Experiments relying on tomographic reconstruction of soot emission and absorption offer relatively simple and inexpensive ways to image both soot concentration and temperature in axisymmetric flames. Because the tomography problem is mathematically ill-posed, however, special measures have to be taken to ensure an accurate solution. This paper describes the application of one such measure, Tikhonov regularization. Its performance is evaluated for a one-dimensional test problem, at different flame heights, resolutions, and noise levels. Finally, Tikhonov regularization for the two-dimensional problem is formulated and discussed.
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