Derives a complete system of John equation constraints for the 3D X-ray transform under cylindrical source and spherical direction coordinates, with simplifications under alignment conditions.
The ultrahyperbolic differential equation with four independent variables
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John Equation Constraints for the 3D X-ray Transform under a Cylindrical-Spherical Mixed Parameterization: Theoretical Derivation, Experimental Validation, and Application Analysis
Derives a complete system of John equation constraints for the 3D X-ray transform under cylindrical source and spherical direction coordinates, with simplifications under alignment conditions.