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Positron Emission Tomography (PET) Whereas most radioactive isotopes decay by release of a gamma ray and electrons, some decay by the release of a positron. A positron is similar to an electron but has a positive charge. PET imaging begins with the injection of a biological molecule that carries with it a positron-emitting isotope (for example, 11C, 13N, 15O, or 18F). Within minutes, the isotope accumulates in an area of the body for which the molecule has an affinity. 8 h), DIAGNOSTIC IMAGING Gamma Camera 253 Photomultiplier tubes Scintillation crystal NaI (T1) Lead sheet with holes Detected gamma rays Spect Pet accumulates in the brain, where glucose is used as the primary source of energy.
17. B. D. Smith, Image reconstruction from cone-beam projections: Necessary and sufficient conditions and reconstruction methods, IEEE Trans. Med. Imaging, MI-4: 14–28, 1985. 18. P. Grangeat, Mathematical framework of cone beam 3d reconstruction via the first derivative of the Radon transform. In G. T. Herman, A. K. Louis, and F. ), Mathematical Methods in Tomography. New York: Springer-Verlag, 1990. 19. B. D. Smith and J. X. Chen, Implementation, investigation, and improvement of a novel cone-beam reconstruction method, IEEE Trans.
Olson and DeStefano (52) observed that space-frequency localized wavelet bases can be used in sampling the Radon transform and performing local region reconstruction. Zhao et al. (53) established an upper error bound in L2-norm between the Radon transform and its wavelet approximation, and obtained an estimate of the accuracy of a local image reconstructed from localized Radon data at multiple levels. The current results can be extended to fan-beam and cone-beam geometry. Iterative reconstruction methods will play a substantial role for better image quality and less radiation dose.