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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We are concerned with an iterative inversion of the Generalized Attenuated Radon Transform (GART) first introduced by Kunyansky (1992). It is essentially based on approximating the inverse of GART by a scaled inverse Radon transform followed by an appropriate iterative refinement. This paper presents a convergence proof for this iterative method introducing tighter and computable estimates (compared to Kunyansky) for the iteration contraction constants. As expected, such constants depend on the attenuation parameter   , i.e., the higher    is, the closer the constant is to one yielding slow convergence to the solution. Such values are compared with those obtained using the infinite-dimensional version of the power method by Kreĭn and Rutman (1950).

On the iterative inversion of generalized attenuated Radon transforms