Stochastic calculus analysis of optical time-of-flight range imaging and estimation of radial motion

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dc.contributor.authorStreeter, Leeen_NZ
dc.date.accessioned2017-11-29T22:07:24Z
dc.date.available2017en_NZ
dc.date.available2017-11-29T22:07:24Z
dc.date.issued2017en_NZ
dc.description.abstractTime-of-flight range imaging is analyzed using stochastic calculus. Through a series of interpretations and simplifications, the stochastic model leads to two methods for estimating linear radial velocity: maximum likelihood estimation on the transition probability distribution between measurements, and a new method based on analyzing the measured correlation waveform and its first derivative. The methods are tested in a simulated motion experiment from (−40)−(+40)  m/s(−40)−(+40)  m/s, with data from a camera imaging an object on a translation stage. In tests maximum likelihood is slow and unreliable, but when it works it estimates the linear velocity with standard deviation of 1 m/s or better. In comparison the new method is fast and reliable but works in a reduced velocity range of (−20)−(+20)  m/s(−20)−(+20)  m/s with standard deviation ranging from 3.5 m/s to 10 m/s.en_NZ
dc.format.mimetypeapplication/pdf
dc.identifier.citationStreeter, L. V. (2017). Stochastic calculus analysis of optical time-of-flight range imaging and estimation of radial motion. Journal of the Optical Society of America A, 34(7), 1063–1072. https://doi.org/10.1364/JOSAA.34.001063en
dc.identifier.doi10.1364/JOSAA.34.001063en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/11523
dc.language.isoen
dc.publisherOptical Society of Americaen_NZ
dc.relation.isPartOfJournal of the Optical Society of America Aen_NZ
dc.relation.urihttps://www.osapublishing.org/en_NZ
dc.rightsThis is an author’s accepted version of an article published in the journal: Journal of the Optical Society of America A. © 2017 Optical Society of America.
dc.subjectVelocimetry
dc.subjectLidar
dc.subjectThree-dimensional image acquisition
dc.titleStochastic calculus analysis of optical time-of-flight range imaging and estimation of radial motionen_NZ
dc.typeJournal Article
pubs.begin-page1063
pubs.elements-id194732
pubs.end-page1072
pubs.issue7en_NZ
pubs.organisational-group/Waikato
pubs.organisational-group/Waikato/2018 PBRF
pubs.organisational-group/Waikato/FSEN
pubs.organisational-group/Waikato/FSEN/2018 PBRF - FSEN
pubs.organisational-group/Waikato/FSEN/School of Engineering
pubs.organisational-group/Waikato/FSEN/School of Engineering/2018 PBRF - School of Engineering
pubs.owner.emailstreeter@waikato.ac.nz
pubs.owner.nameStreeter, Lee
pubs.publisher-urlhttps://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-34-7-1063en_NZ
pubs.user.infoStreeter, Lee (streeter@waikato.ac.nz)
pubs.volume34en_NZ
uow.verification.statusverified
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