On the reconstruction of band-limited multidimensional signals from algebraic sampling contours

1 January 1985

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE

Vol. 73 (8) , 1334-1336
https://doi.org/10.1109/PROC.1985.13286

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

MULTIDIMENSIONAL SYSTEMS
SAMPLING METHODS
FOURIER TRANSFORMS
POLYNOMIALS
IMAGE RECONSTRUCTION
TOMOGRAPHY
FREQUENCY
INTERPOLATION
EQUATIONS
X-RAY DIFFRACTION

This publication has 0 references indexed in Scilit: