Effect of errors in the system matrix on maximuma posterioriimage reconstruction
| Autor: | Jinyi Qi, Ronald H. Huesman |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Radiological and Ultrasound Technology
medicine.diagnostic_test Iterative method business.industry Image quality ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Image processing Iterative reconstruction Single-photon emission computed tomography symbols.namesake Maximum a posteriori estimation medicine Taylor series symbols Radiology Nuclear Medicine and imaging Computer vision Artificial intelligence Tomography business Algorithm Mathematics |
| Zdroj: | Physics in Medicine and Biology. 50:3297-3312 |
| ISSN: | 1361-6560 0031-9155 |
| DOI: | 10.1088/0031-9155/50/14/007 |
| Popis: | Statistically based iterative image reconstruction methods have been developed for emission tomography. One important component in iterative image reconstruction is the system matrix, which defines the mapping from the image space to the data space. Several groups have demonstrated that an accurate system matrix can improve image quality in both single photon emission computed tomography (SPECT) and positron emission tomography (PET). While iterative methods are amenable to arbitrary and complicated system models, the true system response is never known exactly. In practice, one also has to sacrifice the accuracy of the system model because of limited computing and imaging resources. This paper analyses the effect of errors in the system matrix on iterative image reconstruction methods that are based on the maximum a posteriori principle. We derived an analytical expression for calculating artefacts in a reconstructed image that are caused by errors in the system matrix using the first-order Taylor series approximation. The theoretical expression is used to determine the required minimum accuracy of the system matrix in emission tomography. Computer simulations show that the theoretical results work reasonably well in low-noise situations. |
| Databáze: | OpenAIRE |
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