Computational methods for a large-scale inverse problem arising in atmospheric optics

摘要: The inverse problem of interest is the reconstruction of an astronomical object and wavefront aberrations due to atmospheric turbulence from a sequence of short time exposure (speckle) phase diversity images obtained from a ground-based telescope. A regularized least squares approach is taken, and two numerical techniques are applied to the resulting unconstrained optimization problem. The first technique is the limited memory BFGS method with line search globalization. The second is a Newton/trust region iteration in which the trust …