Fully 3D geometrical calibration for an X-ray grating-based imaging system.

The Precision of geometric parameters is the key requirement for grating-based phase-contrast CT and attenuation-based CT in cone-beam geometry. By extending our fan-beam geometric calibration work via Locally Linear Embedding (LLE) into the cone-beam case, here we calibrate the geometric parameters of our in-house phase-contrast CT system with attenuation projection data. Numerical and experimental studies show that the LLE-based calibration method is feasible to calibrate 8 parameters of the cone-beam geometry that improves reconstruction quality significantly.