. Secondly,covering template coefficients of space weight are constructed in accordance with pixel neighbourhood relations. Constructing fractional differential template holds isotropic characteristic, and covering template coefficients are indispensable to renormalize. Finally, covering template moves on the unprocessed image point by point, then corresponding pixel value is summed. Experiments show that the new method has excellent feedback for enhancing the textural details of rich-grained digital images.