Restoration of images of finite extent objects by a singular value decomposition technique

Extrapolation of the Fourier spectrum of an object of finite extent is treated as an algebraic restoration problem. Available samples of the spectrum or the image are modeled as arising due to a matrix transformation of the vector representing the object or the extrapolated part of the spectrum. A singular value decomposition of the matrix transformation is used to obtain a minimum norm estimate for the object. Simulation results for 1-D objects are presented.