This paper presents computing algorithms for the tomographic reconstruction of the luminosity distribution of a combustion flame from its two-dimensional images captured simultaneously by CCD cameras. Two reconstruction algorithms, filtered back-projection and algebraic reconstruction, are described. A direct comparison between the two approaches is made in respect of their reconstruction effectiveness through computer simulation for a varying number of projections. Images of candle and gaseous flames are used to test the effectiveness of the algorithms developed. The outcome of the investigation has led to the establishment of an improved method for the reconstruction of the luminosity distribution of flame cross-sections and ultimately the quantitative characterization of the inter-structures of a combustion flame