Generalized Wiener reconstruction of images from colour sensor data using a scale invariant prior

Abstract

An algorithm is described for reconstructing images from colour sensor samples, which need not be aligned nor conform to a rectangular sampling geometry. The algorithm has applications in de-mosaicing digital camera color filter array (CFA) data, and processing other imaging modalities such as scanned images and captured video. A unique scale invariant WSS prior model is described for the uncorrupted surface spectral reflectance functions and used to form linear least mean squared error (LLMSE) optimal reconstructions with constrained support operators. Some important results are established concerning the existence and tractability of the solutions based on this prior.