Invertible Motion Blur in Video

The authors show that motion blur in successive video frames is invertible even if the Point-Spread Function (PSF) due to motion smear in a single photo is non-invertible. Blurred photos exhibit nulls (zeros) in the frequency transform of the PSF, leading to an ill-posed de-convolution. Hardware solutions to avoid this require specialized devices such as the coded exposure camera or accelerating sensor motion. The authors employ ordinary video cameras and introduce the notion of null-filling along with joint-invertibility of multiple blur-functions. The key idea is to record the same object with varying PSFs, so that the nulls in the frequency component of one frame can be filled by other frames.