Combustion phenomena are complex in theory and expensive to test, analysis techniques provide handles with which we may describe them. Just as simultaneous experimental tech- niques provide complementary descriptions of flame behavior, one might assume that no analysis technique for any kind of flame measurement would cover the full description of the flame. To this end, the search continues for complementary descriptions of engineering flames that capture enough information for the engine designer to make informed decisions. The kinds of flames I have encountered are high pressure transverse jet flames issuing into a vitiated crossflow which is itself generated from combustion of a gaseous fuel and oxidizer. Summarizing the behavior of these flames has required my understanding of experimen- tal techniques such as Planar Laser Induced Fluorescence of a reaction intermediate -OH, Particle Image Velocimetry of a passive tracer in the flame and OH * chemiluminescence of another reaction intermediate. The analysis tools applied to these measurements must reveal as much information as is laden in these measurements. In this work I have also used wavelet optical flow to track flow features in the visualization of combustion intermediates using OH * chemiluminescence. There are many limitations to the application of this technique to engineering flames especially due to the interpretation of the data as a 2-D motion field in 3-D world. The interpretation of such motion fields as generated by scalar fields is one subject matter discussed in this dissertation. Some inferences from the topology of the ensuing velocity field has provided insight to the behavior of reacting turbulent flows which appear attached to an injector in the mean field. It gives some understanding to the robustness of the attachment mechanism when such flames are located near walls.