We consider the problem of reconstructing an object function f (r) from finitely many linear
functional values. In our main application, the function f (r) is a tomographic image, and the …

If a spatial-domain function has a finite support, its Fourier transform is an entire function.
The Taylor series expansion of an entire function converges at every finite point in the …

An iterative technique is proposed for improving the quality of reconstructions from
projections when the number of projections is small or the angular range of projections is …

A new reconstruction algorithm is introduced to obtain a high quality computerized
tomography image from limited information. There are many practical cases in which only …

Error estimates for tomographic reconstructions (using Fourier transform-based algorithm)
are available for cases where projection data are available. These data are used for …

We formulate the tomographic reconstruction problem in a variational setting. The object to
be reconstructed is considered as a continuous density function, unlike in the pixel-based …

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 …

The ambiguity involved in reconstructing an image from limited Fourier data is removed
using a new technique that incorporates prior knowledge of the location of regions …

A Computation for Tomographic Reconstruction from Projections Page 1 A Computation for
Tomographic Reconstruction from Projections Bui Doan Khanh Mathematics Department …

Five limited-data computed tomography algorithms are compared. The algorithms used are
adapted versions of the algebraic reconstruction technique, the multiplicative algebraic …