Angle measurement for cross-line target image based on fourier-polar transform algorithm

F. bai, Jun Kong, Tieying Zhang, Yongxiang Xu, Xiangdong Shi
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Abstract

In visual detection fields based on line-structured light, the analysis of optical stripe image is a key problem. For the cross-line target image, through measuring the angle between two linear optical stripes the target position or some system’s parameters can be obtained. The traditional technique usually needs many preprocessing steps including image filtering, threshold segmentation, thinning processing and so on. For the images with low signal noise ratio or non-uniform intensity distribution, their application performance will be challenged. Based on the characteristic of translation invariance and rotation synchronization of two-dimensional Fourier transform, the paper combines Fourier transform with polar transform to form new Fourier-polar transform algorithm. It implements the angle measurement in the frequency-domain replaced in the spatial domain. At the same time, to improve the convenient of compute, the polar transform is adopted to calculate the distribution direction of amplitude spectrum energy. The proposed Fourier-polar transform algorithm uses the overall information of the image, and the calculating process is simple and no requirement of image preprocessing. Therefore, it can be applied to measure the angle of cross-line target image in low quality image such as low signal-to-noise ratio or with noise.
基于傅里叶极坐标变换算法的交叉线目标图像角度测量
在基于线结构光的视觉检测领域中,光学条纹图像的分析是一个关键问题。对于交叉线目标图像,通过测量两个线性光学条纹之间的夹角,可以得到目标位置或系统的某些参数。传统的图像预处理技术通常需要许多预处理步骤,包括图像滤波、阈值分割、稀疏处理等。对于低信噪比或强度分布不均匀的图像,其应用性能将受到挑战。基于二维傅里叶变换平移不变性和旋转同步性的特点,将傅里叶变换与极变换相结合,形成新的傅里叶-极变换算法。它实现了在频域替换为空间域的角度测量。同时,为了提高计算的方便性,采用极坐标变换计算振幅谱能量的分布方向。所提出的傅里叶极坐标变换算法利用了图像的整体信息,计算过程简单,不需要对图像进行预处理。因此,它可以用于低信噪比或有噪声的低质量图像中交叉线目标图像的角度测量。
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