Computed tomography of chemiluminescence (CTC) is an effective
technique for three-dimensional (3D) combustion diagnostics. It
reconstructs the 3D concentrations of intermediate species or 3D
images of flame topology by multiple chemiluminescence projections
captured from different perspectives. In the previous studies of CTC
systems, it was assumed that projections from arbitrary perspectives
are available. However, for some practical applications, the range of
view angles and the number of projections might be restricted due to
the optical access limitation, greatly affecting the reconstruction
quality. In this paper, the exact reconstruction condition for
angle-limited computed tomography of chemiluminescence was studied
based on Mojette transform theories, and it was demonstrated by
numerical simulations and experiments. The studies indicate that the
object tested within limited angles can be well reconstructed when the
number of grids, the number of projections, and the sampling rate of
projections satisfy the exact reconstruction condition. By increasing
the sampling rate of projections, high-quality tomographic
reconstruction can be achieved by a few projections in a small angle
range. Although this technique is discussed under combustion
diagnostics, it can also be used and adapted for other tomography
methods.
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