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arXiv 0901.4781astro-ph.COastro-ph.IM
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弱透镜中光子噪声和像素效应的简单处理

Simple Treatments of the Photon Noise and the Pixelation Effect in Weak Lensing

Jun Zhang

摘要:

我们提出了在宇宙剪切测量中由光子噪声和像素效应引起的系统误差的简单校正方法。我们对噪声的处理可以可靠地去除噪声对宇宙剪切的污染,即使噪声的通量密度与源的通量密度相当。对于像素化的图像,我们发现,可以准确地重建其相应的连续图像,通过插值的像素读出的双三次或双三次样条方法。只要像素大小大约小于点扩散函数(PSF,包括像素响应函数)的尺度大小,从插值的连续图像测量的宇宙剪切包含可忽略的系统误差,这是在实践中几乎总是满足的条件。我们的方法是很好地定义,无论星系和PSF的形态。尽管我们的讨论是基于张(2008)的剪切测量方法,但我们处理噪声的方法原则上可以在其他方法中考虑,并且我们引入的用于从像素化图像重建连续图像的插值方法通常适用于所有目的的数字图像处理。

英文摘要:

We propose easy ways of correcting for the systematic errors caused by the photon noise and the pixelation effect in cosmic shear measurements. Our treatment of noise can reliably remove the noise contamination to the cosmic shear even when the flux density of the noise is comparable with those of the sources. For pixelated images, we find that one can accurately reconstruct their corresponding continuous images by interpolating the logarithms of the pixel readouts with either the Bicubic or the Bicubic Spline method. The cosmic shears measured from the interpolated continuous images contain negligible systematic errors as long as the pixel size is about less than the scale size of the point spread function (PSF, including the pixel response function), a condition which is almost always satisfied in practice. Our methodology is well defined regardless of the morphologies of the galaxies and the PSF. Despite that our discussion is based on the shear measurement method of Zhang (2008), our way of treating the noise can in principle be considered in other methods, and the interpolation method that we introduce for reconstructing continuous images from pixelated ones is generally useful for digital image processing of all purposes.

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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