Density Reconstruction Using Arbitrary Ray Sampling Schemes
Methods for calculating the distribution of absorption densities in a cross section through an object from density integrals along rays in the plane of the cross section are well known, but are restricted to particular geometries of data collection. So-called convolutional-backprojection-summa...
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| Language: | en_US |
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2004
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| Online Access: | http://hdl.handle.net/1721.1/5757 |
| _version_ | 1826205225447325696 |
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| author | Horn, Berthold K.P. |
| author_facet | Horn, Berthold K.P. |
| author_sort | Horn, Berthold K.P. |
| collection | MIT |
| description | Methods for calculating the distribution of absorption densities in a cross section through an object from density integrals along rays in the plane of the cross section are well known, but are restricted to particular geometries of data collection. So-called convolutional-backprojection-summation methods, used now for parallel ray data, have recently been extended to special cases of the fan-beam reconstruction problem by the addition of pre- and post-multiplication steps. In this paper, I present a technique for deriving reconstructing algorithms for arbitrary ray-sampling schemes: the resulting algorithms entail the use of a general linear operator, but require little more computation than the convolutional methods, which represent special cases. |
| first_indexed | 2024-09-23T13:09:20Z |
| id | mit-1721.1/5757 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:09:20Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/57572019-04-11T04:45:43Z Density Reconstruction Using Arbitrary Ray Sampling Schemes Horn, Berthold K.P. Methods for calculating the distribution of absorption densities in a cross section through an object from density integrals along rays in the plane of the cross section are well known, but are restricted to particular geometries of data collection. So-called convolutional-backprojection-summation methods, used now for parallel ray data, have recently been extended to special cases of the fan-beam reconstruction problem by the addition of pre- and post-multiplication steps. In this paper, I present a technique for deriving reconstructing algorithms for arbitrary ray-sampling schemes: the resulting algorithms entail the use of a general linear operator, but require little more computation than the convolutional methods, which represent special cases. 2004-10-01T20:34:17Z 2004-10-01T20:34:17Z 1977-09-01 AIM-440 http://hdl.handle.net/1721.1/5757 en_US AIM-440 57 p. 27367063 bytes 20037849 bytes application/postscript application/pdf application/postscript application/pdf |
| spellingShingle | Horn, Berthold K.P. Density Reconstruction Using Arbitrary Ray Sampling Schemes |
| title | Density Reconstruction Using Arbitrary Ray Sampling Schemes |
| title_full | Density Reconstruction Using Arbitrary Ray Sampling Schemes |
| title_fullStr | Density Reconstruction Using Arbitrary Ray Sampling Schemes |
| title_full_unstemmed | Density Reconstruction Using Arbitrary Ray Sampling Schemes |
| title_short | Density Reconstruction Using Arbitrary Ray Sampling Schemes |
| title_sort | density reconstruction using arbitrary ray sampling schemes |
| url | http://hdl.handle.net/1721.1/5757 |
| work_keys_str_mv | AT hornbertholdkp densityreconstructionusingarbitraryraysamplingschemes |