Computer Science ›› 2014, Vol. 41 ›› Issue (6): 304-308.doi: 10.11896/j.issn.1002-137X.2014.06.061

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Approach for 3D Medical Image Registration Based on Clifford Algebra Geometrical Invariance

HUA Liang,DING Li-jun,HUANG Yu,FENG Hao and GU Ju-ping   

  • Online:2018-11-14 Published:2018-11-14

Abstract: Considering that 3D medical image registration has the problems of huge data,high computational complexity and low registration precision,this paper proposed a registration method based on Clifford algebra geometric invariants to realize 3D medical image registration of skull part for human,proposed Clifford algebra geometric invariants and Clifford algebra equation formulas needed by registration,constructed Clifford geometric rotation operator which is fit for rotation for the geometric reference axis,established the rotation composite operator using the corresponding Clifford geometric invariants obtained by the maximum and minimum values.To realize registration,geometric transformation was made for the floating image data.Two famous 3D medical data were tested in registration experiments.The experimental result indicates that this method has the advantages of simple calculation method,intuitive geometric meaning,high registration precision,high execution efficiency,and also not easily falls into the local extreme value in the registration process.

Key words: Clifford algebra,Geometrical invariance,3D Medical image registration,Geometric rotation operator

[1] 李雄飞,张存利,李鸿鹏,等.医学图像配准技术进展[J].计算机科学,2010,7(7):27-33
[2] Lu Xiao-qi,Ma Hong-li,Zhang Bao-hua.A non-rigid medical image registration method based on improved linear elastic model[J].International Journal for Light and Electron Optics,2012,3(20):1867-1873
[3] Hill D L G,Batchelor P G,Holden M,et al.Medical image registration[J].Physics in Medicine and Biology,2001,46(3):1-45
[4] Collignon A M F,Vandermeulen D,Suetens P,et al.Surface-based registration of 3D medical images[J].Proceedings of SPIE,1993,1898:32-42
[5] Yang Xuan,Pei Ji-hong,Sun Wei.Elastic image registration using hierarchical spatially based mean shift[J].Computers in Bio-logy and Medicine,2013,43(9):1086-1097
[6] Pluim J,Maintz J,Viergever M.Mutual-information-based registration of medical images:A survey[J].IEEE Trans on Medical Imaging,2003,22(8):986-1004
[7] 王婕妤,王加俊,张静亚.基于改进光流场和尺度不变特征变换的非刚性医学图像配准[J].电子与信息学报,2013,35(5):1222-1228
[8] 许鸿奎,江铭炎,杨明强.基于改进光流场模型的脑部多模医学图像配准[J].电子学报,2012,0(3):525-529
[9] 潘晓光,李宏,康雁,等.双向梯度归一化互信息医学图像配准方法[J].东北大学学报:自然科学版,2012,3(8):1107-1110
[10] 杜晓刚,党建武,王阳萍,等.基于萤火虫算法的互信息医学图像配准[J].计算机科学,2013,0(7):273-276
[11] Zitova B,Flusser J.Image registration methods:a survey[J].Image Vision Comp,2003,21(11):977-1000
[12] 葛永新,杨丹,雷明.基于良分布的亚像素定位角点的图像配准[J].电子与信息学报,2010,32(2):427-431
[13] Andre G,Wu K.Providing visual information to validate 2-D to 3-D registration [J].Medical Image Analysis,2000,4(4):357-368
[14] Li Guang,Xie Hu-chen,Ning H,et al.Accuracy of 3D volumetric image registration based on CT,MR and PET/CT phantom experiments[J].Journal of Applied Clinical Medical Physics,2008,9(4):17-36
[15] 李洪波.共形几何代数-几何代数的新理论和计算框架[J].计算机辅助设计与图形学报,2005,17(11):2383-2393

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