The Radon Transform and its application to XRD image calibration

Calibration of an area detector is a crucial step of X-ray diffraction (XRD) data pre-processing. Radon transform map the bidimensional XRD image onto a bidimensional density corresponding to the integration along straight lines (on the area detector) with given rotation angle and distance with respect to a symmetry-center. Due to its peculiar integral nature Radon transform is less sensitive to missing areas in the original XRD image, while it is very sensitive to the symmetry-center chosen to start performing the integration. Computing the tilt and rotation of the detector frame results in a fine tuning of the procedure described above.