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Zhang M, Guo Y, Lei N, Zhao Z, Wu J, Xu X, Wang Y, Gu X. Cortical Surface Shape Analysis Based on Alexandrov Polyhedra. PROCEEDINGS. IEEE INTERNATIONAL CONFERENCE ON COMPUTER VISION 2021; 2021:14224-14232. [PMID: 35291440 PMCID: PMC8919730 DOI: 10.1109/iccv48922.2021.01398] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
Shape analysis has been playing an important role in early diagnosis and prognosis of neurodegenerative diseases such as Alzheimer's diseases (AD). However, obtaining effective shape representations remains challenging. This paper proposes to use the Alexandrov polyhedra as surface-based shape signatures for cortical morphometry analysis. Given a closed genus-0 surface, its Alexandrov polyhedron is a convex representation that encodes its intrinsic geometry information. We propose to compute the polyhedra via a novel spherical optimal transport (OT) computation. In our experiments, we observe that the Alexandrov polyhedra of cortical surfaces between pathology-confirmed AD and cognitively unimpaired individuals are significantly different. Moreover, we propose a visualization method by comparing local geometry differences across cortical surfaces. We show that the proposed method is effective in pinpointing regional cortical structural changes impacted by AD.
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Affiliation(s)
- Min Zhang
- Brigham and Women's Hospital, Harvard Medical School
| | | | - Na Lei
- Dalian University of Technology
| | | | | | - Xiaoyin Xu
- Brigham and Women's Hospital, Harvard Medical School
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Wang G, Dong Q, Wu J, Su Y, Chen K, Su Q, Zhang X, Hao J, Yao T, Liu L, Zhang C, Caselli RJ, Reiman EM, Wang Y. Developing univariate neurodegeneration biomarkers with low-rank and sparse subspace decomposition. Med Image Anal 2021; 67:101877. [PMID: 33166772 PMCID: PMC7725891 DOI: 10.1016/j.media.2020.101877] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/05/2020] [Revised: 08/24/2020] [Accepted: 10/13/2020] [Indexed: 01/01/2023]
Abstract
Cognitive decline due to Alzheimer's disease (AD) is closely associated with brain structure alterations captured by structural magnetic resonance imaging (sMRI). It supports the validity to develop sMRI-based univariate neurodegeneration biomarkers (UNB). However, existing UNB work either fails to model large group variances or does not capture AD dementia (ADD) induced changes. We propose a novel low-rank and sparse subspace decomposition method capable of stably quantifying the morphological changes induced by ADD. Specifically, we propose a numerically efficient rank minimization mechanism to extract group common structure and impose regularization constraints to encode the original 3D morphometry connectivity. Further, we generate regions-of-interest (ROI) with group difference study between common subspaces of Aβ+AD and Aβ-cognitively unimpaired (CU) groups. A univariate morphometry index (UMI) is constructed from these ROIs by summarizing individual morphological characteristics weighted by normalized difference between Aβ+AD and Aβ-CU groups. We use hippocampal surface radial distance feature to compute the UMIs and validate our work in the Alzheimer's Disease Neuroimaging Initiative (ADNI) cohort. With hippocampal UMIs, the estimated minimum sample sizes needed to detect a 25% reduction in the mean annual change with 80% power and two-tailed P=0.05are 116, 279 and 387 for the longitudinal Aβ+AD, Aβ+mild cognitive impairment (MCI) and Aβ+CU groups, respectively. Additionally, for MCI patients, UMIs well correlate with hazard ratio of conversion to AD (4.3, 95% CI = 2.3-8.2) within 18 months. Our experimental results outperform traditional hippocampal volume measures and suggest the application of UMI as a potential UNB.
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Affiliation(s)
- Gang Wang
- Ulsan Ship and Ocean College, Ludong University, Yantai, China.
| | - Qunxi Dong
- School of Computing, Informatics, and Decision Systems Engineering, Arizona State University, P.O. Box 878809 Tempe, AZ 85287, USA
| | - Jianfeng Wu
- School of Computing, Informatics, and Decision Systems Engineering, Arizona State University, P.O. Box 878809 Tempe, AZ 85287, USA
| | - Yi Su
- Banner Alzheimer's Institute and Banner Good Samaritan Pet Center, Phoenix, AZ, USA
| | - Kewei Chen
- Banner Alzheimer's Institute and Banner Good Samaritan Pet Center, Phoenix, AZ, USA
| | - Qingtang Su
- School of Information and Electrical Engineering, Ludong University, Yantai, China
| | - Xiaofeng Zhang
- School of Information and Electrical Engineering, Ludong University, Yantai, China
| | - Jinguang Hao
- School of Information and Electrical Engineering, Ludong University, Yantai, China
| | - Tao Yao
- School of Information and Electrical Engineering, Ludong University, Yantai, China
| | - Li Liu
- School of Information and Electrical Engineering, Ludong University, Yantai, China
| | - Caiming Zhang
- Shandong Province Key Lab of Digital Media Technology, Shandong University of Finance and Economics, Jinan, China
| | | | - Eric M Reiman
- Banner Alzheimer's Institute and Banner Good Samaritan Pet Center, Phoenix, AZ, USA
| | - Yalin Wang
- School of Computing, Informatics, and Decision Systems Engineering, Arizona State University, P.O. Box 878809 Tempe, AZ 85287, USA.
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