Abstract: Based on the characteristic of the fingerprint，after making some changes on the morphological component analysis and combining the MCA with the harris corner detector，it puts forward a fingerprint separation algorithm.This algorithm is based on the basis pursuit denosing algorithm.Firstly，it uses two same dictionaries to represent sparsely the overlapping fingerprint image or the mixture of the finger and the texture background，then shrinks the sparse coefficients with the soft thresh.After this，minimizes the harris-like operator of the two separating texture images respectively using gradient descending algorithm，to make the coners of the two images minimized.Lastly，it implements total variation regulation on one of the two separating images to achieve separation.Experimentation results indicate that this algorithm can realize fingerprint separation.