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Was (wer) ist signal reconstruction algorithm - definition
![Phantom]] object, two kitty-corner squares.](https://commons.wikimedia.org/wiki/Special:FilePath/Sinogram Source - Two Squares Phantom.svg?width=200 "Phantom]] object, two kitty-corner squares.")
![ART]] based tomographic reconstruction of the sinogram of Fig.3, presented as animation over the iterative reconstruction process. The original object could be approximatively reconstructed, as the resulting image has some [[visual artifact]]s.](https://commons.wikimedia.org/wiki/Special:FilePath/Algebraic Reconstruction Technique - animated.gif?width=200 "ART]] based tomographic reconstruction of the sinogram of Fig.3, presented as animation over the iterative reconstruction process. The original object could be approximatively reconstructed, as the resulting image has some [[visual artifact]]s.")
![sampling]]](https://commons.wikimedia.org/wiki/Special:FilePath/Sampled.signal.svg?width=200 "sampling]]")
Wikipedia
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.
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.
