Comparative analysis of feedback methods in reconstruction algorithms for multiple-scattering holographic tomography

Julianna Winnik , Damian Suski , Tomasz Kozacki

Abstract

Holographic tomography (HT) enables measurement of three-dimensional refractive index distribution of transparent micro-objects by merging information from multiple transmitted waves corresponding to various illumination directions. HT has proven its great potential in technical inspection and biomedical studies; nonetheless, its further progress is hindered by inability of the standard reconstruction algorithms to account for multiple scattering. This limitation has been recently addressed with a few novel reconstruction approaches. In those techniques the tomographic reconstruction is iteratively improved by minimizing discrepancy between the experimentally acquired transmitted fields uE(x,y) and the analogical data uq(x,y) obtained via numerical propagation of the incident beams through the current refractive index estimate nq(x,y,z). The accuracy of these multiple-scattering reconstruction methods depends primarily on two features: (1) the forward model that allows computing the transmitted fields uq; (2) the feedback mechanism that converts uE - uq discrepancy into the reconstruction upgrade nq+1=nq+Δnq+1. In our work, we address the first issue with the wave propagation method that represents a reasonable trade-off between accuracy and time of computation. The paper focuses primary on the second issue, i.e. the feedback mechanism, that considerably influences the performance of the multiple-scattering reconstruction methods. In our work, we cross-analyze two feedback solutions, i.e. the gradient descent and the forwardbackward method. The performance of these solutions is tested via numerical simulations on different types of samples: step-objects representing technical samples and gradient structures emulating biological specimens. Our study investigates accuracy of the reconstruction, time of computation as well as stability and flexibility of the feedback method.
Author Julianna Winnik (FM / IMPh)
Julianna Winnik,,
- The Institute of Micromechanics and Photonics
, Damian Suski (FM / IACR)
Damian Suski,,
- The Institute of Automatic Control and Robotics
, Tomasz Kozacki (FM / IMPh)
Tomasz Kozacki,,
- The Institute of Micromechanics and Photonics
Pages1-15
Publication size in sheets0.7
Article number110562T
Book Lehmann Peter , Osten Wolfgang, Gonçalves Jr. Armando Albertazzi (eds.): Proceedings of SPIE: Optical Measurement Systems for Industrial Inspection XI, Proceedings of SPIE: The International Society for Optical Engineering, vol. 11056, 2019, SPIE – The International Society for Optics and Photonics
Keywords in Englishholographic tomography, diffraction optical tomography, multiple scattering, tomographic reconstruction algorithms, refractive index measurement, optimization, feedback, wave propagation method
DOIDOI:10.1117/12.2527408
URL https://www.spiedigitallibrary.org/conference-proceedings-of-spie/11056/2527408/Comparative-analysis-of-feedback-methods-in-reconstruction-algorithms-for-multiple/10.1117/12.2527408.full
project[2015/17/B/ST8/02220 POLON] HoloTomo4D: Szybka cyfrowa mikroskopia holograficzna i tomograficzna z dynamiczną modulacją oświatlającego frontu falowego. . Project leader: Kozacki Tomasz, , Phone: +48 22234-8518, application date 12-06-2015, start date 01-01-2016, planned end date 31-12-2018, Implemented
WM Projects financed by NSC [Projekty finansowane przez NCN]
Languageen angielski
Score (nominal)20
Score sourcepublisherList
ScoreMinisterial score = 20.0, 20-10-2019, ChapterFromConference
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