### Abstract

A key issue in several brain imaging applications, including computer aided neurosurgery, functional image analysis, and morphometrics, is the spatial normalization and registration of tomographic images from different subjects. This paper proposes a technique for spatial normalization of brain images based on elastically deformable models. In our approach we use a deformable surface algorithm to find a parametric representation of the outer cortical surface and then use this representation to obtain a map between corresponding regions of the outer cortex in two different images. Based on the resulting map we then derive a three-dimensional elastic warping transformation which brings two images in register. This transformation models images as inhomogeneous elastic objects which are deformed into registration with each other by external force fields. The elastic properties of the images can vary from one region to the other, allowing more variable brain regions, such as the ventricles, to deform more freely than less variable ones. Finally, we use prestrained elasticity to model structural irregularities, and in particular the ventricular expansion occurring with aging or diseases. The performance of our algorithm is demonstrated on magnetic resonance images.

Original language | English (US) |
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Title of host publication | Proceedings of the Workship on Mathematical Methods in Biomedical Image Analysis |

Editors | Anon |

Publisher | IEEE |

Pages | 94-103 |

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 |
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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. 94-103). IEEE.

**Nonlinear registration of brain images using deformable models.** / Davatzikos, Christos.

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

*Proceedings of the Workship on Mathematical Methods in Biomedical Image Analysis.*IEEE, pp. 94-103, Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis, San Francisco, CA, USA, 6/21/96.

}

TY - GEN

T1 - Nonlinear registration of brain images using deformable models

AU - Davatzikos, Christos

PY - 1996

Y1 - 1996

N2 - A key issue in several brain imaging applications, including computer aided neurosurgery, functional image analysis, and morphometrics, is the spatial normalization and registration of tomographic images from different subjects. This paper proposes a technique for spatial normalization of brain images based on elastically deformable models. In our approach we use a deformable surface algorithm to find a parametric representation of the outer cortical surface and then use this representation to obtain a map between corresponding regions of the outer cortex in two different images. Based on the resulting map we then derive a three-dimensional elastic warping transformation which brings two images in register. This transformation models images as inhomogeneous elastic objects which are deformed into registration with each other by external force fields. The elastic properties of the images can vary from one region to the other, allowing more variable brain regions, such as the ventricles, to deform more freely than less variable ones. Finally, we use prestrained elasticity to model structural irregularities, and in particular the ventricular expansion occurring with aging or diseases. The performance of our algorithm is demonstrated on magnetic resonance images.

AB - A key issue in several brain imaging applications, including computer aided neurosurgery, functional image analysis, and morphometrics, is the spatial normalization and registration of tomographic images from different subjects. This paper proposes a technique for spatial normalization of brain images based on elastically deformable models. In our approach we use a deformable surface algorithm to find a parametric representation of the outer cortical surface and then use this representation to obtain a map between corresponding regions of the outer cortex in two different images. Based on the resulting map we then derive a three-dimensional elastic warping transformation which brings two images in register. This transformation models images as inhomogeneous elastic objects which are deformed into registration with each other by external force fields. The elastic properties of the images can vary from one region to the other, allowing more variable brain regions, such as the ventricles, to deform more freely than less variable ones. Finally, we use prestrained elasticity to model structural irregularities, and in particular the ventricular expansion occurring with aging or diseases. The performance of our algorithm is demonstrated on magnetic resonance images.

UR - http://www.scopus.com/inward/record.url?scp=0029710188&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029710188&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0029710188

SP - 94

EP - 103

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

A2 - Anon, null

PB - IEEE

ER -