id: 06031417
dt: j
an: 06031417
au: Hahn, B.; Louis, A.K.
ti: Reconstruction in the three-dimensional parallel scanning geometry with
    application in synchrotron-based x-ray tomography.
so: Inverse Probl. 28, No. 4, Article ID 045013, 18 p. (2012).
py: 2012
pu: IOP Publishing Ltd., Bristol
la: EN
cc: 
ut: 
ci: 
li: doi:10.1088/0266-5611/28/4/045013
ab: Summary: Common reconstruction approaches in the three-dimensional parallel
    scanning geometry, that occurs for example in synchrotron-based x-ray
    tomography, use layerwise 2D procedures. A finite number of layers of
    the investigated object are reconstructed by a 2D method, before a 3D
    visualization is obtained by interpolation between these layers. In
    this paper, a fully three-dimensional reconstruction algorithm for the
    parallel scanning geometry is presented. It allows us to calculate
    arbitrary slices or even the complete 3D density function directly
    without causing any interpolation errors. Furthermore, the 3D method
    enables the fast and stable combination of reconstruction and image
    analysis step to extract features of the investigated object, for
    example, derivatives used in canny edge detectors. The application to
    real data illustrates the stability and advantageous regularization
    properties of the new approach.
rv: