Fan-beam-tomography noise theory
- 1 May 1986
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 3 (5) , 624-633
- https://doi.org/10.1364/josaa.3.000624
Abstract
We present a theoretical analysis of noise and tomographic images reconstructed with the convolution backprojection method. This analysis is valid for both the fan-beam geometry with detectors evenly spaced on a curved arc and the parallel-beam geometry. Effects of position within the fan source circle, spatial averaging, and correlations with the projection noise are included. Convolving the data with a triangle filter of width d is shown to reduce the noise variance as d-3.Keywords
This publication has 15 references indexed in Scilit:
- Optical tomography: experimental verification of noise theoryOptics Letters, 1984
- Optical tomography for flow field diagnosticsInternational Journal of Heat and Mass Transfer, 1981
- Computed Medical ImagingJournal of Computer Assisted Tomography, 1980
- Early Two-Dimensional Reconstruction (CT Scanning) and Recent Topics Stemming from ItJournal of Computer Assisted Tomography, 1980
- Nonlinear Polychromatic and Noise Artifacts in X-Ray Computed Tomography ImagesJournal of Computer Assisted Tomography, 1979
- Two-dimensional remote air-pollution monitoring via tomographyOptics Letters, 1979
- The noise power spectrum in computed X-ray tomographyPhysics in Medicine & Biology, 1978
- A new proposal for estimating the spatial concentration of certain types of air pollutantsJournal of the Optical Society of America, 1977
- Noise Due to Photon Counting Statistics in Computed X-Ray TomographyJournal of Computer Assisted Tomography, 1977
- Statistical limitations in transaxial tomographyComputers in Biology and Medicine, 1976