Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/162766
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dc.contributor.authorWu, Gaoxuen_US
dc.contributor.authorYang, Tianen_US
dc.contributor.authorLiu, Feien_US
dc.contributor.authorQian, Kemaoen_US
dc.date.accessioned2022-11-08T06:36:57Z-
dc.date.available2022-11-08T06:36:57Z-
dc.date.issued2022-
dc.identifier.citationWu, G., Yang, T., Liu, F. & Qian, K. (2022). Suppressing motion-induced phase error by using equal-step phase-shifting algorithms in fringe projection profilometry. Optics Express, 30(11), 17980-17998. https://dx.doi.org/10.1364/OE.459087en_US
dc.identifier.issn1094-4087en_US
dc.identifier.urihttps://hdl.handle.net/10356/162766-
dc.description.abstractPhase-shifting fringe projection profilometry is a widely used and important technique for three-dimensional surface measurement, where N-step fixed-step phase-shifting algorithms are commonly used. With a pressing need to apply this technique for dynamic object/scene measurement, the motion-induced error poses a challenge in achieving high measurement accuracy. A few correction methods have been developed by involving physical markers or complicated algorithms. In this paper, the equal-step phase-shifting algorithms are proposed as a simpler yet more effective solution. By approximating the phase variations as unknown but linear phase shifts, the equal-step algorithms are naturally immune to object motion. In particular, two classical algorithms, including the four-step Carré algorithm and the five-step Stoilov algorithm, are adopted. Furthermore, a novel three-step gradient-based equal-step phase-shifting (GEPS) algorithm is proposed. These equal-step algorithms are studied through comprehensive simulations and experiments, showing that, (i) the equal-step algorithms are all effective in greatly suppressing the motion-induced errors in both ideal and noisy situations; and (ii) among the three algorithms, the Stoilov algorithm is more robust to handle the object motion and the harmonics simultaneously, while the GEPS requires a least number of frames. This study will urge the use of the equal-step algorithms for phase extraction in dynamic profilometry for immediate motion-error suppression by merely implementing a single phase-calculation equation.en_US
dc.description.sponsorshipMinistry of Education (MOE)en_US
dc.language.isoenen_US
dc.relationMOE-T2EP20220-0008en_US
dc.relation.ispartofOptics Expressen_US
dc.rights© 2022 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement.en_US
dc.subjectEngineering::Computer science and engineeringen_US
dc.titleSuppressing motion-induced phase error by using equal-step phase-shifting algorithms in fringe projection profilometryen_US
dc.typeJournal Articleen
dc.contributor.schoolSchool of Computer Science and Engineeringen_US
dc.identifier.doi10.1364/OE.459087-
dc.description.versionPublished versionen_US
dc.identifier.pmid36221608-
dc.identifier.scopus2-s2.0-85130445704-
dc.identifier.issue11en_US
dc.identifier.volume30en_US
dc.identifier.spage17980en_US
dc.identifier.epage17998en_US
dc.subject.keywordsFringe Projection Profilometryen_US
dc.subject.keywordsPhase Erroren_US
dc.description.acknowledgementMinistry of Education - Singapore (MOE-T2EP20220-0008); Key Technologies Research and Development Program (2018YFB2001400).en_US
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