PCM-TV-TFV: A Novel Two-Stage Framework for Image Reconstruction from Fourier Data

PCM-TV-TFV: A Novel Two-Stage Framework for Image Reconstruction from Fourier Data

We propose in this paper a novel two-stage Projection Correction Modeling (PCM) framework for image reconstruction from (non-uniform) Fourier measurements. PCM consists of a projection stage (P-stage) motivated by the multi-scale Galerkin method and a correction stage (C-stage) with an edge guided regularity fusing together the advantages of total variation (TV) and total fractional variation (...

Image Reconstruction from Incomplete Data

Image Reconstruction from Incomplete Data

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 e...

image reconstruction from incomplete data

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