X-ray tomography (CT Scan) is a widely used method to inspect an object without damaging its structure (Non Destructive Testing). It allows the conformity of the object to be checked with respect to the intended dimensions, material composition, homogeneity, etc. At the French Atomic Energy Commission (CEA), we are developing such a technique for different objectives and objects: verification of the conformity of nuclear waste drums (safety objectives), nuclear fuel (performance objectives) and metal additive manufacturing (cost objectives). Nuclear waste drums are very large objects (more than one cubic metre and two tonnes), nuclear fuel is very dense and metallic additive manufacturing is an intermediate case. For these three objects, the scanners are specific and rely on linear accelerators (high energy and dose rate) and thick scintillators. These components bring an intrinsic blur (Point Spread Function) which degrades the scanner results. In order to correct this degradation and to improve the control capabilities, different PSF deconvolution methods are currently under study and will be presented. They can be applied on radiographs (projections with known Poissonian noise but low gradient) before the tomographic reconstruction process or directly on CT images (non-Poissonian noise and artefacts but with a high gradient). The two corrections can lead to different performances. Finally, if they effectively reduce the blur in the final CT images, they must also deal with the noise corruption that is always present.