Vectorial optical field-based spatially polarization modulation has been widely studied for polarization measurement due to its simple system structure. In this system, the polarization information is encoded in the irradiance image, and polarization measurement can be realized by image processing. The classical image processing methods could not meet the increasing demand of practical applications due to their poor computational efficiency. To address this issue, a new image processing method, combining the rapidity of local radon transform (LRT) and the precision of error correction (EC), was proposed in this paper. Firstly, the polarization direction of the light was coarsely estimated from pixels on several circles. Then, the LRT of the input image was completed while the coarsely estimated direction was the center angle for LRT. Finally, the EC was conducted to get the accurate direction depending on the quantitative link between the error of the coarse estimation and the correlation between the LRTs. Experiments on synthetic and real data demonstrate that, compared to the other state-of-the-art methods, our proposed algorithm is more robust and less time-consuming.

基于矢量光场的空间偏振调制由于其简单的系统结构而被广泛研究用于偏振测量。在该系统中，偏振信息被编码在辐照度图像中，通过图像处理可以实现偏振测量。经典的图像处理方法由于计算效率低，无法满足日益增长的实际应用需求。针对这一问题，本文提出了一种结合局部氡变换（LRT）的快速性和纠错精度（EC）的图像处理新方法。首先，从几个圆上的像素粗略估计光的偏振方向。然后，输入图像的LRT完成，粗略估计的方向是LRT的中心角。最后，根据粗略估计的误差与 LRT 之间的相关性之间的定量联系，进行 EC 以获得准确的方向。合成数据和真实数据的实验表明，与其他最先进的方法相比，我们提出的算法更健壮且耗时更少。