Image denoising via coded aperture photography

We present a novel image denoising method utilizing coded aperture photography. Our approach captures an image that is slightly optically defocused by a coded aperture. This allows us to more effectively reduce noise while high frequency of image structures are protected by the coded aperture image. We analyze the effectiveness of coded aperture in decoupling noise frequency from high frequency of image structures. A novel frequency-aware regularization is proposed to denoise and to restore sharp image from a noisy slightly out-of-focus coded aperture image. The effectiveness of our approach is demonstrated on various challenging examples with quantitative and qualitative comparisons to results of state-of-the-art denoising methods.