INVERSION FORMULA FOR THE WEIGHTED CONICAL RADON TRANSFORM

Chaeyoon Kim, Sunghwan Moon, Jiyoung Oh

Research output: Contribution to journalArticlepeer-review

Abstract

The conical Radon transform, particularly relevant for Compton camera applications, maps a given function to its surface integral over a set of cones. This study focuses on the weighted conical Radon transform, obtained by incorporating a weight effect into the conical Radon transform detailed in [20]. The n-dimensional weighted conical Radon transform is first defined, following which its inversion formula is derived by expressing its projection as a convolution.

Original languageEnglish
Pages (from-to)67-74
Number of pages8
JournalEurasian Journal of Mathematical and Computer Applications
Volume12
Issue number4
DOIs
StatePublished - 2024

Keywords

  • Compton camera
  • conical Radon transform
  • inversion
  • weight effect

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