On the Radon transform and linear transformations of images

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

14 Scopus citations

Abstract

We present a novel original method for estimating and recovering a general geometric transformation which is applied to an image. Our main tool is the Radon Transform; we develop analysis to address the behavior of this transform under a Linear Transformation in terms of the singular value decomposition of the Transformation's matrix. We derive a mathematical exact solution to this problem. We then implement our analysis and validate the work on synthetic images as well as real images. In so doing, we developed efficient numerical tools for carrying out such analysis.

Original languageBritish English
Title of host publicationDMIP 2019 - Proceedings of 2019 2nd International Conference on Digital Medicine and Image Processing
Pages26-31
Number of pages6
ISBN (Electronic)9781450376983
DOIs
StatePublished - 13 Nov 2019
Event2nd International Conference on Digital Medicine and Image Processing, DMIP 2019 - Shanghai, China
Duration: 13 Nov 201915 Nov 2019

Publication series

NameACM International Conference Proceeding Series

Conference

Conference2nd International Conference on Digital Medicine and Image Processing, DMIP 2019
Country/TerritoryChina
CityShanghai
Period13/11/1915/11/19

Keywords

  • Geometric transformation
  • Image registration
  • Radon transform
  • Tomography

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