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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 stable-convergent time behavior.

Morphological Sharpening and Denoising Using a Novel Shock Filter Model