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 language | English |
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Pages (from-to) | 67-74 |
Number of pages | 8 |
Journal | Eurasian Journal of Mathematical and Computer Applications |
Volume | 12 |
Issue number | 4 |
DOIs | |
State | Published - 2024 |
Keywords
- Compton camera
- conical Radon transform
- inversion
- weight effect