We present an optical design for a fingerprint scanner that addresses the challenges involved in capturing the prints of rolling fingers. A rolling fingerprint scanner requires a high performance distortion free system with big object space numerical aperture (0.022) and larger capture size (40 \times 40 (mm)). We show how these requirements can be achieved with the approach of optical and computational hybrid distortion correction. In addition, dark background illumination is utilized to increase fingerprint contrast.