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首页> 外文会议>Image Processing pt.3; Progress in Biomedical Optics and Imaging; vol.7 no.30 >A Weighted Average Algorithm for Edge-preserving Smoothing on MRI Images
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A Weighted Average Algorithm for Edge-preserving Smoothing on MRI Images

机译：加权平均算法在MRI图像上的边缘保持平滑

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摘要

Medical images such as MRI images normally have smooth edges and round corners, but the existing general edge-preserving smoothing algorithms often result in coarse edges and sharp corners. A new image smoothing algorithm, based on a filter utilizing the weighted average of 21 average pixel values in 21 neighborhood subregions in a 3x3 square around the center pixel, is proposed to deal with the problem. Subregions with the center point being smoothed on its sharp corner are avoided from selection to make the edges being preserved smooth and round. During the smoothing process, each subregion is assigned a weight according to its homogeneousness which is evaluated by the variance of its pixel values. The weighted average of averages for all subregions is assigned to the center pixel being smoothed. The more homogeneous neighborhood has more influence on the center pixel, so that the edges can be well preserved. But contributions from all neighborhoods are also taken into consideration especially when their homogeneousness is largely equal so that the resultant areas are smoother. An evaluation of the algorithm on the simulated MRI images is carried out. Experimental results showed that the new algorithm can smooth the MRI images better while keeping the edges better compared with the existing smoothing algorithms.
机译：医学图像（例如MRI图像）通常具有平滑的边缘和圆角，但是现有的常规保留边缘的平滑算法通常会导致边缘粗糙和尖角。针对这种问题，提出了一种新的图像平滑算法，该算法基于滤波器，该滤波器利用中心像素周围3x3正方形中21个邻域子区域中21个平均像素值的加权平均值。避免选择中心点在其尖角处平滑的子区域，以使边缘保持平滑和圆形。在平滑过程中，根据子区域的均匀性为每个子区域分配权重，该均一性由其像素值的方差评估。将所有子区域的平均值的加权平均值分配给要平滑的中心像素。更加均匀的邻域对中心像素的影响更大，因此可以很好地保留边缘。但是，也要考虑到所有邻域的贡献，尤其是当它们的均一性在很大程度上相等时，从而使生成的区域更加平滑。对模拟的MRI图像进行算法评估。实验结果表明，与现有的平滑算法相比，新算法可以更好地平滑MRI图像，同时保持边缘更好。

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