A Compound and Robust Algorithm for Ellipse Detection

Jianfei Mao, Xiong Rong, Weilong Ding
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引用次数: 7

Abstract

Aiming for ellipse detection in complex environment, we propose a compound algorithm. In the scene image that we see everyday, there are usually many corner points and straight lines and it is not practical to use Randomized Hough Transform (RHT) to detect ellipse from such an image, for that the corner points and straight lines everywhere bring numerous noneffective samplings and accumulatings. Aiming at the solution of the problem, we firstly filter noisy points, corner points and straight lines, as many noneffective samplings are eliminated, then we use a compound ellipse detection algorithm to detect ellipse. Firstly use all points of the curve to fit ellipse by least squares and judge if it is the right ellipse, if not, sample five points random from the curve to solve the ellipse parameters, then an effective ellipse fitting rule is proposed to judge whether a point belongs to the solved ellipse. We use the above random sampling and ellipse fitting rule repetitiously to find the most fitting ellipse. In above processing we make full use of the continuity of the edge to sample points random and fit ellipse, as it reduces much more noneffective samplings and accumulatings. Simulation and experiments indicate that this algorithm is more robust and faster than RHT.
一种复合鲁棒椭圆检测算法
针对复杂环境下的椭圆检测问题,提出了一种复合算法。在我们日常看到的场景图像中,通常会有很多角点和直线,使用随机霍夫变换(RHT)从这样的图像中检测椭圆是不现实的,因为到处都是角点和直线会带来大量无效的采样和积累。针对该问题的解决,我们首先对噪声点、角点和直线进行滤波,消除了大量无效采样,然后使用复合椭圆检测算法对椭圆进行检测。首先利用曲线上的所有点进行最小二乘拟合,判断是否为正确的椭圆,如果不是正确的椭圆,则从曲线上随机抽取5个点来求解椭圆参数,然后提出一种有效的椭圆拟合规则来判断一个点是否属于解出的椭圆。我们重复使用上述随机抽样和椭圆拟合规则来寻找最拟合的椭圆。在上面的处理中,我们充分利用了边缘对随机采样点和拟合椭圆的连续性,因为它减少了更多的无效采样和积累。仿真和实验表明,该算法比RHT算法具有更强的鲁棒性和更快的速度。
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