Morphological sharpening and denoising using a novel shock filter model

Abstract

We present a new approach based on Partial Differential Equations (PDEs) for image enhancement in generalized "Gaussian Blur (GB) + Additive White Gaussian Noise (AWGN)" scenarios. The inability of the classic shock filter to successfully process noisy images is overcome by the introduction of a complex shock filter framework. Furthermore, the proposed method allows for better control and anisotropic, contour-driven, 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 preserving a stableconvergent time behavior. © Springer-Verlag Berlin Heidelberg 2010.