Point Spread Function Engineering for 3D Imaging of Space Debris Using a Continuous Exact ℓ0 Penalty (CEL0) Based Algorithm

Chao WANG; Raymond H. CHAN; Robert J. PLEMMONS; Sudhakar PRASAD

doi:10.1007/978-981-16-2701-9_1

Point Spread Function Engineering for 3D Imaging of Space Debris Using a Continuous Exact ℓ₀ Penalty (CEL0) Based Algorithm

Chao WANG^*, Raymond H. CHAN, Robert J. PLEMMONS, Sudhakar PRASAD

^*Corresponding author for this work

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

Abstract

We consider three-dimensional (3D) localization and imaging of space debris from only one two-dimensional (2D) snapshot image. The technique involves an optical imager that exploits off-center image rotation to encode both the lateral and depth coordinates of point sources, with the latter being encoded in the angle of rotation of the PSF. We formulate 3D localization into a large-scale sparse 3D inverse problem in discretized form. A recently developed penalty called continuous exact ℓ₀ (CEL0) is applied in this problem for the Gaussian noise model. Numerical experiments and comparisons illustrate the efficiency of the algorithm.

Original language	English
Title of host publication	Mathematical Methods in Image Processing and Inverse Problems, IPIP 2018
Editors	Xue-Cheng TAI, Suhua WEI, Haiguang LIU
Publisher	Springer
Pages	1-12
Number of pages	12
ISBN (Electronic)	9789811627019
ISBN (Print)	9789811627002
DOIs	https://doi.org/10.1007/978-981-16-2701-9_1
Publication status	Published - 2021
Externally published	Yes
Event	International Workshop on Image Processing and Inverse Problems, IPIP 2018 - Beijing, China Duration: 21 Apr 2018 → 24 Apr 2018

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	360
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	International Workshop on Image Processing and Inverse Problems, IPIP 2018
Country/Territory	China
City	Beijing
Period	21/04/18 → 24/04/18

Bibliographical note

Publisher Copyright:
© 2021, Springer Nature Singapore Pte Ltd.

Funding

The research of the first, third and fourth authors was supported by the US Air Force Office of Scientific Research under grant FA9550-15-1-0286. The work of the second author was supported by HKRGC Grant CUHK14306316, HKRGC Grant CUHK14301718, HKRGC CRF Grant C1007-15G, HKRGC AoE Grant AoE/M-05/12, CUHK DAG No. 4053211, and CUHK FIS Grant No. 1907303. The work of the third author was also supported by HKRGC Grant CUHK14306316.

Keywords

3D localization
Nonconvex optimization algorithms
Point spread function
Space debris

Access to Document

10.1007/978-981-16-2701-9_1

Cite this

WANG, C., CHAN, R. H., PLEMMONS, R. J., & PRASAD, S. (2021). Point Spread Function Engineering for 3D Imaging of Space Debris Using a Continuous Exact ℓ₀ Penalty (CEL0) Based Algorithm. In X.-C. TAI, S. WEI, & H. LIU (Eds.), Mathematical Methods in Image Processing and Inverse Problems, IPIP 2018 (pp. 1-12). (Springer Proceedings in Mathematics and Statistics; Vol. 360). Springer. https://doi.org/10.1007/978-981-16-2701-9_1

WANG, Chao ; CHAN, Raymond H. ; PLEMMONS, Robert J. et al. / Point Spread Function Engineering for 3D Imaging of Space Debris Using a Continuous Exact ℓ₀ Penalty (CEL0) Based Algorithm. Mathematical Methods in Image Processing and Inverse Problems, IPIP 2018. editor / Xue-Cheng TAI ; Suhua WEI ; Haiguang LIU. Springer, 2021. pp. 1-12 (Springer Proceedings in Mathematics and Statistics).

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abstract = "We consider three-dimensional (3D) localization and imaging of space debris from only one two-dimensional (2D) snapshot image. The technique involves an optical imager that exploits off-center image rotation to encode both the lateral and depth coordinates of point sources, with the latter being encoded in the angle of rotation of the PSF. We formulate 3D localization into a large-scale sparse 3D inverse problem in discretized form. A recently developed penalty called continuous exact ℓ0 (CEL0) is applied in this problem for the Gaussian noise model. Numerical experiments and comparisons illustrate the efficiency of the algorithm.",

keywords = "3D localization, Nonconvex optimization algorithms, Point spread function, Space debris",

author = "Chao WANG and CHAN, {Raymond H.} and PLEMMONS, {Robert J.} and Sudhakar PRASAD",

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WANG, C, CHAN, RH, PLEMMONS, RJ & PRASAD, S 2021, Point Spread Function Engineering for 3D Imaging of Space Debris Using a Continuous Exact ℓ₀ Penalty (CEL0) Based Algorithm. in X-C TAI, S WEI & H LIU (eds), Mathematical Methods in Image Processing and Inverse Problems, IPIP 2018. Springer Proceedings in Mathematics and Statistics, vol. 360, Springer, pp. 1-12, International Workshop on Image Processing and Inverse Problems, IPIP 2018, Beijing, China, 21/04/18. https://doi.org/10.1007/978-981-16-2701-9_1

Point Spread Function Engineering for 3D Imaging of Space Debris Using a Continuous Exact ℓ₀ Penalty (CEL0) Based Algorithm. / WANG, Chao; CHAN, Raymond H.; PLEMMONS, Robert J. et al.
Mathematical Methods in Image Processing and Inverse Problems, IPIP 2018. ed. / Xue-Cheng TAI; Suhua WEI; Haiguang LIU. Springer, 2021. p. 1-12 (Springer Proceedings in Mathematics and Statistics; Vol. 360).

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

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WANG C, CHAN RH, PLEMMONS RJ, PRASAD S. Point Spread Function Engineering for 3D Imaging of Space Debris Using a Continuous Exact ℓ₀ Penalty (CEL0) Based Algorithm. In TAI XC, WEI S, LIU H, editors, Mathematical Methods in Image Processing and Inverse Problems, IPIP 2018. Springer. 2021. p. 1-12. (Springer Proceedings in Mathematics and Statistics). Epub 2021 Sept 26. doi: 10.1007/978-981-16-2701-9_1