Coherence enhancing image sharpening and denoising using a novel shock filter model

We present a new approach based on Partial Differential Equations (PDEs) and shock filter theory for image enhancement in “Gaussian Blur (GB) + Additive White Gaussian Noise (AWGN)” scenarios. The main disadvantage of shock filters, inability of successfully filtering noisy images, is overcome by the introduction of a complex shock filter framework. The proposed method allows for better control and anisotropic shock filtering, via its control functions f₁ and f₂. The main advantages of our method consist in the ability of successfully enhancing GB+AWGN images while exhibiting a coherence enhancing behavior.