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dc.contributor.authorEl Guendy, Miguel De V
dc.contributor.authorMouthaan, Ralf
dc.contributor.authorKadis, Andrew
dc.contributor.authorWang, Youchao
dc.contributor.authorNiculescu, Oana
dc.contributor.authorSoliman, AMR
dc.contributor.authorMilne, Darran
dc.contributor.authorKaczorowski, Andrzej
dc.contributor.authorWilkinson, Timothy D
dc.description.abstract<jats:p>The Cimmino algorithm is an iterative algorithm used for solving linear equations (<jats:italic>Ax</jats:italic> = <jats:italic>b</jats:italic>) and is part of a wider family of algebraic reconstruction algorithms. Despite being used in computed tomography and digital signal processing, we present an approach for using it in holographic projections in the Fraunhofer region. Following the work carried out by our group on Kaczmarz holography, an earlier algebraic linear equation solver, we compare the performance and speed of Cimmino against this algorithm. Three versions of the Cimmino algorithm, Cimmino full, Cimmino eye, and Cimmino FFT, are evaluated and compared to both Kaczmarz and Gerchberg-Saxton. Interestingly, the derivation and simplification of Kaczmarz and Cimmino leads to the input-output algorithm originally derived by Fienup and while the solution is well-known, the link between these algorithms is not and despite being around since the 1930s, it was originally used to solve linear equations and not phase retrieval. While the Cimmino full and Cimmino eye reflect fairly poorly against Cimmino FFT and Kaczmarz in terms of image quality and speed, the Cimmino FFT delivers better results in terms of image quality than all algorithms considered. It is significantly faster than Kaczmarz, being only a few milliseconds slower than Gerchberg-Saxton.</jats:p>
dc.publisherOptica Publishing Group
dc.rightsAttribution 4.0 International
dc.titleCimmino simultaneously iterative holographic projection
dc.publisher.departmentDepartment of Engineering
prism.publicationNameOPTICS CONTINUUM
dc.contributor.orcidEl Guendy, Miguel de V [0000-0002-8655-8253]
dc.contributor.orcidKadis, Andrew [0000-0002-4886-3863]
dc.contributor.orcidWang, Youchao [0000-0002-4197-8123]
rioxxterms.typeJournal Article/Review
pubs.funder-project-idEPSRC (EP/T008369/1)
pubs.funder-project-idEPSRC (2108797)
pubs.funder-project-idEngineering and Physical Sciences Research Council (EP/L015455/1)
cam.orpheus.success2022-04-19 - Embargo set during processing via Fast-track
pubs.licence-display-nameApollo Repository Deposit Licence Agreement

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Attribution 4.0 International
Except where otherwise noted, this item's licence is described as Attribution 4.0 International