Image reconstruction from limited Fourier data.
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.
Shieh
Hsin M
HM
Department of Electrical Engineering, Feng Chia University, Seatwen, Taichung, Taiwan 40724. hmshieh@fcu.edu.tw
Byrne
Charles L
CL