학술논문

Assessment of the performance of reconstruction processes for computed tomography
Document Type
Conference
Source
1998 IEEE Nuclear Science Symposium Conference Record. 1998 IEEE Nuclear Science Symposium and Medical Imaging Conference (Cat. No.98CH36255) Nuclear science and medical imaging Nuclear Science Symposium, 1998. Conference Record. 1998 IEEE. 2:1353-1357 vol.2 1998
Subject
Nuclear Engineering
Power, Energy and Industry Applications
Fields, Waves and Electromagnetics
Engineered Materials, Dielectrics and Plasmas
Computed tomography
Image reconstruction
Integral equations
Transforms
Inverse problems
Mathematics
Image analysis
X-ray scattering
Attenuation
Convolution
Language
ISSN
1082-3654
Abstract
This paper deals with the assessment of the performance of reconstruction methods for computed tomography, including filtered backprojection and 'entropy-like' methods. For each of these methods, the influence of errors in the measured data on the reconstructed image is analyzed. A small perturbation of the data vector induces a perturbation of the reconstructed object which can be computed by means of the sensitivity matrix. Using appropriate matrix computation techniques, an upper bound on the size of the reconstruction error is determined, as well as the pattern of noise in the sinogram that will result in the largest reconstruction error. Simulations will illustrate our analysis and demonstrate its utility in the interpretation of computed images and in the selection of reconstruction parameters.