On the Reconstruction of Band-Limited Multidimensional Signals from Algebraic Sampling Contours

In this letter we pose and answer the following question: Is a band-limited multidimensional signal uniquely determined by a continuous set of samples whose location is given by the zeroes of a polynomial equation? Applications to the theory of reconstruction of finite-extent objects from a set of generalized projections are discussed including the classical problems of parallel X-ray and diffraction tomography. Copyright © 1985 by The Institute of Electrical and Electronics Engineers, Inc.