Projection-slice theorem: Difference between revisions

Revision as of 18:52, 12 May 2015

Revision as of 03:51, 13 May 2015

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== Extension to fan beam or cone-beam CT ==

Projection-slice theorem is suitable CT image reconstruction with parallel beam projections. It can not directly apply to fanbeam or conebeam CT. The theorem was extended to fan-beam and conebeam CT image reconstruction by Shuang-ren Zhao in 1995.<ref name="ZhaoFSliceThoerem">{{cite journal | author=Zhao S.R. and H.Halling | title = A New Fourier Transform Method for fan Beam Tomography | journal=published in 1995 Nuclear Science Symposium and Medical imaging Conference Record | year = 1995 || | pages=1287-91 |1287–91 }}</ref>

== Extension to ''n''-dimensional signal ==

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== References ==

{{Reflist}}

* {{cite journal | author=Bracewell, R.N. | title=Numerical Transforms | journal=Science | year=1990 | volume=248 | pages=697–704 | doi=10.1126/science.248.4956.697 | pmid=17812072 | issue=4956}}

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* {{cite journal | author=Ng, R. | title = Fourier Slice Photography | journal=ACM Transactions on Graphics | year = 2005 | volume=24 | issue=3 | pages=735–744 | doi=10.1145/1073204.1073256}}

* {{cite journal | author=Zhao S.R. and H.Halling | title = Reconstruction of Cone Beam Projections with Free Source Path by a Generalized Fourier Method | journal=Proceedings of the 1995 International Meeting on Fully Three-Dimensional Image Reconstruction in radiology and Nuclear medicine | year = 1995 || | pages=323-7 |323–7 }}

[[Category:Theorems in Fourier analysis]]