title: Image reconstruction from limited Fourier data.
abstract: We consider the problem of reconstructing a function f with bounded support S from finitely many values of its Fourier transform F. Although f cannot be band limited since it has bounded support, it is typically the case that f can be modeled as the restriction to S of a sigma-band-limited function, say g. Our reconstruction method is based on such a model for f. Of particular interest is the effect of the choice of sigma > 0 on the resolution.
authors.affiliation: Department of Electrical Engineering, Feng Chia University, Seatwen, Taichung, Taiwan 40724. hmshieh@fcu.edu.tw
authors.forename: Hsin M
authors.initials: HM
authors.lastname: Shieh
authors.forename: Charles L
authors.initials: CL
authors.lastname: Byrne