Fast disambiguation of superimposed images for increased field of view

Many infrared optical systems in wide-ranging applications such as surveillance and security frequently require large fields of view. Often this necessitates a focal plane array (FPA) with a large number of pixels, which, in general, is very expensive. In this paper, we propose a method for increasing the field of view without increasing the pixel resolution of the FPA by superimposing the multiple subimages within a scene and disambiguating the observed data to reconstruct the original scene. This technique, in effect, allows each subimage of the scene to share a single FPA, thereby increasing the field of view without compromising resolution. To disambiguate the subimages, we develop wavelet regularized reconstruction methods which encourage sparsity in the solution. We present results from numerical experiments that demonstrate the effectiveness of this approach.