In order to sharpen the image edge features while enhancing texture detail, the image enhancement model based on space rational-order derivative was constructed by the effective combination of integer-order theory and fractional-order calculus theory to derive the differential expression of rational-order partial differential, and the numerical of enhanced model was achieved using rational-order partial differential mask operator. The experimental results showed that compared with the fractional-order differential method , the image enhancement model can be obtained the effect of continuous variation, that not only enhanced image texture well, but also improved the edge enhancement effect. Objectively, using image edge evaluation parameters of texture features such as information entropy and average gradient for quantitative analysis and experimental verification shown that the new model combined the advantages of integer and fractional order differential to make up for their lack of own and achieved a good image enhancement results.
