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m →Example: Tomography reconstruction: Comment out the flowchart of the Fly algorithm. |
m →Example: Tomography reconstruction: Add f and Y (uploaded the pictures 1st). |
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{{multiple image
| width = 200
| right
| image1=phantom-hot_spheres.png
| caption1=Example of image to reconstruct (<math>f</math>), which is unknown.
| image2=sinogram-hot_spheres.png
| caption2=Corresponding sinogram (<math>Y</math>), which is known.
}}
Tomography reconstruction is an [[inverse problem]] that is often [[ill-posed]] due to missing data and/or noise. The answer to the inverse problem is not unique, and in case of extreme noise level it may not even exist. The input data of a reconstruction algorithm may be given as the [[Radon transform]] or sinogram <math>\left(Y\right)</math> of the data to reconstruct <math>\left(f\right)</math>. <math>f</math> is unknown; <math>Y</math> is known.
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