A Methodology of Three-Dimensional Medical Image Registration Based on Conformal Geometric Invariant. (26th August 2014)

• Record Type: Journal Article
• Authors: Hua, Liang; Yu, Kean; Ding, Lijun; Gu, Juping; Zhang, Xinsong; Cheng, Tianyu; Feng, Hao
• Other Names: Vasant Pandian Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2014(2014)
• Publication Date: 2014-08-26
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2014/573702
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.