MCM 1998 Problem A2011 - 1 A Scanner Problem MCM 1998...

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Unformatted text preview: 2/8/2011 1 A Scanner Problem MCM 1998 PROBLEM A A Scanner Problem MRI MACHINE 2/8/2011 2 MRI IMAGES INTRODUCTION ´ Industrial and medical diagnostic machines known as Magnetic Resonance Imagers (MRI) known as Magnetic Resonance Imagers (MRI) scan a three-dimensional object, such as a brain, and deliver their results in the form of a three-dimensional array of pixels. ´ Each pixel consists of one number, indicating a color or a shade of gray that indicating a color or a shade of gray that encodes a measure of water concentration in a small region of the scanned object. 2/8/2011 3 PIXEL INTENSITY LEVELS ´ For instance, 0 can picture high water concentration in black water concentration in black (ventricles, blood vessels) ´ 128 can picture a medium water concentration in gray (brain nuclei and gray matter) 255 can pict re a lo ater densit ´ 255 can picture a low water density in white SLICES AVAILABLE ´ Such MRI scanners also include facilities to picture on a screen any horizontal or vertical slice through on a screen any horizontal or vertical slice through the three-dimensional array (slices are parallel to any of the three Cartesian coordinate axes). ´ Animation travels from head to toe in 135 transverse sections (X-Y). 2/8/2011 4 OBLIQUE PLANES ´ Algorithms for picturing slices through oblique planes, however, are proprietary....
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This note was uploaded on 01/16/2012 for the course MAD 4103 taught by Professor Li during the Spring '11 term at University of Central Florida.

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MCM 1998 Problem A2011 - 1 A Scanner Problem MCM 1998...

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