TY - GEN
T1 - Inverse-consistent surface mapping with laplace-beltrami eigen-features
AU - Shi, Yonggang
AU - Morra, Jonathan H.
AU - Thompson, Paul M.
AU - Toga, Arthur W.
PY - 2009
Y1 - 2009
N2 - We propose in this work a novel variational method for computing maps between surfaces by combining informative geometric features and regularizing forces including inverse consistency and harmonic energy. To tackle the ambiguity in defining homologous points on smooth surfaces, we design feature functions in the data term based on the Reeb graph of the Laplace-Beltrami eigenfunctions to quantitatively describe the global geometry of elongated anatomical structures. For inverse consistency and robustness, our method computes simultaneously the forward and backward map by iteratively solving partial differential equations (PDEs) on the surfaces. In our experiments, we successfully mapped 890 hippocampal surfaces and report statistically significant maps of atrophy rates between normal controls and patients with mild cognitive impairment (MCI) and Alzheimer's disease (AD).
AB - We propose in this work a novel variational method for computing maps between surfaces by combining informative geometric features and regularizing forces including inverse consistency and harmonic energy. To tackle the ambiguity in defining homologous points on smooth surfaces, we design feature functions in the data term based on the Reeb graph of the Laplace-Beltrami eigenfunctions to quantitatively describe the global geometry of elongated anatomical structures. For inverse consistency and robustness, our method computes simultaneously the forward and backward map by iteratively solving partial differential equations (PDEs) on the surfaces. In our experiments, we successfully mapped 890 hippocampal surfaces and report statistically significant maps of atrophy rates between normal controls and patients with mild cognitive impairment (MCI) and Alzheimer's disease (AD).
UR - http://www.scopus.com/inward/record.url?scp=70349333384&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-02498-6_39
DO - 10.1007/978-3-642-02498-6_39
M3 - Conference contribution
C2 - 19694286
AN - SCOPUS:70349333384
SN - 3642024971
SN - 9783642024979
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 467
EP - 478
BT - Information Processing in Medical Imaging - 21st International Conference, IPMI 2009, Proceedings
T2 - 21st International Conference on Information Processing in Medical Imaging, IPMI 2009
Y2 - 5 July 2009 through 10 July 2009
ER -