2006 **Abstract:** Abstract-Many classical image denoising methods are based on a local averaging of the color, which increases the signal/noise ratio. One of the most used algorithms is the neighborhood filter by Yaroslavsky or sigma filter by Lee, also called in a variant "SUSAN" by Smith and Brady or "Bilateral filter" by Tomasi and Manduchi. These filters replace the actual value of the color at a point by an average of all values of points which are simultaneously close in space and in color. Unfortunately, these filters sh…

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“…Nonlinear filters such as median filter and anisotropic diffusion filter (ADF) are known to be effective in reducing noise while preserving sharp edges. However, they also tend to introduce artifacts such as flat zones and boundaries inside smooth regions (26,27). In our preliminary studies (data not shown), the application of ADF successfully reduced many false "holes" without compromising spatial resolution as previously demonstrated in Jones et al (18).…”

confidence: 71%

“…Nonlinear filters such as median filter and anisotropic diffusion filter (ADF) are known to be effective in reducing noise while preserving sharp edges. However, they also tend to introduce artifacts such as flat zones and boundaries inside smooth regions (26,27). In our preliminary studies (data not shown), the application of ADF successfully reduced many false "holes" without compromising spatial resolution as previously demonstrated in Jones et al (18).…”

confidence: 71%

“…It is proved by Buades, Coll, and Morel [11], [12] for the estimate (25) where the window w h is truncated Gaussian. This equivalence has a place provided that the width of the truncated Gaussian window and its standard deviation h are small and have the same order of magnitude.…”

confidence: 93%

“…the so-called "staircasing" or "shock" effects. In order to repair and avoid these undesirable effects, the nonlocal polynomial models of the Þrst and higher orders have been proposed by Buades, Coll, and Morel [11], [12]. Similar higher-order nonlocal algorithm has been reported in Chatterjee and Milanfar [16], where the polynomial approximations up to second order are used.…”

confidence: 99%

“…This filter is defined as: [14] have established the link existing between bilateral filtering and PM equation. They have proven that for small neighborhoods, bilateral filtering using a box function as spatial weight, asymptotically behaves as the Perona-Malik model.…”

confidence: 99%