English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

An explicit formula is presented for reconstructing a This article derives an explicit formula for the integer values finite-support object defined on a lattice of points and taking on inteof a finite support object, defined on a lattice, from its projections ger values from a finite number of its discrete projections over a (Radon transform) at a finite number of angles over a limited limited range of angles. Extensive use is made of the discrete Fourier range. It does not require the solution of a linear system of equatransform in doing so. The approach in this article computes the tions, and it is not iterative. The formula expresses the object object sample values directly as a linear combination of the projecvalues as linear combinations of the projection values (all integertions sample values. The well-known ill-posedness of the limited angle valued) using precomputed coefficients; nowhere in the procetomography problem manifests itself in some very large coefficients dure is even a division required. This provides the following in these linear combinations; these coefficients (which are computed advantages over previous approaches: off-line) provide a direct sensitivity measure of the reconstruction samples to the projections samples. The discrete nature of the problem implies that the projections must also take on integer values; 1. The solution of an large ill-posed linear system of equations this means noise can be rejected. This makes the formula practical. is avoided, eliminating error due to computational noise q 1998 John Wiley & Sons, Inc. Int J Imaging Syst Technol, 9, 174–180, 1998 (roundoff error) ; 2. There are no iterative algorithms, whose requirement of

An explicit closed-form solution to the limited-angle discrete tomography problem for finite-support objects