A distributed approach for solving wavefront reconstruction problems

Joao Silva; Tamas Keviczky; Michel Verhaegen

doi:10.1109/ACC.2016.7526695

A distributed approach for solving wavefront reconstruction problems

Joao Silva, Tamas Keviczky, Michel Verhaegen

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

1 Citation (Scopus)

Abstract

We present a novel method to address wavefront reconstruction problems in Adaptive Optics. The underlying estimation problem is formulated using multivariate B-splines and it is shown how the resulting constrained least-squares optimization problem can be solved using the Alternating Direction Method of Multipliers (ADMM). The proposed method is analyzed in terms of convergence and its computational benefits, compared to a centralized approach. The results indicate that due to the much more favorable scaling of the required memory and computational effort, together with good performance, the proposed solution enables solving very large scale real-time wavefront reconstruction problems that appear in next-generation adaptive optics applications.

Original language	English
Title of host publication	Proceedings of the 2016 American Control Conference (ACC 2016)
Editors	K Johnson, G Chiu, D Abramovitch
Place of Publication	Piscataway, NY, USA
Publisher	IEEE Society
Pages	6513-6518
ISBN (Electronic)	978-1-4673-8682-1
ISBN (Print)	978-1-4673-8683-8
DOIs	https://doi.org/10.1109/ACC.2016.7526695
Publication status	Published - 2016
Event	American Control Conference (ACC), 2016 - Boston, MA, United States Duration: 6 Jul 2016 → 8 Jul 2016

Conference

Conference	American Control Conference (ACC), 2016
Abbreviated title	ACC 2016
Country/Territory	United States
City	Boston, MA
Period	6/07/16 → 8/07/16

Keywords

Splines (mathematics)
Cost function
Image reconstruction
Estimation
Convergence
Adaptive optics

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10.1109/ACC.2016.7526695

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@inproceedings{2b5f6a452a2c42c1a752409112ac9708,

title = "A distributed approach for solving wavefront reconstruction problems",

abstract = "We present a novel method to address wavefront reconstruction problems in Adaptive Optics. The underlying estimation problem is formulated using multivariate B-splines and it is shown how the resulting constrained least-squares optimization problem can be solved using the Alternating Direction Method of Multipliers (ADMM). The proposed method is analyzed in terms of convergence and its computational benefits, compared to a centralized approach. The results indicate that due to the much more favorable scaling of the required memory and computational effort, together with good performance, the proposed solution enables solving very large scale real-time wavefront reconstruction problems that appear in next-generation adaptive optics applications.",

keywords = "Splines (mathematics), Cost function, Image reconstruction, Estimation, Convergence, Adaptive optics",

author = "Joao Silva and Tamas Keviczky and Michel Verhaegen",

year = "2016",

doi = "10.1109/ACC.2016.7526695",

language = "English",

isbn = "978-1-4673-8683-8",

pages = "6513--6518",

editor = "K Johnson and Chiu, {G } and Abramovitch, {D }",

booktitle = "Proceedings of the 2016 American Control Conference (ACC 2016)",

publisher = "IEEE Society",

note = "American Control Conference (ACC), 2016, ACC 2016 ; Conference date: 06-07-2016 Through 08-07-2016",

}

Silva, J, Keviczky, T & Verhaegen, M 2016, A distributed approach for solving wavefront reconstruction problems. in K Johnson, G Chiu & D Abramovitch (eds), Proceedings of the 2016 American Control Conference (ACC 2016). IEEE Society, Piscataway, NY, USA, pp. 6513-6518, American Control Conference (ACC), 2016, Boston, MA, United States, 6/07/16. https://doi.org/10.1109/ACC.2016.7526695

A distributed approach for solving wavefront reconstruction problems. / Silva, Joao; Keviczky, Tamas ; Verhaegen, Michel.
Proceedings of the 2016 American Control Conference (ACC 2016). ed. / K Johnson; G Chiu; D Abramovitch. Piscataway, NY, USA: IEEE Society, 2016. p. 6513-6518.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - A distributed approach for solving wavefront reconstruction problems

AU - Silva, Joao

AU - Keviczky, Tamas

AU - Verhaegen, Michel

PY - 2016

Y1 - 2016

N2 - We present a novel method to address wavefront reconstruction problems in Adaptive Optics. The underlying estimation problem is formulated using multivariate B-splines and it is shown how the resulting constrained least-squares optimization problem can be solved using the Alternating Direction Method of Multipliers (ADMM). The proposed method is analyzed in terms of convergence and its computational benefits, compared to a centralized approach. The results indicate that due to the much more favorable scaling of the required memory and computational effort, together with good performance, the proposed solution enables solving very large scale real-time wavefront reconstruction problems that appear in next-generation adaptive optics applications.

AB - We present a novel method to address wavefront reconstruction problems in Adaptive Optics. The underlying estimation problem is formulated using multivariate B-splines and it is shown how the resulting constrained least-squares optimization problem can be solved using the Alternating Direction Method of Multipliers (ADMM). The proposed method is analyzed in terms of convergence and its computational benefits, compared to a centralized approach. The results indicate that due to the much more favorable scaling of the required memory and computational effort, together with good performance, the proposed solution enables solving very large scale real-time wavefront reconstruction problems that appear in next-generation adaptive optics applications.

KW - Splines (mathematics)

KW - Cost function

KW - Image reconstruction

KW - Estimation

KW - Convergence

KW - Adaptive optics

U2 - 10.1109/ACC.2016.7526695

DO - 10.1109/ACC.2016.7526695

M3 - Conference contribution

SN - 978-1-4673-8683-8

SP - 6513

EP - 6518

BT - Proceedings of the 2016 American Control Conference (ACC 2016)

A2 - Johnson, K

A2 - Chiu, G

A2 - Abramovitch, D

PB - IEEE Society

CY - Piscataway, NY, USA

T2 - American Control Conference (ACC), 2016

Y2 - 6 July 2016 through 8 July 2016

ER -

A distributed approach for solving wavefront reconstruction problems

Abstract

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Keywords

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