Abstract
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 f <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> and f <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> . The main advantages of our method consist in the ability of successfully enhancing GB+AWGN images while exhibiting a coherence enhancing behavior.
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