Finn Lindgren, Matematisk statistik i Lund: Flame reconstruction by Markov Chain Monte Carlo simulation Abstract: In combustion engineering it is of interest to determine the properties of flame propagation, such as the flame volume and area at a given time after ignition. To this end, several orthogonal image pairs, one for each cycle, of the flame in a spark ignition engine have been obtained, as well as measurements of several other quantities. The flame is modelled as a deformed ellipsoid, using Markov Random Fields. The flame model is combined with a model for the two orthogonal views to obtain sample flame reconstructions using MCMC. The reconstruction algorithm works without help from an operator, and is able to estimate the areas of the cooling surfaces by subtracting the spark plug and cylinder walls from the flames. A complete MATLAB implementation of the algorithm has been made.