We describe a method for generating a high resolution image or target identifier from limited
sampled noisy Fourier data. These data are assumed to be collected from either limited …

We discuss the problem associated with obtaining an image of an object from the magnitude
of its Fourier transform. This problem arises in many imaging applications. We discuss some …

A measurement technique for collecting scattered field data around a small solid angle in
the backscatter direction is described. Given these highpass filtered data, a number of …

The ill-posed inverse problem is not an issue that is only restricted to optical tomography, but
indeed a very common issue in image reconstruction problems in astronomy, geological …

We consider inverse problem in a very broad sense: the desire to extract information
regarding an unknown quantity based on data related via some type of mathematical model …

This paper is concerned with the estimation of underlying discontinuous functions from error-
contaminated and blurred observations. Such problems occur in a number of important …

In tomographic imaging, a set of projection images is acquired from different view angles by
directing a beam of radiation (eg, X-rays) to the object and recording the intensity profile of …

We consider the problem of imaging sparse scenes from a few noisy data using an-
minimization approach. This problem can be cast as a linear system of the form, where is an …

Solving inverse problems is an important part of scientific computing. As computers be-come
more powerful, solutions to increasingly larger problems are sought, allowing for more …

We often encounter situations where it is quite difficult to interpret uniquely our observations
of the world. These observations can be seen as incomplete measurement data but luckily …