### Abstract

We introduce a non-iterative algorithm for the decomposition of fat and water from three point Dixon images. We adapt the harmonic retrieval framework to obtain the magnetic field-map as the common root of two polynomial equations; an algebraic scheme is used to solve for the field-map. To account for pixels with multiple solutions due to model mismatch, we introduce a model order estimation step. Aided by the estimate of the model order, our algorithm provides a set of feasible solutions at these pixels. We then use the prior information of the smoothness of the field-map to choose the correct solution from the set. The proposed algorithm is flexible enough to be applied to arbitrary sampling patterns and any number of metabolites. In contrast to iterative schemes that assume a single solution, the proposed scheme is not prone to ambiguous estimates due to local minima and model mismatch. This makes the algorithm applicable challenging situations, where the magnetic field is very inhomogeneous. We validate the algorithm with both phantom and human data.

Original language | English (US) |
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Title of host publication | 2007 4th IEEE International Symposium on Biomedical Imaging |

Subtitle of host publication | From Nano to Macro - Proceedings |

Pages | 1356-1359 |

Number of pages | 4 |

DOIs | |

State | Published - Nov 27 2007 |

Event | 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro; ISBI'07 - Arlington, VA, United States Duration: Apr 12 2007 → Apr 15 2007 |

### Publication series

Name | 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings |
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### Other

Other | 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro; ISBI'07 |
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Country | United States |

City | Arlington, VA |

Period | 4/12/07 → 4/15/07 |

### Fingerprint

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Medicine(all)

### Cite this

*2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings*(pp. 1356-1359). [4193546] (2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings). https://doi.org/10.1109/ISBI.2007.357112

**Non-iterative dixon decomposition of fat and water.** / Jacob, Mathews; Sutton, Bradley P.

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

*2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings.*, 4193546, 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings, pp. 1356-1359, 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro; ISBI'07, Arlington, VA, United States, 4/12/07. https://doi.org/10.1109/ISBI.2007.357112

}

TY - GEN

T1 - Non-iterative dixon decomposition of fat and water

AU - Jacob, Mathews

AU - Sutton, Bradley P.

PY - 2007/11/27

Y1 - 2007/11/27

N2 - We introduce a non-iterative algorithm for the decomposition of fat and water from three point Dixon images. We adapt the harmonic retrieval framework to obtain the magnetic field-map as the common root of two polynomial equations; an algebraic scheme is used to solve for the field-map. To account for pixels with multiple solutions due to model mismatch, we introduce a model order estimation step. Aided by the estimate of the model order, our algorithm provides a set of feasible solutions at these pixels. We then use the prior information of the smoothness of the field-map to choose the correct solution from the set. The proposed algorithm is flexible enough to be applied to arbitrary sampling patterns and any number of metabolites. In contrast to iterative schemes that assume a single solution, the proposed scheme is not prone to ambiguous estimates due to local minima and model mismatch. This makes the algorithm applicable challenging situations, where the magnetic field is very inhomogeneous. We validate the algorithm with both phantom and human data.

AB - We introduce a non-iterative algorithm for the decomposition of fat and water from three point Dixon images. We adapt the harmonic retrieval framework to obtain the magnetic field-map as the common root of two polynomial equations; an algebraic scheme is used to solve for the field-map. To account for pixels with multiple solutions due to model mismatch, we introduce a model order estimation step. Aided by the estimate of the model order, our algorithm provides a set of feasible solutions at these pixels. We then use the prior information of the smoothness of the field-map to choose the correct solution from the set. The proposed algorithm is flexible enough to be applied to arbitrary sampling patterns and any number of metabolites. In contrast to iterative schemes that assume a single solution, the proposed scheme is not prone to ambiguous estimates due to local minima and model mismatch. This makes the algorithm applicable challenging situations, where the magnetic field is very inhomogeneous. We validate the algorithm with both phantom and human data.

UR - http://www.scopus.com/inward/record.url?scp=36349033438&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36349033438&partnerID=8YFLogxK

U2 - 10.1109/ISBI.2007.357112

DO - 10.1109/ISBI.2007.357112

M3 - Conference contribution

AN - SCOPUS:36349033438

SN - 1424406722

SN - 9781424406722

T3 - 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings

SP - 1356

EP - 1359

BT - 2007 4th IEEE International Symposium on Biomedical Imaging

ER -