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Recently I have seen the paper Hui Yin, Yuanhao Gong, Guoping Qiu - Side Window Filtering. They suggest a really simple filtering framework for Edge Preserving Filter: Basically, what they suggest is filtering the image with a set of filter based on the Box Filter. This filter set is basically composed of 8 filters with different orientations and sub sets ...

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The Total Variation of an image $I$ can be calculated in one of 3 methods (See The Meaning of the Terms Isotropic and Anisotropic in the Total Variation Framework): Anisotropic TV - $\operatorname{TV} \left( I \right) = \sum_{x} \| \nabla I (x) \|_1$. Isotropic TV - $\operatorname{TV} \left( I \right) = \sum_{x} \| \nabla I (x) \|_2$. Isotropic ...

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The bilateral filter is a slow filter as it has to dynamically adapt its kernel based on local image statistics. To overcome this limitation, researchers came up Bilateral Grids. It performs the same edge-preserving smoothening an order of magnitude faster.

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