Diffeomorphic Sulcal Shape Analysis on the Cortex

• Published in: IEEE transactions on medical imaging Vol. 31; no. 6; pp. 1195 - 1212
• Main Authors: Joshi, Shantanu H., Cabeen, Ryan P., Joshi, Anand A., Bo Sun, Dinov, Ivo, Narr, Katherine L., Toga, Arthur W., Woods, Roger P.
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.06.2012; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adult; Algorithms; Cerebral Cortex - anatomy & histology; Computational neuroanatomy; cortical surface registration; diffeomorphic mapping; Electronic mail; Female; Humans; Image Enhancement - methods; Image Interpretation, Computer-Assisted - methods; Imaging, Three-Dimensional - methods; magnetic resonance image (MRI); Magnetic Resonance Imaging - methods; Male; Manifolds; Measurement; Models, Anatomic; Models, Statistical; Pattern Recognition, Automated - methods; Protocols; Reproducibility of Results; Sensitivity and Specificity; Shape; Studies; Subtraction Technique; sulcal shape analysis; Surface morphology; Vectors
• ISSN: 0278-0062; 1558-254X; 1558-254X
• DOI: 10.1109/TMI.2012.2186975

We present a diffeomorphic approach for constructing intrinsic shape atlases of sulci on the human cortex. Sulci are represented as square-root velocity functions of continuous open curves in R 3 , and their shapes are studied as functional representations of an infinite-dimensional sphere. This spherical manifold has some advantageous properties-it is equipped with a Riemannian L 2 metric on the tangent space and facilitates computational analyses and correspondences between sulcal shapes. Sulcal shape mapping is achieved by computing geodesics in the quotient space of shapes modulo scales, translations, rigid rotations, and reparameterizations. The resulting sulcal shape atlas preserves important local geometry inherently present in the sample population. The sulcal shape atlas is integrated in a cortical registration framework and exhibits better geometric matching compared to the conventional euclidean method. We demonstrate experimental results for sulcal shape mapping, cortical surface registration, and sulcal classification for two different surface extraction protocols for separate subject populations.