TY - JOUR
T1 - Zero-order moment of the Radon transform in tomography
T2 - Some further remarks
AU - Ornelas-Rodriguez, F. J.
AU - Rodriguez-Zurita, G.
AU - Rodriguez-Vera, R.
AU - Pastrana-Sanchez, R.
AU - De La Rosa-Miranda, E.
PY - 1999
Y1 - 1999
N2 - It is well known that the integral of a tomographic projection (zero-order moment) represents the total irradiance absorption of an object. Therefore, it must be rotational invariant. In this paper it is shown that the filtered projections must obey the same condition. Numerical examples are presented to illustrate the usefulness of the invariance property to judge the filtering process performance. Furthermore, the possibility to inspect the fulfilment of the invariance with experimental data is discussed, and the development of a rejection criterion for projection data in experimental tomography is suggested.
AB - It is well known that the integral of a tomographic projection (zero-order moment) represents the total irradiance absorption of an object. Therefore, it must be rotational invariant. In this paper it is shown that the filtered projections must obey the same condition. Numerical examples are presented to illustrate the usefulness of the invariance property to judge the filtering process performance. Furthermore, the possibility to inspect the fulfilment of the invariance with experimental data is discussed, and the development of a rejection criterion for projection data in experimental tomography is suggested.
KW - Fourier optics
KW - Optical image processing
KW - Optical tomography
UR - http://www.scopus.com/inward/record.url?scp=0033100119&partnerID=8YFLogxK
U2 - 10.1016/S0030-4018(98)00650-6
DO - 10.1016/S0030-4018(98)00650-6
M3 - Artículo
SN - 0030-4018
VL - 161
SP - 19
EP - 24
JO - Optics Communications
JF - Optics Communications
IS - 1-3
ER -