Using the First Moments for Orienting 2D Projections

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1 Scopus citations

Abstract

We explore the problem of two-dimensional parallel beam tomography, where both the object under analysis and the projection directions are not specified. The scenario and assumptions require that the unknown nonnegative 2-D function, denoted as f, has rectangular compact support in the first quadrant of the xy-plane. Radon projections are assumed to be accessible for all angles within the range [0, π]. Despite its primarily theoretical nature, this problem is amenable to numerical implementation, producing precise results, as illustrated in our experiments with synthetic and real images. The approach is characterized by simplicity in terms of its mathematical tools, yet it remains accurate and efficient.

Original languageBritish English
Title of host publicationSixth International Conference on Image, Video Processing, and Artificial Intelligence, IVPAI 2024
EditorsRuidan Su
PublisherSPIE
ISBN (Electronic)9781510681781
DOIs
StatePublished - 2024
Event6th International Conference on Image, Video Processing, and Artificial Intelligence, IVPAI 2024 - Kuala Lumpur, Malaysia
Duration: 21 Jul 202423 Jul 2024

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume13225
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

Conference6th International Conference on Image, Video Processing, and Artificial Intelligence, IVPAI 2024
Country/TerritoryMalaysia
CityKuala Lumpur
Period21/07/2423/07/24

Keywords

  • Image Moments
  • Radon Transform
  • Tomography

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