Measured PET Data Characterization with the Negative Binomial Distribution Model
نویسندگان
چکیده
منابع مشابه
Measured PET Data Characterization with the Negative Binomial Distribution Model
Accurate statistical model of PET measurements is a prerequisite for a correct image reconstruction when using statistical image reconstruction algorithms, or when pre-filtering operations must be performed. Although radioactive decay follows a Poisson distribution, deviation from Poisson statistics occurs on projection data prior to reconstruction due to physical effects, measurement errors, c...
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abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
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ژورنال
عنوان ژورنال: Journal of Medical and Biological Engineering
سال: 2017
ISSN: 1609-0985,2199-4757
DOI: 10.1007/s40846-017-0236-2