INVERSION FORMULA FOR THE WEIGHTED CONICAL RADON TRANSFORM

초록

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.

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