Restoration of radially blurred image created by spherical single lens system of cell phone camera

In this research, a method is proposed to restore the radially blurred image which is produced by a spherical double-convex single lens imaging system designed for cell phone cameras. This is a new study because the pieces of lens for cell phone camera has reduced to one compared to the widely accepted compound lens system that uses several pieces of lens nowadays. However, single lens imaging system introduces stronger aberrations than compound lens system, especially the radially increased blurring effect. To deal with it, a novel method is studied that restore the blurred image by deconvolving polar blurred image and polar Point Spread Functions (PSFs) converted from Cartesian coordinate system. Simulation results suggest the proposed method is applicable to both computer-created gray scale test image and natural color photographs.