Multigrid Regularized Image Reconstruction for Limited-Data Tomography

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...

Regularized Image Reconstruction for Geostationary Atmospheric Sounders

The concept of microwave sounding from geostationary orbit is now over three decades old and many projects are currently under studies at frequency bands of oxygen (54, 118 and 425 GHz) and water vapor (183 and 380 GHz). The primary advantage of a Geostationary Earth Orbit (GEO) for remote sensing, compared with a Low-Earth Orbit (LEO), is that continuous monitoring is possible over a large are...

Kaczmarz extended algorithm for tomographic image reconstruction from limited-data

The Algebraic Reconstruction Technique (ART), based on the well known algorithm proposed by S. Kaczmarz in 1937, is one of the most important class of solution methods for image reconstruction problems. But unfortunately, almost all the methods from the ART class give satisfactory results only in the case of consistent problems. In the inconsistent case (and unfortunately this is what happens i...