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An algorithm for rapid measurement of aberrations in pairs of out-of-focus images

机译:一种用于快速测量离焦图像对中的像差的算法

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摘要

In this thesis, I present a new technique for measuring the optical aberrations produced by a telescope, with an eye towards future use of these aberration measurements to align wide-field telescopes. This method determines the aberrations by simultaneously fitting a pair of oppositely defocused images to a mostly analytic model. I develop the model and describe its software implementation in detail, and then report on the results of tests with simulated and real data. This technique is able to extract the aberrations from simulated data rapidly and accurately, and it has been used with mixed success to analyze data from the VISTA telescope. With the VISTA data, the algorithm is unable to match small-scale brightness variations in the images. However, it was able to determine aberrations with median accuracies of 0.08 um for coma, 0.08 um for astigmatism, 0.9 um for tilt, and 0.3 um for defocus. It was also quite fast, with an average of 34 iterations until convergence.
机译:在这篇论文中,我提出了一种测量望远镜产生的光学像差的新技术,着眼于将来使用这些像差测量来对准宽视场望远镜。该方法通过将一对相对散焦的图像同时拟合到大部分分析模型来确定像差。我将开发模型并详细描述其软件实现,然后使用模拟和真实数据报告测试结果。该技术能够快速,准确地从模拟数据中提取像差,并且已经成功地用于分析VISTA望远镜的数据。对于VISTA数据,该算法无法匹配图像中的小范围亮度变化。但是,它能够确定像差的平均精度为:昏迷0.08 um,散光0.08 um,倾斜0.9 um和散焦0.3 um。它也非常快,在收敛之前平均进行了34次迭代。

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