Surface Fluid Registration of Conformal Representation: Application to Detect Disease Burden and Genetic Influence on Hippocampus
Jie Shi, Paul M. Thompson, Boris Gutman and Yalin Wang
In this paper, we develop a new automated surface registration system based on surface conformal parameterization by holomorphic 1-forms, inverse consistent surface fluid registration, and multivariate tensor-based morphometry (mTBM). First, we conformally map a surface onto a planar rectangle space with holomorphic 1-forms. Second, we compute surface conformal representation by combining its local conformal factor and mean curvature and linearly scale the dynamic range of the conformal representation to form the feature image of the surface. Third, we align the feature image with a chosen template image via the fluid image registration algorithm, which has been extended into the curvilinear coordinates to adjust for the distortion introduced by surface parameterization. The inverse consistent image registration algorithm is also incorporated in the system to jointly estimate the forward and inverse transformations between the study and template images. This alignment induces a corresponding deformation on the surface. We tested the system on Alzheimer’s Disease Neuroimaging Initiative (ADNI) baseline dataset to study AD symptoms on hippocampus. In our system, by modeling a hippocampus as a 3D parametric surface, we nonlinearly registered each surface with a selected template surface. Then we used mTBM to analyze the morphometry difference between diagnostic groups. Experimental results show that the new system has better performance than two publically available subcortical surface registration tools: FIRST and SPHARM. We also analyzed the genetic influence of the Apolipoprotein E e4 allele (ApoE4), which is considered as the most prevalent risk factor for AD. Our work successfully detected statistically significant difference between ApoE4 carriers and non-carriers in both patients of mild cognitive impairment (MCI) and healthy control subjects. The results show evidence that the ApoE genotype may be associated with accelerated brain atrophy so that our work provides a new MRI analysis tool that may help presymptomatic AD research.
Figures (click on each for a larger version):
- Shi J, Thompson PM, Gutman B, Wang Y, ADNI Group, Surface Fluid Registration of Conformal Representation: Application to Detect Disease Burden and Genetic Influence on Hippocampus, NeuroImage, 78, 2013, pp. 111-134.
- Shi J, Wang Y, Ceschin R, An X, Nelson MD, Panigrahy A, Leporé N , Surface Fluid Registration and Multivariate Tensor-based Morphometry in NewBorns – the Effects of Prematurity on the Putamen, Asia-Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA ASC), Hollywood, CA, Dec. 2012
- Shi J, Wang Y, Thompson PM, Wang Y, “Hippocampal Morphometry Study by Automated Surface Fluid Registration and Its Application to Alzheimer’s Disease”, 3rd MICCAI Workshop on Mathematical Foundations of Computational Anatomy (MFCA), 2011:Toronto, Canada.
- Shi J, Thompson PM, Wang Y, “Human Brain Mapping with Conformal Geometry and Multivariate Tensor-based Morphometry”, MICCAI Workshop: International Workshop on Multimodal Brain Image Analysis (MBIA), 2011:Toronto, Canada. (Invited Paper)
- Y. Wang, M.-C. Chiang, and P.M. Thompson, “Mutual Information-based 3D Surface Matching with Applications to Face Recognition and Brain Mapping“, 10th IEEE International Conference on Computer Vision (ICCV), Beijing, China, Oct. 2005, pp. 527-534
- Y. Wang, M.-C. Chiang, and P.M. Thompson, “Automated Surface Matching using Mutual Information Applied to Riemann Surface Structures“, Medical Image Computing and Computer-Assisted Intervention – MICCAI 2005: 8th International Conference, Palm Springs, CA, USA, Oct. 26-29, 2005, Proceedings, Part II, pp. 666-674
- Y. Wang, M.-C. Chiang, and P.M. Thompson, “3D Surface Matching with Mutual Information and Riemann Surface Structures“, Proceedings of the Eighth IASTED International Conference, Computer Graphics and Imaging (CGIM), Aug. 15-17, 2005, Honolulu, HI, USA, pp. 94-99
- Wang Y, Wang Y, Toga AW, Thompson PM, “Hippocampal Morphometry in AD with Surface Fluid Registration and Multivariate Tensor-Based Morphometry”, 16th Annual Meeting of the Organization for Human Brain Mapping. 2010: Barcelona, Spain.