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: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › 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
Subtitle of host publication	IPIP 2018, Beijing, China, April 21–24
Editors	Xue-Cheng Tai, Suhua Wei, Haiguang Liu
Place of Publication	Singapore
Publisher	Springer
Pages	1-12
ISBN (Electronic)	978-981-16-2701-9
ISBN (Print)	978-981-16-2700-2
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 Computational Science Research Center, Beijing, China Duration: 21 Apr 2018 → 24 Apr 2018 https://www.csrc.ac.cn/en/event/workshop/2017-12-27/78.html

Publication series

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

Conference

Conference	International Workshop on Image Processing and Inverse Problems (IPIP 2018)
Place	China
City	Beijing
Period	21/04/18 → 24/04/18
Internet address	https://www.csrc.ac.cn/en/event/workshop/2017-12-27/78.html

Research Keywords

3D localization
Nonconvex optimization algorithms
Point spread function
Space debris

Access Output

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

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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, Beijing, China, April 21–24 (pp. 1-12). (Springer Proceedings in Mathematics & 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, Beijing, China, April 21–24. editor / Xue-Cheng Tai ; Suhua Wei ; Haiguang Liu. Singapore : Springer , 2021. pp. 1-12 (Springer Proceedings in Mathematics & Statistics).

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

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",

year = "2021",

doi = "10.1007/978-981-16-2701-9\_1",

language = "English",

isbn = "978-981-16-2700-2",

series = "Springer Proceedings in Mathematics \& Statistics",

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editor = "Xue-Cheng Tai and Suhua Wei and Haiguang Liu",

booktitle = "Mathematical Methods in Image Processing and Inverse Problems",

note = "International Workshop on Image Processing and Inverse Problems (IPIP 2018) ; Conference date: 21-04-2018 Through 24-04-2018",

url = "https://www.csrc.ac.cn/en/event/workshop/2017-12-27/78.html",

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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, Beijing, China, April 21–24. Springer Proceedings in Mathematics & Statistics, vol. 360, Springer , Singapore, 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, Beijing, China, April 21–24. ed. / Xue-Cheng Tai; Suhua Wei; Haiguang Liu. Singapore: Springer , 2021. p. 1-12 (Springer Proceedings in Mathematics & Statistics; Vol. 360).

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

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T1 - Point Spread Function Engineering for 3D Imaging of Space Debris Using a Continuous Exact ℓ0 Penalty (CEL0) Based Algorithm

AU - Wang, Chao

AU - Chan, Raymond H.

AU - Plemmons, Robert J.

AU - Prasad, Sudhakar

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N2 - 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.

AB - 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.

KW - 3D localization

KW - Nonconvex optimization algorithms

KW - Point spread function

KW - Space debris

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T3 - Springer Proceedings in Mathematics & Statistics

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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, Beijing, China, April 21–24. Singapore: Springer . 2021. p. 1-12. (Springer Proceedings in Mathematics & Statistics). Epub 2021 Sept 26. doi: 10.1007/978-981-16-2701-9_1