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7 September 2006 Analytic simulation scheme for x-ray projections based on physics model
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In the area of medical XCT reconstruction, simulation projections of mathematical phantoms are extensively adopted by most researchers, based on linear integral calculation. In order to measure realistic projections, energy spectrum of x-ray tube, geometry of phantom and material compositions of all sub-regions should be known. A concise and feasible analytic approach is presented in this paper, herein a modified 3D Shepp Logan phantom is employed as an instance. First, the geometry and linear attenuation coefficients of all ellipses included in a modified 3D Shepp Logan phantom are designed; the intersection points between all ellipses and any special x-ray are computed by solving an equation; the lengths between sequential intersection points and corresponding linear attenuation coefficients are decided by a dedicated algorithm; translating linear attenuation coefficients to CT-numbers; mapping these CT-numbers to the mass densities and mass weights of six standard human being tissues, which are then utilized to acquire an polychromatic cone beam projections. The whole scheme needs lesser storage and computation consumption to reach a higher computation accuracy and precision. To validate feasibility, the simulation projections are post-processed using a Feldkamp reconstruction algorithm, and beam hardening effects are shown clearly.
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Shaojie Tang, Hengyong Yu, and Xuanqin Mou "Analytic simulation scheme for x-ray projections based on physics model", Proc. SPIE 6318, Developments in X-Ray Tomography V, 63181T (7 September 2006);


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