This document discusses a proposed method for detecting number plates on images of fast moving vehicles that have been blurred due to motion. It begins with an introduction to image processing and digital images. It then discusses estimating the blur kernel caused by vehicle motion in order to model it as a linear uniform blur with parameters for angle and length. Existing related works on image deblurring are reviewed. The proposed system estimates the blur kernel parameters using sparse representation and Radon transform methods, allows deblurring the image, and then uses artificial neural networks to identify numbers and characters in the deblurred image. The system is evaluated on real blurred images and shown to improve license plate recognition compared to previous methods.