一种用于射电天文图像重建的自适应尺度算法

doi:10.13438/j.cnki.jdzk.2020.04.008

吉首大学学报（自然科学版）

一种用于射电天文图像重建的自适应尺度算法

张利，米立功，肖一凡，杨江河，李桂城,卫星奇，宁娜文，李丹杨，贺春林

（1.贵州大学大数据与信息工程学院，贵州贵阳 550025；2. 黔南民族师范学院物理与电子科学学院，贵州都匀 558000；3. 西华师范大学计算机学院，四川南充 637002；4. 湖南文理学院湖南常德 415000）

出版日期:2020-07-25 发布日期:2020-10-27
作者简介:张利（1987—），男,四川达州人，贵州大学特聘教授，主要从事图像处理与大数据研究.
基金资助:
国家自然科学基金资助项目（11963003,U2031112）；国家重点研发计划项目（2018YFA0404602）；贵州省教育厅青年科技人才成长项目（黔教合KY字[2018]119，433）；贵州大学引进人才科研基金项目（贵大人基合字（2018）60号）；中国科学院太阳活动重点实验室基金（KLSA201805）；贵州省科技计划项目（黔科合平台人才[2017]5788号）；天文学本科专业建设项目（2016XBJKX0202）；黔南民族师范学院一流平台项目（2019XJG0302）

Improved Deconvolution Algorithm for Radio Interferometric Images

ZHANG Li, MI Ligong, XIAO Yifan, YANG Jianghe, LI Guicheng, WEI Xingqi, NING Nawen, LI Danyang, HE Chunlin

(1.College of Big Data and Information Engineering, Guizhou University, Guiyang 550025, China; 2.College of Physics and Electronics, Qiannan Normal College for Minorities, Duyun 558000, Guizhou China; 3.Computer School, China West Normal University, Nanchong 637002, Sichuan China; 4. College of Mathematics and Physics, Changde 415000, Hunan China)

Online:2020-07-25 Published:2020-10-27

摘要/Abstract

摘要：

为了解决在成像过程中反卷积点扩展函数所带来的模糊效应，提出一种新的图像重建算法.新算法利用高斯函数分解模型，能够有效解决基于Delta函数分解模型所引起的问题，并在重建延展源和致密源方面具备更好的效果.通过VLA模拟观测数据对算法进行测试，并与现有的2类图像重建算法进行比较，结果表明，新算法能够有效平衡现有的反卷积算法的计算复杂度和性能问题，能对图像进行更加精确建模，具有更好的图像重建性能.

关键词： 综合孔径成图, 图像重建算法, CLEAN算法, 通用天文软件程序包

Abstract:

A new reconstruction algorithm is proposed to resolve the problem of deconvolution of the point spread function during the imaging process. The algorithm is based on the decomposition of Gaussian function model, which can solve the problems from delta function model and can reconstruct extended sources and point-like sources well. The algorithm is tested with a simulated observation with VLA and compared with another 2 algorithms. The results indicate that the improved algorithm can effectively balance computational complexity and performances, make more accurate modeling of the image, and shows superior image reconstruction performances.

Key words: synthetic aperture imaging, image reconstruction algorithm, CLEAN algorithm, common astronomy software applications (CASA)

张利，米立功，肖一凡，杨江河，李桂城,卫星奇，宁娜文，李丹杨，贺春林. 一种用于射电天文图像重建的自适应尺度算法[J]. 吉首大学学报（自然科学版）, DOI: 10.13438/j.cnki.jdzk.2020.04.008.

ZHANG Li, MI Ligong, XIAO Yifan, YANG Jianghe, LI Guicheng, WEI Xingqi, NING Nawen, LI Danyang, HE Chunlin. Improved Deconvolution Algorithm for Radio Interferometric Images[J]. Journal of Jishou University（Natural Sciences Edition), DOI: 10.13438/j.cnki.jdzk.2020.04.008.

参考文献

[1] RICHARD THOMPSON A, MORAN J M, SWENSON G W Jr. Interferometry and Synthesis in Radio Astronomy[M]. 3rd Edition. Berne: Springer Nature Switzerland AG， 2017.
[2] STARCK J L, PANTIN E, MURTAGH F. Deconvolution in Astronomy: A Review[J]. Publications of the Astronomical Society of the Pacific, 2002, 114(8): 1051-1069.
[3] CORNWELL T J, EVANS K F. A Simple Maximum Entropy Deconvolution Algorithm [J]. Astronomy and Astrophysics, 1985, 143: 77C.
[4] HGBOM J A. Aperture Synthesis with a Non-Regular Distribution of Interferometer Baselines [J]. Astronomy and Astrophysics Supply Series, 1974, 15: 417.
[5] SCHWARZ U J. Mathematical-Statistical Description of the Iterative Beam Removing Technique (Method CLEAN) [J]. Astronomy and Astrophysics, 1987, 65: 345S.
[6] CLARK B G. An Efficient Implementation of the Algorithm 'CLEAN' [J]. Astronomy and Astrophysics, 1980, 89: 77C.
[7] SCHWAB F R, COTTON W D. Global Fringe Search Techniques for VLBI [J]. The Astronomical Journal, 1983, 88: 688S.
[8] 贾振卿,霍卓玺,周建锋.差分CLEAN算法在编码板成像中的应用[J].天文研究与技术,2013,10(1):69-76.
[9] CANDS E J. Compressive Sampling [C]∥SANZ-SOL MARTA,SORIA JAVIER,VARONA JUAN L,et al. Proceedings of the International Congress of Mathematicians. Madrid: EMS Publishing House, 2006: 1433-1452.
[10] WIAUX Y,JACQUES L, PUY G, et al. Compressed Sensing Imaging Techniques for Radio Interferometry[J]. Monthly Notices of the Royal Astronomical Society, 2009, 395(3): 1733-1742.
[11] CARRILLO R E, MCEWEN J D, WIAUX Y. Sparsity Averaging Reweighted Analysis (SARA): A Novel Algorithm for Radio-Interferometric Imaging[J]. Monthly Notices of the Royal Astronomical Society, 2012, 426(2):1223-1234.
[12] CORNWELL T J. Multiscale CLEAN Deconvolution of Radio Synthesis Images[J]. IEEE Journal of Selected Topics in Signal Processing, 2008, 2(5): 793C.
[13] BHATNAGAR S, CORNWELL T J. Scale Sensitive Deconvolution of Interferometric Images[J]. Astronomy and Astrophysics, 2004, 426(2): 747-754.
[14] MARQUARDT D W. An Algorithm for Least-Squares Estimation of Nonlinear Parameters[J]. SIAM Journal on Applied Mathematics,1963, 11(2): 431-441.
[15] CORNWELL T J, HOLDAWAY M A, USON J M. Radio-Interferometric Imaging of Very Large Objects: Implications for Array Design[J]. Astronomy and Astrophysics, 1993, 271: 697C.

一种用于射电天文图像重建的自适应尺度算法

Improved Deconvolution Algorithm for Radio Interferometric Images

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 0

编辑推荐

Metrics

本文评价