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Rapid determination of particle velocity from space-time images using the Radon transform

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Abstract

Laser-scanning methods are a means to observe streaming particles, such as the flow of red blood cells in a blood vessel. Typically, particle velocity is extracted from images formed from cyclically repeated line-scan data that is obtained along the center-line of the vessel; motion leads to streaks whose angle is a function of the velocity. Past methods made use of shearing or rotation of the images and a Singular Value Decomposition (SVD) to automatically estimate the average velocity in a temporal window of data. Here we present an alternative method that makes use of the Radon transform to calculate the velocity of streaming particles. We show that this method is over an order of magnitude faster than the SVD-based algorithm and is more robust to noise.

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Acknowledgements

We thank Daniel N. Hill and Philbert S. Tsai for helpful discussions and two anonymous reviewers for constructive comments. This work was funded by the National Institutes of Health (EB003832, NS059832, RR021907, and MH085499 to DK; AG029681 to GC), the National Science Foundation (DBI0455027 to DK), a Bikura fellowship from the Israeli Science Foundation (to PB), and a Canadian Institute of Health post-doctoral fellowship (to AYS).

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Authors and Affiliations

  1. Department of Physics, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA, 92093, USA

    Patrick J. Drew, Pablo Blinder, Andy Y. Shih & David Kleinfeld

  2. Section on Neurobiology, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA, 92093, USA

    Gert Cauwenberghs

  3. Graduate Program in Neurosciences, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA, 92093, USA

    Gert Cauwenberghs & David Kleinfeld

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  1. Patrick J. Drew
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  2. Pablo Blinder
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  3. Gert Cauwenberghs
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  4. Andy Y. Shih
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  5. David Kleinfeld
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Correspondence to David Kleinfeld.

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Drew, P.J., Blinder, P., Cauwenberghs, G. et al. Rapid determination of particle velocity from space-time images using the Radon transform. J Comput Neurosci 29, 5–11 (2010). https://doi.org/10.1007/s10827-009-0159-1

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  • DOI: https://doi.org/10.1007/s10827-009-0159-1

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