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arXiv 2109.09334astro-ph.IMastro-ph.HE
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傅里叶空间中的图像相减

Image Subtraction in Fourier Space

Lei Hu, Lifan Wang, Xingzhuo Chen, Jiawen Yang

摘要:

图像相减是时域天文学中瞬态探测的基本方法。对于地面光学望远镜拍摄的成像数据,点扩散函数(PSF)、光度缩放和天空背景通常随时间和整个视场而变化。图像减法算法需要匹配这些变化,以检测通量变化。一个算法,可以完全并行化是非常可取的未来时域调查。在这里,我们展示了用于图像差分的扫视快速傅里叶变换(SFFT)算法。SFFT采用$δ$ -函数基进行核分解,图像相减在傅立叶空间进行。这带来了一个显着的改善,约一个数量级的计算性能相比,其他公布的图像减法代码。SFFT可以适应宽视场成像数据的空间变化,包括PSF,光度缩放和天空背景。然而,$δ$函数基的灵活性也可能使其更容易过拟合。该算法已经在各种望远镜拍摄的真实天文数据中进行了广泛的测试。此外,SFFT代码允许PSF和天空背景的空间变化由样条函数拟合。

英文摘要:

Image subtraction is essential for transient detection in time-domain astronomy. The point spread function (PSF), photometric scaling, and sky background generally vary with time and across the field-of-view for imaging data taken with ground-based optical telescopes. Image subtraction algorithms need to match these variations for the detection of flux variability. An algorithm that can be fully parallelized is highly desirable for future time-domain surveys. Here we show the Saccadic Fast Fourier Transform (SFFT) algorithm for image differencing. SFFT uses $δ$-function basis for kernel decomposition, and the image subtraction is performed in Fourier Space. This brings about a remarkable improvement of computational performance of about an order of magnitude compared to other published image subtraction codes. SFFT can accommodate the spatial variations in wide-field imaging data, including PSF, photometric scaling, and sky background. However, the flexibility of the $δ$-function basis may also make it more prone to overfitting. The algorithm has been tested extensively in real astronomical data taken by a variety of telescopes. Moreover, the SFFT code allows for the spatial variations of the PSF and sky background to be fitted by spline functions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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