arXiv:2503.01462astro-ph.IMcs.CV2025-03

将深度学习成像模型扩展至球面,实现宽视场射电成像的快速高精度重建。

S-R2D2: a spherical extension of the R2D2 deep neural network series paradigm for wide-field radio-interferometric imaging

  • 基于R2D2框架,用傅里叶插值将球面图像映射到平面进行处理。
  • 在仿真中实现高分辨率、高动态范围下球面图像的快速准确重建。
  • 适合需要宽视场球面成像的射电望远镜系统,如SKA等下一代设备。

最近提出的R2D2范式(即‘残差到残差的深度神经网络系列,用于高动态范围成像’)作为传统CLEAN算法的可学习版本,应用于射电干涉成像。但其早期版本仅限于小视场平面成像,难以满足现代望远镜对宽视场球面成像的需求。为此,本文提出球面扩展S-R2D2。首先,如同R2D2,S-R2D2将迭代周期嵌入现有二维欧氏神经网络架构,但调整其迭代机制以兼容宽视场测量模型——将球面图像映射为可见度数据。我们将其实现为一个高效的基于傅里叶的插值器,将球面图像投影至赤道平面,再通过标准射电干涉操作将平面图像映射为可见度数据。重要的是,为满足球面高分辨率要求同时保持可扩展性,插值步骤必须在低于最优分辨率的平面上执行。因此,其次,我们设计了联合损失函数,使S-R2D2同时学习修正插值近似误差,并识别球面上的残差结构,利用伴随的平面到球面插值器确保与球面真实数据一致。最后,通过仿真验证,S-R2D2可在高分辨率、高动态范围设置下,实现球面单色强度图像的快速且精确重建。

原文摘要 · Abstract (English)

Recently, the R2D2 paradigm, standing for ''Residual-to-Residual DNN series for high-Dynamic-range imaging'', was introduced for image formation in Radio Interferometry (RI) as a learned version of the traditional algorithm CLEAN. The first incarnations of R2D2 are limited to planar imaging on small fields of view, failing to meet the spherical-imaging requirement of modern telescopes observing wide fields. To address this limitation, we propose the spherical-imaging extension S-R2D2. Firstly, as R2D2, S-R2D2 encapsulates its minor cycles in existing 2D-Euclidean deep neural network (DNN) architectures, but adapts its iterative scheme to incorporate the wide-field measurement model mapping a spherical image to visibility data. We implemented this model as the composition of an efficient Fourier-based interpolator mapping the spherical image onto the equatorial plane, with the standard RI operator mapping the equatorial-plane image to visibility data. Importantly, the interpolation step must inevitably be performed at a lower-than-optimal resolution on the plane, to meet the high-resolution requirement on the sphere of wide-field imaging while preserving scalability. Therefore, secondly, we design S-R2D2's DNN training loss to jointly learn to correct the interpolation approximations and identify residual image structures on the sphere, ensuring consistency with the spherical ground truth using the adjoint plane-to-sphere interpolator. Finally, we demonstrate through simulations S-R2D2's capability to perform fast and accurate reconstructions of spherical monochromatic intensity images, across high-resolution, high-dynamic-range settings.

射电成像球面建模深度学习宽视场

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