HW3_Soln - BME 210 BME 210 2007 Spring Semester Homework 3...

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BME 210 2007 Spring Semester Homework 3 Medical Imaging (50 Points) Outline 1. Introduction a. CT as an Medical Imaging Modality b. The image reconstruction problem 2. Crout’s Method, LU Decomposition and forward / backward substitution a. Solution of a sample reconstruction problem via Crout’s method by hand. 3. MATLAB Reconstruction Problem a. Given the raysums “s” of different angles from a phantom and “W” the transform relating the raysums to the original image, reconstruct the original phantom. b. Comparison of the original phantom and the reconstructed image. Part 1: Introduction X-ray computed tomography or CT is a form of medical imaging that allows a radiologist to see axial slices of human anatomy. CTs are based on the principles of raysums. A rotating gantry projects x-rays through the subject from a number of angles. The amounts of x-rays that are able to penetrate the body through each angle constitute the basis of the final image. Therefore, bone is bright being most absorbent and air being dark. The process of x-rays being absorbed by the body
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