Filtered back projection
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Filtered Back Projectionback projection is an algorithm of 250,000 mathematical equations that can be solved through high capacity computer. The attenuated profile or projection produced represented by the anatomy is stored in the memory of the computer, solved and reconstructed. Each pixel (picture element) corresponds to the voxel (volume element) of the image.
The equation is sovery complicated, but to represent it in an easy way, imagine a box with holes in each side, and there's a 4 are four letters inside which correspondsthat correspond to A, B on upper part and C, D on lower part, respectively.
Then inside the box has a coin that is located on A.
The The coin will correspond to "1" and "0" if not.
Looking in each holes simultaneously follows:
- A+B = 1
- B+D = 0
- C+D = 0
- A+C = 1
The solution to this will tell us that A = 1, and B, C, D will be 0.
This is the mathematical equation solved by computer simultaneously, the example earlier was just a 4four pixel, imagine them on 250,000.
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-<p><strong>Filtered Back Projection </strong>is an algorithm of 250,000 mathematical equations that can be solved through high capacity computer. The attenuated profile or projection produced represented by the anatomy is stored in the memory of the computer, solved and reconstructed. Each pixel (picture element) corresponds to the voxel (volume element) of the image. The equation is so complicated, but to represent it in an easy way, imagine a box with holes in each side, and there's a 4 letters inside which corresponds to A, B on upper part and C, D on lower part, respectively.</p><p>Then inside the box has a coin that is located on A.</p><p>The coin will correspond to "1" and "0" if not.</p><p>Looking in each holes simultaneously follows:</p><p>A+B = 1</p><p>B+D = 0</p><p>C+D = 0</p><p>A+C = 1</p><p>The solution to this will tell us that A = 1, and B, C, D will be 0.</p><p>This is the mathematical equation solved by computer simultaneously, the example earlier was just a 4 pixel, imagine them on 250,000.</p><p> </p><p>.</p><p> </p><p> </p>- +<p><strong>Filtered back projection </strong>is an algorithm of 250,000 mathematical equations that can be solved through high capacity computer. The attenuated profile or projection produced represented by the anatomy is stored in the memory of the computer, solved and reconstructed. Each pixel (picture element) corresponds to the voxel (volume element) of the image.</p><p>The equation is very complicated, but to represent it in an easy way, imagine a box with holes in each side, and there are four letters inside that correspond to A, B on upper part and C, D on lower part, respectively.</p><p>Then inside the box has a coin that is located on A. The coin will correspond to "1" and "0" if not.</p><p>Looking in each holes simultaneously follows:</p><ul>
- +<li>A+B = 1</li>
- +<li>B+D = 0</li>
- +<li>C+D = 0</li>
- +<li>A+C = 1</li>
- +</ul><p>The solution to this will tell us that A = 1, and B, C, D will be 0.</p><p>This is the mathematical equation solved by computer simultaneously, the example earlier was just a four pixel, imagine them on 250,000.</p><p> </p>
References changed:
- 1. Bushong S. Radiologic science for technologists. Mosby. ISBN:0323025552. <a href="http://books.google.com/books?vid=ISBN0323025552">Read it at Google Books</a> - <a href="http://www.amazon.com/gp/product/0323025552">Find it at Amazon</a><span class="auto"></span>
- Radiation Physics, Biology, and Protection by Carlton S. Bushong 8th edition
Tags changed:
- rewrite
Sections changed:
- Imaging Technology
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