A distributed approach for solving wavefront reconstruction problems

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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 languageEnglish
Title of host publicationProceedings of the 2016 American Control Conference (ACC 2016)
EditorsK Johnson, G Chiu, D Abramovitch
Place of PublicationPiscataway, NY, USA
PublisherIEEE Society
Pages6513-6518
ISBN (Electronic)978-1-4673-8682-1
ISBN (Print)978-1-4673-8683-8
DOIs
Publication statusPublished - 2016
EventAmerican Control Conference (ACC), 2016 - Boston, MA, United States
Duration: 6 Jul 20168 Jul 2016

Conference

ConferenceAmerican Control Conference (ACC), 2016
Abbreviated titleACC 2016
CountryUnited States
CityBoston, MA
Period6/07/168/07/16

Keywords

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

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  • Cite this

    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) (pp. 6513-6518). IEEE Society. https://doi.org/10.1109/ACC.2016.7526695