3-D Representations for Hyperspectral Flame Tomography
Nicolas Tricard, Zituo Chen, and Sili Deng

TL;DR
This paper compares classical voxel-grid and neural representations for 3-D hyperspectral flame tomography, showing voxel-grid with total variation regularization achieves highest accuracy in simulated reconstructions.
Contribution
It provides a quantitative comparison between voxel-grid and neural representations for flame tomography, highlighting the effectiveness of voxel-grid with regularization.
Findings
Voxel-grid with total variation regularizer best reproduces ground-truth flames.
Voxel-grid approach reduces memory and runtime compared to neural methods.
Neural representations show promise but are not yet superior in this context.
Abstract
Flame tomography is a compelling approach for extracting large amounts of data from experiments via 3-D thermochemical reconstruction. Recent efforts employing neural-network flame representations have suggested improved reconstruction quality compared with classical tomography approaches, but a rigorous quantitative comparison with the same algorithm using a voxel-grid representation has not been conducted. Here, we compare a classical voxel-grid representation with varying regularizers to a continuous neural representation for tomographic reconstruction of a simulated pool fire. The representations are constructed to give temperature and composition as a function of location, and a subsequent ray-tracing step is used to solve the radiative transfer equation to determine the spectral intensity incident on hyperspectral infrared cameras, which is then convolved with an instrument…
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