Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


A range characterization of the single-quadrant ADRT
HTML articles powered by AMS MathViewer

by Weilin Li, Kui Ren and Donsub Rim HTML | PDF
Math. Comp. 92 (2023), 283-306 Request permission


This work characterizes the range of the single-quadrant approximate discrete Radon transform (ADRT) of square images. The characterization follows from a set of linear constraints on the codomain. We show that for data satisfying these constraints, the exact and fast inversion formula by Rim [Appl. Math. Lett. 102 (2020), 106159] yields a square image in a stable manner. The range characterization is obtained by first showing that the ADRT is a bijection between images supported on infinite half-strips, then identifying the linear subspaces that stay finitely supported under the inversion formula.
Similar Articles
Additional Information
  • Weilin Li
  • Affiliation: Courant Institute of Mathematical Sciences, New York University, New York, New York 10012
  • MR Author ID: 1052146
  • ORCID: 0000-0003-0345-4713
  • Email:
  • Kui Ren
  • Affiliation: Department of Applied Physics and Applied Mathematics, Columbia University, New York, New York 10027
  • MR Author ID: 711179
  • ORCID: 0000-0001-6463-4561
  • Email:
  • Donsub Rim
  • Affiliation: Department of Mathematics and Statistics, Washington University in St. Louis, St. Louis, Missouri 63105
  • MR Author ID: 990462
  • ORCID: 0000-0002-6721-2070
  • Email:
  • Received by editor(s): October 18, 2020
  • Received by editor(s) in revised form: March 7, 2022
  • Published electronically: August 31, 2022
  • Additional Notes: The first author was supported by AMS Simons Travel grant. The work of the second author was partially supported by the National Science Foundation through grants DMS-1913309 and DMS-1937254. The work of the third author was partially supported by the Air Force Center of Excellence on Multi-Fidelity Modeling of Rocket Combustor Dynamics under Award Number FA9550-17-1-0195 and AFOSR MURI on multi-information sources of multi-physics systems under Award Number FA9550-15-1-0038
  • © Copyright 2022 American Mathematical Society
  • Journal: Math. Comp. 92 (2023), 283-306
  • MSC (2020): Primary 44A12, 65R10, 92C55, 68U05, 15A04
  • DOI:
  • MathSciNet review: 4496966