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.
%0 Journal Article
%1 hahn2012reconstruction
%A Hahn, B. N.
%A Louis, A. K.
%D 2012
%J Inverse Problems
%K from:tobiasholicki
%N 4
%P 045013
%R 10.1088/0266-5611/28/4/045013
%T Reconstruction in the three-dimensional parallel
scanning geometry with application in synchrotronbased x-ray tomography
%U https://doi.org/10.1088/0266-5611/28/4/045013
%V 28
%X 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.
@article{hahn2012reconstruction,
abstract = {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.},
added-at = {2020-04-22T17:33:33.000+0200},
author = {Hahn, B. N. and Louis, A. K.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/22112d26dbb8c7e4decf2c30743f20454/oip},
doi = {10.1088/0266-5611/28/4/045013},
interhash = {b1fd74df2c21d8a257232038067fc10e},
intrahash = {2112d26dbb8c7e4decf2c30743f20454},
journal = {Inverse Problems},
keywords = {from:tobiasholicki},
number = 4,
pages = 045013,
timestamp = {2020-04-22T15:58:26.000+0200},
title = {Reconstruction in the three-dimensional parallel
scanning geometry with application in synchrotronbased x-ray tomography},
url = {https://doi.org/10.1088/0266-5611/28/4/045013},
volume = 28,
year = 2012
}
