TY  - JOUR
AU  - Rodriguez-Alvarez, M. J.
AU  - Sanchez, F.
AU  - Soriano, A.
AU  - Iborra, A.
AU  - Mora, C.
PY  - 2011
DA  - 2011//
TI  - Exploiting symmetries for weight matrix design in CT imaging
T2  - Math. Comput. Model.
JO  - Mathematical and Computer Modelling
SP  - 1655
EP  - 1664
VL  - 54
IS  - 7-8
PB  - Pergamon-Elsevier Science Ltd
KW  - Computerized tomography imaging
KW  - Polar grid
KW  - System matrix
KW  - Rotation symmetries
KW  - ART
AB  - In this paper we propose several methods of constructing the system matrix (SM) of a Computed Tomography (CT) scanner with two objectives: (1) to construct SMs in the shortest possible time and store them in an ordinary PC without losing quality, (2) to analyze the possible applications of the proposed method to 3D, taking into account SMs' sizes, computing time and reconstructed image quality. In order to build the SM, we propose two new field of view (FOV) pixellation schemes, based on a polar coordinate system (polar grid) by taking advantage of the polar rotation symmetries of CT devices. Comparisons between the SMs proposed are performed using two phantom and a real CT-simulator images. Global error, contrast, noise and homogeneity of the reconstructed images are discussed.
SN  - 0895-7177
UR  - https://doi.org/10.1016/j.mcm.2010.12.004
DO  - 10.1016/j.mcm.2010.12.004
LA  - English
N1  - WOS:000293269200007
ID  - Rodriguez-Alvarez_etal2011
ER  -