Multiresolution 3D-computerized tomography and its application to NDT
This paper presents a new derivation of a nonseparable multiresolution inversion formula in 3D Feldkamp-type cone-beam tomography. The approximative inverse is used to derive an inversion formula for reconstructing the wavelet approximation and wavelet detail coefficients of the volume slice by slice. Beyond the reconstruction algorithm, applications of multiresolution reconstruction in the field of non-destructive testing are shown: The algorithm supports progressive reconstruction and local tomography for recovering only a region of interest inside the investigated volume. The features of the reconstruction algorithm are shown by means of simulated data as well as measured data of an aluminium casting from automobile industry.