Title :
On the reconstruction of band-limited multidimensional signals from algebraic sampling contours
Author_Institution :
IBM Research Laboratory, San Jose, CA, USA
Abstract :
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.
Keywords :
Equations; Fourier transforms; Frequency; Image reconstruction; Interpolation; Multidimensional systems; Polynomials; Sampling methods; Tomography; X-ray diffraction;
Journal_Title :
Proceedings of the IEEE
DOI :
10.1109/PROC.1985.13286
