### Abstract

This paper describes a computational simulator for use in cardiac imaging using tagged magnetic resonance imaging. The simulator incorporates a 13-parameter model of left-ventricular motion due to Arts et al. (1992) and applies it to a confocal prolate spherical shell, resembling the shape of the left ventricle. Using parameters determined in other work, our model can be made to assume a configuration representing one of 60 phases in the cardiac cycle. In this paper, we determine the inverse motion map analytically, allowing pointwise correspondences to be made between two points at any two times. Using this mathematical relationship, we simulate the (tagged) magnetic resonance imaging process using a standard (tagged) spin-echo imaging equation. Image sequences can be synthesized at arbitrary orientations at any phase. We currently synthesize a SPAMM tag pattern with arbitrary spatial frequency, but other patterns can be readily incorporated. To accommodate two-dimensional motion estimation algorithms, we have created a two-dimensional simulator which restricts the three-dimensional motion to two dimensions. In either two or three dimensions, a true motion is output so that motion estimation algorithms can be compared against the truth. We conclude with a simple demonstration of the performance of the simulator.

Original language | English (US) |
---|---|

Title of host publication | Proceedings of the Workship on Mathematical Methods in Biomedical Image Analysis |

Editors | Anon |

Publisher | IEEE |

Pages | 182-191 |

Number of pages | 10 |

State | Published - 1996 |

Event | Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis - San Francisco, CA, USA Duration: Jun 21 1996 → Jun 22 1996 |

### Other

Other | Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis |
---|---|

City | San Francisco, CA, USA |

Period | 6/21/96 → 6/22/96 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Proceedings of the Workship on Mathematical Methods in Biomedical Image Analysis*(pp. 182-191). IEEE.

**Cardiac motion simulator for tagged MRI.** / Waks, Edo; Prince, Jerry Ladd; Douglas, Andrew S.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the Workship on Mathematical Methods in Biomedical Image Analysis.*IEEE, pp. 182-191, Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis, San Francisco, CA, USA, 6/21/96.

}

TY - GEN

T1 - Cardiac motion simulator for tagged MRI

AU - Waks, Edo

AU - Prince, Jerry Ladd

AU - Douglas, Andrew S.

PY - 1996

Y1 - 1996

N2 - This paper describes a computational simulator for use in cardiac imaging using tagged magnetic resonance imaging. The simulator incorporates a 13-parameter model of left-ventricular motion due to Arts et al. (1992) and applies it to a confocal prolate spherical shell, resembling the shape of the left ventricle. Using parameters determined in other work, our model can be made to assume a configuration representing one of 60 phases in the cardiac cycle. In this paper, we determine the inverse motion map analytically, allowing pointwise correspondences to be made between two points at any two times. Using this mathematical relationship, we simulate the (tagged) magnetic resonance imaging process using a standard (tagged) spin-echo imaging equation. Image sequences can be synthesized at arbitrary orientations at any phase. We currently synthesize a SPAMM tag pattern with arbitrary spatial frequency, but other patterns can be readily incorporated. To accommodate two-dimensional motion estimation algorithms, we have created a two-dimensional simulator which restricts the three-dimensional motion to two dimensions. In either two or three dimensions, a true motion is output so that motion estimation algorithms can be compared against the truth. We conclude with a simple demonstration of the performance of the simulator.

AB - This paper describes a computational simulator for use in cardiac imaging using tagged magnetic resonance imaging. The simulator incorporates a 13-parameter model of left-ventricular motion due to Arts et al. (1992) and applies it to a confocal prolate spherical shell, resembling the shape of the left ventricle. Using parameters determined in other work, our model can be made to assume a configuration representing one of 60 phases in the cardiac cycle. In this paper, we determine the inverse motion map analytically, allowing pointwise correspondences to be made between two points at any two times. Using this mathematical relationship, we simulate the (tagged) magnetic resonance imaging process using a standard (tagged) spin-echo imaging equation. Image sequences can be synthesized at arbitrary orientations at any phase. We currently synthesize a SPAMM tag pattern with arbitrary spatial frequency, but other patterns can be readily incorporated. To accommodate two-dimensional motion estimation algorithms, we have created a two-dimensional simulator which restricts the three-dimensional motion to two dimensions. In either two or three dimensions, a true motion is output so that motion estimation algorithms can be compared against the truth. We conclude with a simple demonstration of the performance of the simulator.

UR - http://www.scopus.com/inward/record.url?scp=0029695240&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029695240&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0029695240

SP - 182

EP - 191

BT - Proceedings of the Workship on Mathematical Methods in Biomedical Image Analysis

A2 - Anon, null

PB - IEEE

ER -