In this project I apply the concepts and techniques learned in Applied Computational Harmonic Analysis (ACHA) to my research. I am currently developing fast wave-front reconstruction techniques for high-order Adaptive Optics systems. The fast reconstruction technique which we plan on using is based on the DFT. Reconstruction and optional filtering occur in the frequency domain. This is a significantly different approach than current methods of wave-front reconstruction, which use a matrix multiply to do the reconstruction. The latest advances in these methods use modal control, which effectively seeks to control individual modes (or basis functions) as opposed to the signal on a point-by-point basis. These techniques can be adapted to incorporate statistical knowledge. My research task to is figure out how to do such a modal approach with my fast reconstructor. This project report is divided into several sections. In the first section I summarize Adaptive Optics concepts and discuss the problem of wave-front reconstruction in greater detail. Following this is a brief summary of the most applicable concepts and techniques from ACHA that will be applied to the problem. The application of these techniques is then discussed.