000132817 001__ 132817
000132817 005__ 20240315113108.0
000132817 0247_ $$2doi$$a10.1364/OE.518466
000132817 0248_ $$2sideral$$a137749
000132817 037__ $$aART-2024-137749
000132817 041__ $$aeng
000132817 100__ $$0(orcid)0000-0002-0601-4820$$aRedo-Sanchez, Albert$$uUniversidad de Zaragoza
000132817 245__ $$aCohesive framework for non-line-of-sight imaging based on Dirac notation
000132817 260__ $$c2024
000132817 5060_ $$aAccess copy available to the general public$$fUnrestricted
000132817 5203_ $$aThe non-line-of-sight (NLOS) imaging field encompasses both experimental and computational frameworks that focus on imaging elements that are out of the direct line-of-sight, for example, imaging elements that are around a corner. Current NLOS imaging methods offer a compromise between accuracy and reconstruction time as experimental setups have become more reliable, faster, and more accurate. However, all these imaging methods implement different assumptions and light transport models that are only valid under particular circumstances. This paper lays down the foundation for a cohesive theoretical framework which provides insights about the limitations and virtues of existing approaches in a rigorous mathematical manner. In particular, we adopt Dirac notation and concepts borrowed from quantum mechanics to define a set of simple equations that enable: i) the derivation of other NLOS imaging methods from such single equation (we provide examples of the three most used frameworks in NLOS imaging: back-propagation, phasor fields, and f-k migration); ii) the demonstration that the Rayleigh-Sommerfeld diffraction operator is the propagation operator for wave-based imaging methods; and iii) the demonstration that back-propagation and wave-based imaging formulations are equivalent since, as we show, propagation operators are unitary. We expect that our proposed framework will deepen our understanding of the NLOS field and expand its utility in practical cases by providing a cohesive intuition on how to image complex NLOS scenes independently of the underlying reconstruction method.
000132817 536__ $$9info:eu-repo/grantAgreement/ES/MICIU/PID2019-105004GB-I00
000132817 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000132817 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000132817 700__ $$0(orcid)0000-0002-5778-1819$$aLuesia-Lahoz, Pablo$$uUniversidad de Zaragoza
000132817 700__ $$0(orcid)0000-0002-7503-7022$$aGutierrez, Diego$$uUniversidad de Zaragoza
000132817 700__ $$0(orcid)0000-0002-8160-7159$$aMuñoz, Adolfo$$uUniversidad de Zaragoza
000132817 7102_ $$15007$$2570$$aUniversidad de Zaragoza$$bDpto. Informát.Ingenie.Sistms.$$cÁrea Lenguajes y Sistemas Inf.
000132817 773__ $$g32, 6 (2024), 10505-10526$$pOpt. express$$tOPTICS EXPRESS$$x1094-4087
000132817 8564_ $$s4307826$$uhttps://zaguan.unizar.es/record/132817/files/texto_completo.pdf$$yVersión publicada
000132817 8564_ $$s2418525$$uhttps://zaguan.unizar.es/record/132817/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000132817 909CO $$ooai:zaguan.unizar.es:132817$$particulos$$pdriver
000132817 951__ $$a2024-03-15-08:50:23
000132817 980__ $$aARTICLE