Light field reconstruction from scattered light using plenoptic data

Takahiro Sasaki, James R. Leger

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We investigate the utility of plenoptic data for extracting information from a scene where the light from objects in the scene is viewable only after scattering from a surface such as a wall. We derive the rigorous relationship between the object and the scattered light, which is cast in terms of a system of Fredholm integral equations of the first kind with the bidirectional reflectance distribution function (BRDF) of the scattering surface; further, the object information is reconstructed by solving the equations. Based on the Fourier transformation, we propose a simple BRDF model and analyze the reconstruction errors by introducing newly defined parameters reflecting the BRDF’s characteristics, i.e., the degree of specularity and the effective SNR, and obtain optimal regularized solutions under a variety of surface BRDFs. Moreover, we provide a fundamental limit of retrievable information content from the scattered light. A comparison with experimental results is reported.

Original languageEnglish (US)
Pages (from-to)653-670
Number of pages18
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume37
Issue number4
DOIs
StatePublished - Apr 1 2020

Bibliographical note

Funding Information:
Defense Advanced Research Projects Agency (DARPA) REVEAL Program (HR0011-16-C-0024 P000005). Sasaki designed the study, performed experiments, and drafted the paper. Leger provided the fundamental concept of this study and its experimental realization. Both authors read and approved the final paper. We would like to thank Connor Hashemi for his help with the experiments. We would also like to thank Dr. William Kunkel, Prof. Jarvis Haupt, and Prof. Joseph Talghader for meaningful technical discussions and Prof. James Fienup from the University of Rochester for detailed feedback to our work.

Publisher Copyright:
© 2020 Optical Society of America.

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