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A nonparametric method for fitting a straight line to a noisy image

机译:一种将直线拟合到噪点图像的非参数方法

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摘要

In fitting a straight line to a noisy image, the least-squares method becomes highly unreliable either when the noise distribution is nonnormal or when it is contaminated by outliers. The authors propose a nonparametric method, the median of the intercepts, to overcome these difficulties. This method is free of assumptions about the noise distribution and insensitive to outliers, and it does not require quantization of the parameter space. Thus, unlike the Hough transform, its outcome does not depend on the bin size. The method is efficient and its implementation does not involve practical difficulties such as local minima or poor convergence of iterative procedures.
机译:在将直线拟合到嘈杂的图像时,最小二乘法在噪声分布不正常或被异常值污染时变得非常不可靠。作者提出了一种非参数方法,即截距的中值,以克服这些困难。该方法没有关于噪声分布的假设,并且对异常值不敏感,并且不需要量化参数空间。因此,与霍夫变换不同,其结果不取决于单元格大小。该方法是有效的,并且其实现不涉及实际困难,例如局部极小值或迭代过程的收敛性差。

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