# HW5_solutions - ECE 380 Biomedical Imaging Spring 2010...

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1 ECE 380 Biomedical Imaging Spring 2010 Homework 5 Solutions _____________________________________________________ 1. For the case of X-rays passing through tissue with a constant linear attenuation co-efficient (μ tissue > μ water ), does the CT number increase or decrease as a function of distance through the tissue due to beam hardening? (20 points) The CT number will decrease. This is because beam hardening will cause the effective linear attenuation coefficient to decrease with distance CT# = -k ( μ tissue water )/ μ water .The decrease of μ tissue will cause the decrease of CT #. 2. CT Image reconstruction For this problem please turn in Your Matlab code Sinogram for Problem 3(a) Reconstructed images using the unfiltered , Shepp-Logan and the Ram-Lak filters Matlab Code close all ;clear all ;clc I=phantom(256); theta = 0:180; [R,xp] = radon(I,theta); figure; subplot(121);imagesc(I);colormap(gray) subplot(122); imagesc(R);xlabel( 'theta' ) I1=iradon(R,theta, 'none'

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• Spring '10
• Prof.A
• Harshad number, heart rate, Medical imaging, Attenuation, Attenuation coefficient, Tomographic reconstruction

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HW5_solutions - ECE 380 Biomedical Imaging Spring 2010...

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