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Modeling of digital mammograms using bicubic spline functions and additive noise

机译:使用双三次样条函数和加性噪声对数字乳房X线照片进行建模

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Abstract: The purpose of our work is the microcalcifications detection on digital mammograms. In order to do so, we model the grey levels of digital mammograms by the sum of a surface trend (bicubic spline function) and an additive noise or texture. We also introduce a robust estimation method in order to overcome the bias introduced by the microcalcifications. After the estimation we consider the subtraction image values as noise. If the noise is not correlated, we adjust its distribution probability by the Pearson's system of densities. It allows us to threshold accurately the images of subtraction and therefore to detect the microcalcifications. If the noise is correlated, a unilateral autoregressive process is used and its coefficients are again estimated by the least squares method. We then consider non overlapping windows on the residues image. In each window the texture residue is computed and compared with an a priori threshold. This provides correct localization of the microcalcifications clusters. However this technique is definitely more time consuming that then automatic threshold assuming uncorrelated noise and does not lead to significantly better results. As a conclusion, even if the assumption of uncorrelated noise is not correct, the automatic thresholding based on the Pearson's system performs quite well on most of our images.!26
机译:摘要:我们的工作目的是在数字化乳腺X线照片上进行微钙化检测。为此,我们通过表面趋势(双曲线样条函数)与附加噪声或纹理的总和对数字化乳腺X线照片的灰度建模。我们还介绍了一种鲁棒的估算方法,以克服微钙化带来的偏差。估计之后,我们将减法图像值视为噪声。如果噪声不相关,我们将通过皮尔逊密度系统调整其分布概率。它使我们能够精确地对减法图像进行阈值处理,从而检测微钙化。如果噪声相关,则使用单边自回归过程,并再次通过最小二乘法估算其系数。然后,我们考虑残差图像上的非重叠窗口。在每个窗口中,计算纹理残留并将其与先验阈值进行比较。这提供了微钙化簇的正确定位。但是,与自动阈值假设不相关的噪声相比,该技术绝对要花费更多的时间,并且不会导致明显更好的结果。结论是,即使不相关噪声的假设是不正确的,基于Pearson系统的自动阈值处理在我们的大多数图像上也表现良好!26

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