1. A method of producing a profile of a parameter in a region of a gas turbine engine, comprising: for each of a plurality of linear paths traversing the region, determining, by a processor, a measured average value of the parameter along the linear path; defining, by the processor, at least one function for describing the profile of the parameter in the region; for each of the plurality of linear paths traversing the region, evaluating, by the processor, the at least one function along the linear path to determine a calculated average value of the parameter along the linear path; for each of the plurality of linear paths traversing the region, making a comparison, by the processor, of the measured average value with the calculated average value to determine a measure of differences between the measured average values and the calculated average values; and based on the comparison, adjusting, by the processor, the at least one function and repeating the operations of evaluating the at least one function and making the comparison until the measure of differences between the measured average values and the calculated average values is below an error threshold, controlling, by the processor, a combustion process of the gas turbine engine based on the produced profile of the parameter.