A fingerprint processing system comprises a fingerprint sensor configured to generate an image of a fingerprint, and a processor configured to process the fingerprint image. The processor is operable to generate a ridge flow map comprising ridge flow vectors characterizing the fingerprint, and a multi-layer decomposition based on the ridge flow vectors. The decomposition includes at least first and second-order residuals, based on the ridge flow vectors, and the processor is operable to characterize a quality of the fingerprint image, based on the residuals.