Estimate object properties from a finite number of projections
Tomographic reconstruction: Projection, Back projection and Filtered back projection
Tomographic reconstruction is a type of multidimensional inverse problem where the challenge is to yield an estimate of a specific system from a finite number of projections. The mathematical basis for tomographic imaging was laid down by Johann Radon. A notable example of applications is the reconstruction of computed tomography (CT) where cross-sectional images of patients are obtained in non-invasive manner. Recent developments have seen the Radon transform and its inverse used for tasks related to realistic object insertion required for testing and evaluating computed tomography use in airport security.[1]
This article applies in general to reconstruction methods for all kinds of tomography, but some of the terms and physical descriptions refer directly to the reconstruction of X-ray computed tomography.
^Megherbi, N., Breckon, T.P., Flitton, G.T., Mouton, A. (October 2013). "Radon Transform based Metal Artefacts Generation in 3D Threat Image Projection" (PDF). Proc. SPIE Optics and Photonics for Counterterrorism, Crime Fighting and Defence. Vol. 8901. SPIE. pp. 1–7. doi:10.1117/12.2028506. S2CID 14001672. Retrieved 5 November 2013.{{cite book}}: CS1 maint: multiple names: authors list (link)
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