Characterization of turbulence in the atmosphere and mitigation of its effects in optical systems are important capabilities in both commercial and military applications. We present an image processing approach that jointly characterizes the magnitude of turbulence in the atmosphere and mitigates the adverse effects imposed on optical imaging systems. The magnitude of turbulence is measured indirectly through a series of image frames in terms of the atmospheric coherence length. We believe the results demonstrate the utility of the approach on both simulated and experimental data.