#### DMCA

## Automatic Bilateral Symmetry (Midsagittal) Plane Extraction from Pathological 3D Neuroradiological Images

### Citations

1006 | Alignment by maximization of mutual information - Viola, Wells - 1997 |

789 | Multimodality image registration by maximization of mutual information - Maes, Collignon, et al. - 1997 |

457 | Multi-modal volume registration by maximization of mutual information - Viola, Kikinis - 1995 |

441 | The image processing handbook - Russ - 1992 |

347 |
Multiresolution elastic matching,
- Bajcsy, Kovacic
- 1989
(Show Context)
Citation Context ...ed as aX + bY + cZ + d =0; (1) and the ith axial slice by the plane equation Z = Zi. The symmetry axis (a 2D line) on the ith slice is the intersection of the above two planes: aX + bY +(cZi + d) =0: =-=(2)-=- By examining this line equation, we can make two immediate observations. First, the orientation angle of each 2D symmetry axis, namely i = arctan(b=a), should be the same for all slices regardless of... |

47 | Optimal algorithms for symmetry detection in two and three dimensions - Wolter, Woo, et al. - 1985 |

33 | D.J.Hawkes. Automated 3-D registration of MR and CT images of the head - Studholme, Hill - 1996 |

20 | T.: Content-based 3d neuroradiologic image retrieval: preliminary results - Liu, Rothfus, et al. - 1998 |

20 | Detection of partial symmetry using correlation with rotated-reected images - Masuda, Yamamoto, et al. - 1993 |

18 | Elastic matching of multimodality medical images - Moshfeghi - 1991 |

18 | Co-planar Steriotaxic Atlas of the Human Brain - Talairach, Tournoux - 1988 |

9 |
3-D object recognition with symmetric models: symmetry extraction and encoding
- Flynn
- 1994
(Show Context)
Citation Context ...be rewritten in terms of its yaw and roll angles as cos cos X + cos sin Y , sin Z + d =0 Matching up our plane parameters a; b; c (Equation (1)) with this equation, we nd by inspection that tan = b=a =-=(4)-=- p tan = ,c= (a2 + b2 ) : (5) That is, the shared angle = i of each axial slice is actually the yaw angle of the head's working coordinate system. Furthermore, the roll angle is determined by the o se... |

7 | Fast intensity-based non-rigid matching - Thirion - 1995 |

5 | Automatic extraction of the central symmetry (mid-sagittal) plane from neuroradiology images
- Liu, Collins, et al.
- 1998
(Show Context)
Citation Context ...yaw and roll angles as cos cos X + cos sin Y , sin Z + d =0 Matching up our plane parameters a; b; c (Equation (1)) with this equation, we nd by inspection that tan = b=a (4) p tan = ,c= (a2 + b2 ) : =-=(5)-=- That is, the shared angle = i of each axial slice is actually the yaw angle of the head's working coordinate system. Furthermore, the roll angle is determined by the o sets of the symmetry axes on th... |

3 |
Nonlinear registraion of brain images using deformable models
- Davatzikos
- 1996
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Citation Context ...ould be the same for all slices regardless of their Zi position. Secondly, the o set transi of the symmetry axis on slice Z = Zi exhibits a simple linear relationship with Zi, namely transi = cZi + d =-=(3)-=- from which, given the translational o set of at least two symmetry axes on di erent slices, we can compute symmetry plane parameters c and d by solving a set of linear equations. These observations f... |

2 | Finding symmetries of polyhedra - Waltzman - 1987 |

1 |
Quanti cation of Brain Function. Tracer Kinetics and Image Analysis in Brain PET: Accurate PET positioning with reference to MRI and neuroanatomical data bases
- Allain, Travere, et al.
- 1993
(Show Context)
Citation Context ... courtesy of the Visible Human Project. Z 0 Y 0 Y ROLLs2.1. Geometry of the Symmetry Plane Under the working coordinate system, the bilateral symmetry plane can be represented as aX + bY + cZ + d =0; =-=(1)-=- and the ith axial slice by the plane equation Z = Zi. The symmetry axis (a 2D line) on the ith slice is the intersection of the above two planes: aX + bY +(cZi + d) =0: (2) By examining this line equ... |