Forward and inverse modeling of depth-of-field effects in background-oriented schlieren

Fuente: arXiv
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Hauptverfasser: Molnar, Joseph P., LaLonde, Elijah J., Combs, Christopher S., Léon, Olivier, Donjat, David, Grauer, Samuel J.
Format: Preprint
Veröffentlicht: 2024
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author Molnar, Joseph P.
LaLonde, Elijah J.
Combs, Christopher S.
Léon, Olivier
Donjat, David
Grauer, Samuel J.
author_facet Molnar, Joseph P.
LaLonde, Elijah J.
Combs, Christopher S.
Léon, Olivier
Donjat, David
Grauer, Samuel J.
contents We report a novel "cone-ray" model of background-oriented schlieren (BOS) imaging that accounts for depth-of-field effects. Reconstructions of the density field performed with this model are far more robust to the blur associated with a finite aperture than conventional reconstructions, which presume a "thin-ray" pinhole camera. Our model is characterized and validated using forward evaluations based on simulated and experimental BOS measurements of buoyancy-driven flow and hypersonic flow over a sphere. Moreover, we embed the model in a neural reconstruction algorithm, which is demonstrated with a total variation penalty as well as the compressible Euler equations. Our cone-ray technique dramatically improves the accuracy of BOS reconstructions: the shock interface is well-resolved in all our tests, irrespective of the camera's aperture setting, which spans f-numbers from 22 down to 4.
format Preprint
id arxiv_https___arxiv_org_abs_2402_15954
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Forward and inverse modeling of depth-of-field effects in background-oriented schlieren
Molnar, Joseph P.
LaLonde, Elijah J.
Combs, Christopher S.
Léon, Olivier
Donjat, David
Grauer, Samuel J.
Fluid Dynamics
We report a novel "cone-ray" model of background-oriented schlieren (BOS) imaging that accounts for depth-of-field effects. Reconstructions of the density field performed with this model are far more robust to the blur associated with a finite aperture than conventional reconstructions, which presume a "thin-ray" pinhole camera. Our model is characterized and validated using forward evaluations based on simulated and experimental BOS measurements of buoyancy-driven flow and hypersonic flow over a sphere. Moreover, we embed the model in a neural reconstruction algorithm, which is demonstrated with a total variation penalty as well as the compressible Euler equations. Our cone-ray technique dramatically improves the accuracy of BOS reconstructions: the shock interface is well-resolved in all our tests, irrespective of the camera's aperture setting, which spans f-numbers from 22 down to 4.
title Forward and inverse modeling of depth-of-field effects in background-oriented schlieren
topic Fluid Dynamics
url https://arxiv.org/abs/2402.15954