A method for the reconstruction of a test part in an X-ray CT method in an X-ray CT system, which has an X-ray with a focus, an X-ray detector, and a manipulator which moves the test part within the X-ray CT system. To generate recordings of the test part in various positions, the manipulator travels a predefinable parameterizable path-curve and makes recordings at triggered positions. For each recording, the position of the manipulator is determined and the respective associated projective geometry is calculated. Thereafter, a further path curve is followed having different parameters from the preceding path curve. The path curve is determined iteratively by means of an optimization algorithm, at the value of which the quality function is minimal. For each test part, a CT reconstruction is carried out by means of a suitable algorithm with reference to the allocation of the individual recordings to the respective projective geometry.
