Stochastic calculus analysis of optical time-of-flight range imaging and estimation of radial motion
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Streeter, 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.34.001063
Permanent Research Commons link: https://hdl.handle.net/10289/11523
Time-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.
Optical Society of America
This 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.