<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Motivated by plane wave ultrasound image velocimetry (a.k.a. Echo PIV), we introduce a novel method to globally estimate the velocity field of a laminar and steady flow from the motion of tracer particles. Our approach exploits the fact that the equation of motion for pipe flows of constant circular cross-section is governed by a single global but unknown parameter. We connect this parameter to the Fourier spectrum of the input image sequence of the tracer particles and formulate our motion estimation problem as a spectral support estimation problem. The approach is validated on both simulated and experimental real data. It returns accurate velocity estimates after few seconds runtime and effectively copes with speckle patterns and noise.</p></abstract>

Motivated by plane wave ultrasound image velocimetry (a.k.a. Echo PIV), we introduce a novel method to globally estimate the velocity field of a laminar and steady flow from the motion of tracer particles. Our approach exploits the fact that the equation of motion for pipe flows of constant circular cross-section is governed by a single global but unknown parameter. We connect this parameter to the Fourier spectrum of the input image sequence of the tracer particles and formulate our motion estimation problem as a spectral support estimation problem. The approach is validated on both simulated and experimental real data. It returns accurate velocity estimates after few seconds runtime and effectively copes with speckle patterns and noise.

A Spectral Approach to Peak Velocity Estimation of Pipe Flows from Noisy Image Sequences

ecaterina.bodnariuc@iwr.uni-heidelberg.de

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Motivated by plane wave ultrasound image velocimetry (a.k.a. Echo PIV), we introduce a novel method to globally estimate the velocity field of a laminar and...

A Spectral Approach to Peak Velocity Estimation of Pipe Flows from Noisy Image Sequences

Published Online: Nov 22, 2018

Page range: 41 - 58

Received: Apr 01, 2017

Accepted: Jul 01, 2017

DOI: https://doi.org/10.2478/auom-2018-0017

Keywords
Harmonic image sequence analysis, image motion estimation, Echo PIV

© 2018 Ecaterina Bodnariuc, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A Spectral Approach to Peak Velocity Estimation of Pipe Flows from Noisy Image Sequences

Published Online: Nov 22, 2018

Page range: 41 - 58

Received: Apr 01, 2017

Accepted: Jul 01, 2017

DOI: https://doi.org/10.2478/auom-2018-0017

KeywordsHarmonic image sequence analysis, image motion estimation, Echo PIV

© 2018 Ecaterina Bodnariuc, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Harmonic image sequence analysis, image motion estimation, Echo PIV