An exact modeling of signal statistics in energy-integrating x-ray computed tomography

Yi Fan; Hongbing Lu; Hongbin Zhu; Xiangyang Tang; Zhengrong Liang

doi:10.1117/12.844390

22 March 2010 An exact modeling of signal statistics in energy-integrating x-ray computed tomography

Yi Fan, Hongbing Lu, Hongbin Zhu, Xiangyang Tang, Zhengrong Liang

Author Affiliations +

Proceedings Volume 7622, Medical Imaging 2010: Physics of Medical Imaging; 76222T (2010) https://doi.org/10.1117/12.844390
Event: SPIE Medical Imaging, 2010, San Diego, California, United States

Abstract

Energy-integrating detection of x-ray sources is widely used by modern computed tomography (CT) scanners and has been an interesting research topic for the purpose of more accurately processing the data toward low-dose applications. While the energy-integrating detection can be described by a compound Poisson distribution, this work provides an alternative means to explicitly consider the Poisson statistics of the quanta and the energy spectrum of the x-ray generation. An exact solution for the first two orders of the compound Poisson statistics is presented. Given the energy spectrum of an x-ray source, the mean and variance of the measurement at any count-density level can be computed strictly. This solution can provide a quantitative measure on the condition under which an assumption of employing the most commonly-used independent identical distribution (i.i.d.), such as Gamma, Gaussian, etc, would be valid. A comparison study was performed to estimate the introduced errors of variance by using these substitute statistical functions to approximate the actual photon spectrum. The presented approach would further be incorporated in an adaptive noise treatment method for low-dose CT applications.

Citation Download Citation

Yi Fan, Hongbing Lu, Hongbin Zhu, Xiangyang Tang, and Zhengrong Liang "An exact modeling of signal statistics in energy-integrating x-ray computed tomography", Proc. SPIE 7622, Medical Imaging 2010: Physics of Medical Imaging, 76222T (22 March 2010); https://doi.org/10.1117/12.844390

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

;

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE