Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Radon_transform> ?p ?o. }
Showing items 1 to 50 of
50
with 100 items per page.
- Radon_transform abstract "In mathematics, the Radon transform in two dimensions, named after the Austrian mathematician Johann Radon, is the integral transform consisting of the integral of a function over straight lines. The transform was introduced in 1917 by Radon, who also provided a formula for the inverse transform. Radon further included formulas for the transform in three-dimensions, in which the integral is taken over planes. It was later generalised to higher-dimensional Euclidean spaces, and more broadly in the context of integral geometry. The complex analog of the Radon transform is known as the Penrose transform.The Radon transform is widely applicable to tomography, the creation of an image from the scattering data associated with cross-sectional scans of an object. If a function ƒ represents an unknown density, then the Radon transform represents the scattering data obtained as the output of a tomographic scan. Hence the inverse of the Radon transform can be used to reconstruct the original density from the scattering data, and thus it forms the mathematical underpinning for tomographic reconstruction, also known as image reconstruction. The Radon transform data is often called a sinogram because the Radon transform of a Dirac delta function is a distribution supported on the graph of a sine wave. Consequently the Radon transform of a number of small objects appears graphically as a number of blurred sine waves with different amplitudes and phases. The Radon transform is useful in computed axial tomography (CAT scan), barcode scanners, electron microscopy of macromolecular assemblies like viruses and protein complexes, reflection seismology and in the solution of hyperbolic partial differential equations.".
- Radon_transform thumbnail Radon_transform.png?width=300.
- Radon_transform wikiPageID "503378".
- Radon_transform wikiPageRevisionID "601491174".
- Radon_transform align "right".
- Radon_transform caption Shepp%E2%80%93Logan_phantom.
- Radon_transform caption "Inverse Radon transform".
- Radon_transform caption "Radon transform".
- Radon_transform direction "horizontal".
- Radon_transform first "J.B.T.M.".
- Radon_transform first "R.A.".
- Radon_transform hasPhotoCollection Radon_transform.
- Radon_transform id "r/r077190".
- Radon_transform id "t/t092980".
- Radon_transform image "Shepp logan iradon.png".
- Radon_transform image "Shepp logan radon.png".
- Radon_transform image "Shepp logan.png".
- Radon_transform last "Minlos".
- Radon_transform last "Roerdink".
- Radon_transform pagename "Radon Transform".
- Radon_transform title "Radon transform".
- Radon_transform title "Tomography".
- Radon_transform urlname "RadonTransform".
- Radon_transform width "170".
- Radon_transform width "42".
- Radon_transform subject Category:Integral_geometry.
- Radon_transform subject Category:Integral_transforms.
- Radon_transform comment "In mathematics, the Radon transform in two dimensions, named after the Austrian mathematician Johann Radon, is the integral transform consisting of the integral of a function over straight lines. The transform was introduced in 1917 by Radon, who also provided a formula for the inverse transform. Radon further included formulas for the transform in three-dimensions, in which the integral is taken over planes.".
- Radon_transform label "Radon transform".
- Radon_transform label "Radon-Transformation".
- Radon_transform label "Théorème de Radon".
- Radon_transform label "Transformada de Radon".
- Radon_transform label "Transformada de Radon".
- Radon_transform label "Transformata Radona".
- Radon_transform label "Trasformata di Radon".
- Radon_transform label "Преобразование Радона".
- Radon_transform label "تحويل رادون".
- Radon_transform sameAs Radonova_transformace.
- Radon_transform sameAs Radon-Transformation.
- Radon_transform sameAs Transformada_de_Radon.
- Radon_transform sameAs Théorème_de_Radon.
- Radon_transform sameAs Trasformata_di_Radon.
- Radon_transform sameAs Transformata_Radona.
- Radon_transform sameAs Transformada_de_Radon.
- Radon_transform sameAs m.02j50n.
- Radon_transform sameAs Q979829.
- Radon_transform sameAs Q979829.
- Radon_transform wasDerivedFrom Radon_transform?oldid=601491174.
- Radon_transform depiction Radon_transform.png.
- Radon_transform isPrimaryTopicOf Radon_transform.
