Projection-slice theorem: Difference between revisions

Revision as of 01:49, 4 January 2019

Revision as of 08:11, 17 February 2019

Line 74:

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

The projection-slice theorem is suitable for CT image reconstruction with parallel beam projections. It does 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 journalbook |author = Zhao S.R. and H.Halling |title = A New Fourier Transform Method for fan Beam Tomography |journal = publishedPublished in 1995 Nuclear Science Symposium and Medical imagingImaging Conference Record |volume = 2 |year = 1995 |pages = 1287–91 |doi = 10.1109/NSSMIC.1995.510494 |isbn = 978-0-7803-3180-8 }}</ref>

== See also ==

Line 85:

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

* {{cite journal |last = Bracewell |first = Ronald N. |title = Strip Integration in Radio Astronomy |journal = Aust. J. Phys. |year = 1956 |volume = 9 |pages = 198 |doi = 10.1071/PH560198 |pmid = |issue = 2 }}

* {{cite book |author = Gaskill, Jack D. |title = Linear Systems, Fourier Transforms, and Optics |publisher = John Wiley & Sons, New York |year = 2005 |isbn = 978-0-471-29288-53 }}

* {{cite journal |last = Ng |first = Ren |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 |last1 = Zhao |first1 = Shuang-Ren |last2 = Halling |first2 = Horst |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 radiologyRadiology and Nuclear medicineMedicine |year = 1995 |pages = 323–7 }}

* {{cite journal |last1 = Garces |first1 = Daissy H. |last2 = Rhodes |first2 = William T. |last3 = Peña |first3 = Néstor |title = The Projection-Slice Theorem: A Compact Notation |journal = Optical Society of America |year = 2011 |volume = 28 |issue = 5 |pages = 766–769 |doi = 10.1364/JOSAA.28.000766 |pmid = 21532686 }}

== External links ==