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Accurate and Robust Line Segment Extraction Using Minimum Entropy With Hough Transform

机译:使用最小熵和霍夫变换进行精确鲁棒的线段提取

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摘要

The Hough transform is a popular technique used in the field of image processing and computer vision. With a Hough transform technique, not only the normal angle and distance of a line but also the line-segment’s length and midpoint (centroid) can be extracted by analysing the voting distribution around a peak in the Hough space. In this paper, a method based on minimum-entropy analysis is proposed to extract the set of parameters of a line segment. In each column around a peak in Hough space, the voting values specify probabilistic distributions. The corresponding entropies and statistical means are computed. The line-segment’s normal angle and length are simultaneously computed by fitting a quadratic polynomial curve to the voting entropies. The line-segment’s midpoint and normal distance are computed by fitting and interpolating a linear curve to the voting means. The proposed method is tested on simulated images for detection accuracy by providing comparative results. Experimental results on real-world images verify the method as well. The proposed method for line-segment detection is both accurate and robust in the presence of quantization error, background noise, or pixel disturbances.
机译:霍夫变换是在图像处理和计算机视觉领域中使用的流行技术。使用霍夫变换技术,不仅可以通过分析霍夫空间中峰周围的投票分布来提取直线的法线角度和距离,还可以提取线段的长度和中点(质心)。本文提出了一种基于最小熵分析的方法来提取线段参数集。在霍夫空间中一个峰周围的每一列中,投票值指定概率分布。计算相应的熵和统计平均值。通过将二次多项式曲线拟合到投票熵,可以同时计算线段的法线角度和长度。线段的中点和法线距离是通过将线性曲线拟合并内插到投票装置来计算的。通过提供比较结果,在模拟图像上测试了该方法的检测精度。在真实世界图像上的实验结果也验证了该方法。所提出的用于线段检测的方法在存在量化误差,背景噪声或像素干扰的情况下既准确又鲁棒。

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