2017
DOI: 10.1364/josaa.34.001063
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Stochastic calculus analysis of optical time-of-flight range imaging and estimation of radial motion

Abstract: Time-of-flight range imaging is analysed 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 analysing the measured correlation waveform and its first derivative. The methods are tested in a simulated motion experiment from (−40)-(+40) m/s, with data from a camera imaging an objec… Show more

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Cited by 7 publications
(7 citation statements)
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“…This problem has drawn significant attention over many years, leading to fast solutions like autoregression based methods [1], [2] that require a substantial number of samples, to slower methods that work on limited samples, such as multiple signal classification (MUSIC) [3], [4]. Statistical estimators improve accuracy but, again, often at the cost of computation time and power [5]. Iterative schemes [5], [6] are also performant and flexible but, at the same costs as statistical techniques.…”
Section: Introductionmentioning
confidence: 99%
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“…This problem has drawn significant attention over many years, leading to fast solutions like autoregression based methods [1], [2] that require a substantial number of samples, to slower methods that work on limited samples, such as multiple signal classification (MUSIC) [3], [4]. Statistical estimators improve accuracy but, again, often at the cost of computation time and power [5]. Iterative schemes [5], [6] are also performant and flexible but, at the same costs as statistical techniques.…”
Section: Introductionmentioning
confidence: 99%
“…Statistical estimators improve accuracy but, again, often at the cost of computation time and power [5]. Iterative schemes [5], [6] are also performant and flexible but, at the same costs as statistical techniques.…”
Section: Introductionmentioning
confidence: 99%
See 2 more Smart Citations
“…Taking inspiration from stochastic modelling of ToF imaging [3], we investigate the financial modelling method of the stochastic oscillator [4], as well as auto correlation, to normalize unwanted parameters from the ToF data.…”
Section: Introductionmentioning
confidence: 99%