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For example, consider a simple 2-row by 2-column reconstruction Matrix. Views are collected at 4 angles, 0 (left to right), 90 (top to bottom), 45 (diagonal), and 135 (diagonal), and each measurement is expressed as the sum of the voxel attenuation values along each ray. In this case, there are 10 equations:U1U2U3U4 U1U133U1U1333 U2U244U2U2444 U3U311U3U3111 U4U488U4U4888 No 45 90 135 o X 1 = U 1 + U 2 X 2 = U 3 + U 4 X 3 = U 1 + U 3 X 4 = U 2 + U 4 X 5 = U 2 X 6 = U 1 + U 4 X 7 = U 3 X 8 = U 1 X 9 = U 2 + U 3 X 10 = U 4

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U1U133U1U1333 U2U244U2U2444 U3U311U3U3111 U4U488U4U4888 11 4 412 1 8 5 3 7 9

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7799 11 1 418111020 4 + 7 = 11 11 + 7 = 18 11 + 9 = 20 1 + 9 = 10

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18111020 124 4 + 18 = 22 4 + 10 = 14 12 + 11 = 23 12 + 20 = 3222231432

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25281940 22231432 8 3 5 3 + 22 = 25 5 + 23 = 28 5 + 14 = 19 8 + 32 = 40

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7 + 9 = 16 Initial x-ray scan combined combined 25 - 16 = 9 28 - 16 = 12 we subtract the total initial x-ray 19 - 16 = 3 combined from the value of each box. 40 - 16 = 24 9 / 3 = 3 because we have the scan not once 12 / 3 = 4 but three times we returned others. 3 / 3 = 1 24 / 3 = 8 2528 1940 912324 34124

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The three images demonstrate a haemoperitoneum, shattered right kidney and a lacerated spleen in axial (A), sagittal (B) and coronal (C) planes. (A) (C)(B)

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