### Abstract

A new tomographic reconstruction method is proposed which permits the reconstruction of a region of interest within a slice from partially truncated scanning data. This method utilizes two types of source data, namely a series of truncated projections and the outline of the object's cross section. The principle of this algorithm is to estimate the outside area of truncation in one projection from the projection data of the other viewing angles and the outline data of the object. The above estimation is accomplished by following two repeated procedures: (1) the modification of the calculated projection data compared each time with the already measured projection data of the truncated area, and (2) the modification of the reconstructed image compared also each time with the shape of the object. Computer simulation shows the convergence of the results obtained by this algorithm thus verifying its validity, and a reconstructed image after iterative processes exhibits good quality.

Original language | English |
---|---|

Pages (from-to) | 34-40 |

Number of pages | 7 |

Journal | IEEE Transactions on Medical Imaging |

Volume | MI-3 |

Issue number | 1 |

Publication status | Published - 1984 Mar |

Externally published | Yes |

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### ASJC Scopus subject areas

- Computational Theory and Mathematics
- Computer Science Applications
- Biomedical Engineering
- Electrical and Electronic Engineering
- Radiology Nuclear Medicine and imaging
- Radiological and Ultrasound Technology

### Cite this

*IEEE Transactions on Medical Imaging*,

*MI-3*(1), 34-40.

**RECONSTRUCTION ALGORITHM FROM TRUNCATED PROJECTIONS.** / Ogawa, Koichi; Nakajima, Masato; Yuta, Shinichi.

Research output: Contribution to journal › Article

*IEEE Transactions on Medical Imaging*, vol. MI-3, no. 1, pp. 34-40.

}

TY - JOUR

T1 - RECONSTRUCTION ALGORITHM FROM TRUNCATED PROJECTIONS.

AU - Ogawa, Koichi

AU - Nakajima, Masato

AU - Yuta, Shinichi

PY - 1984/3

Y1 - 1984/3

N2 - A new tomographic reconstruction method is proposed which permits the reconstruction of a region of interest within a slice from partially truncated scanning data. This method utilizes two types of source data, namely a series of truncated projections and the outline of the object's cross section. The principle of this algorithm is to estimate the outside area of truncation in one projection from the projection data of the other viewing angles and the outline data of the object. The above estimation is accomplished by following two repeated procedures: (1) the modification of the calculated projection data compared each time with the already measured projection data of the truncated area, and (2) the modification of the reconstructed image compared also each time with the shape of the object. Computer simulation shows the convergence of the results obtained by this algorithm thus verifying its validity, and a reconstructed image after iterative processes exhibits good quality.

AB - A new tomographic reconstruction method is proposed which permits the reconstruction of a region of interest within a slice from partially truncated scanning data. This method utilizes two types of source data, namely a series of truncated projections and the outline of the object's cross section. The principle of this algorithm is to estimate the outside area of truncation in one projection from the projection data of the other viewing angles and the outline data of the object. The above estimation is accomplished by following two repeated procedures: (1) the modification of the calculated projection data compared each time with the already measured projection data of the truncated area, and (2) the modification of the reconstructed image compared also each time with the shape of the object. Computer simulation shows the convergence of the results obtained by this algorithm thus verifying its validity, and a reconstructed image after iterative processes exhibits good quality.

UR - http://www.scopus.com/inward/record.url?scp=0021386140&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021386140&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0021386140

VL - MI-3

SP - 34

EP - 40

JO - IEEE Transactions on Medical Imaging

JF - IEEE Transactions on Medical Imaging

SN - 0278-0062

IS - 1

ER -