arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2203.07412astro-ph.IMeess.IV
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ShapeNet:星系图像反卷积的形状约束

ShapeNet: Shape Constraint for Galaxy Image Deconvolution

F. Nammour, U. Akhaury, J. N. Girard, F. Lanusse, F. Sureau, C. Ben Ali, J. -L. Starck

摘要:

深度学习(DL)在解决各个领域的反问题方面取得了显着的成果。特别是,Tikhonet方法非常强大,可以对光学天文图像进行去卷积(Sureau et al. 2020)。然而,该方法仅使用了$\ell_2$损失,这不能保证图像中重建的对象的物理信息(例如,通量和形状)的保留。在Nammour et al.(2021)中,在稀疏反卷积的框架下提出了一种新的损失函数,该函数更好地保留了星系的形状并降低了像素误差。在本文中,我们扩展Tikhonet考虑到这种形状约束,并应用我们的新DL方法,称为ShapeNet,光学和无线电干涉模拟数据集。本文的原创性依赖于i)我们在神经网络框架中使用的形状约束,ii)深度学习首次应用于无线电干涉图像反卷积,iii)我们为社区提供的模拟无线电数据集的生成。一系列的例子说明了结果。

英文摘要:

Deep Learning (DL) has shown remarkable results in solving inverse problems in various domains. In particular, the Tikhonet approach is very powerful to deconvolve optical astronomical images (Sureau et al. 2020). Yet, this approach only uses the $\ell_2$ loss, which does not guarantee the preservation of physical information (e.g. flux and shape) of the object reconstructed in the image. In Nammour et al. (2021), a new loss function was proposed in the framework of sparse deconvolution, which better preserves the shape of galaxies and reduces the pixel error. In this paper, we extend Tikhonet to take into account this shape constraint, and apply our new DL method, called ShapeNet, to optical and radio-interferometry simulated data set. The originality of the paper relies on i) the shape constraint we use in the neural network framework, ii) the application of deep learning to radio-interferometry image deconvolution for the first time, and iii) the generation of a simulated radio data set that we make available for the community. A range of examples illustrates the results.

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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