Computed Tomography Reconstruction Using Only One Projection Angle

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Abstract

Let F represent a digitized version of an image f (x,y ). Assume that the image fits inside a rectangular region and this region is subdivided into M × N squares. We call these squares the shifted box functions. Thus f ({x,y ) is approximated by M × N matrix F. This paper proofs that F can be recovered exactly and uniquely from the Radon transform of f using only one selected view angle with a well selected family of MN lines. The paper also proposes a precise method for computing the Radon transform of an image. The approach can be categorized as an algebraic reconstruction, but it is merely a theoretical contribution for the field of limited data tomography.

Original languageBritish English
Pages (from-to)9672-9679
Number of pages8
JournalIEEE Access
Volume11
DOIs
StatePublished - 2023

Keywords

  • Algebraic reconstruction
  • limited data tomography
  • radon transform
  • tomography

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