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Reduction of noise due to systematic uncertainties in In SPECT imaging using information theory |
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| Authors: | P.T. Krishna Kumar [Author Vitae] Vir V. Phoha [Author Vitae] Puneeth Iyengar [Author Vitae] |
| Affiliation: | a Room No. 114, Central Design Office, Indira Gandhi Centre for Atomic Research, Kalpakkam 603 102, India b College of Engineering and Science, Louisiana Tech University, Nethken Hall, Arizona Ave., Ruston, LA 71272, USA c Department of Computer Science, Louisiana State University, Baton Rouge, LA 70803, USA d Division of Radiation Oncology, MD Anderson Cancer Center, Houston, TX 77030, USA |
| Abstract: | SPECT images using radiopharmaceuticals are limited by noise caused by both random and systematic uncertainties. All the efforts so far have been directed only to minimize the random uncertainty and no attempt has ever been made to minimize the noise due to systematic uncertainty. As these radiopharmaceuticals encounter many systematic uncertainties during their formation, we constructed the covariance matrix with some of these systematic uncertainties for the gamma count rate of 113mIn. We describe the algorithm we have developed based on the technique of determinant inequalities and the concept of minimization of mutual information to process the covariance matrix element by element to minimize the noise caused by systematic uncertainty in the SPECT imaging of 113mIn and its utility to experimentalists to design and improve their process of measurement and instrumentation. |
| Keywords: | Noise in SPECT images Systematic uncertainties in SPECT imaging Covariance matrix Bounds for covariance elements by determinant inequalities Minimization of mutual information Reduction of noise by minimization mutual information |
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