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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 573702, 8 pages
Research Article

A Methodology of Three-Dimensional Medical Image Registration Based on Conformal Geometric Invariant

1School of Electrical Engineering, Nantong University, Nantong 226000, China
2College of Information Engineering, Zhejiang University of Technology, Hangzhou 310000, China

Received 15 July 2014; Accepted 16 August 2014; Published 26 August 2014

Academic Editor: Pandian Vasant

Copyright © 2014 Liang Hua et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A three-dimensional multimodality medical image registration method using geometric invariant based on conformal geometric algebra (CGA) theory is put forward for responding to challenges resulting from many free degrees and computational burdens with 3D medical image registration problems. The mathematical model and calculation method of dual-vector projection invariant are established using the distribution characteristics of point cloud data and the point-to-plane distance-based measurement in CGA space. The translation operator and geometric rotation operator during registration operation are built in Clifford algebra (CA) space. The conformal geometrical algebra is used to realize the registration of 3D CT/MR-PD medical image data based on the dual vector geometric invariant. The registration experiment results indicate that the methodology proposed in this paper is of stronger commonality, less computation burden, shorter time consumption, and intuitive geometric meaning. Both subjective evaluation and objective indicators show that the methodology proposed here is of high registration accuracy and suitable for 3D medical image registration.