Oriented Morphometry of Folds on Surfaces

Abstract. The exterior surface of the brain is characterized by a juxtaposition of crests and troughs that together form a folding pattern. The majority of the deformations that occur in the normal course of adult human development result in folds changing their length or width. Current statistical shape analysis methods cannot easily discriminate between these two cases. Using discrete exterior calculus and Tikhonov regularization, we develop a method to estimate a dense orientation field in the tangent space of a surface described by a triangulated mesh, in the direction of its folds. We then use this orientation field to distinguish between shape differences in the direction parallel to folds and those in the direction across them. We test the method quantitatively on synthetic data and qualitatively on a database consisting of segmented cortical surfaces of 92 healthy subjects and 97 subjects with Alzheimer's disease. The method estimates the correct fold directions and also i...

• Type: Conference
• Year: 2009
• Where: IPMI
• Authors: Maxime Boucher, Alan C. Evans, Kaleem Siddiqi
• Keywords: Direction Parallel, IPMI 2009, Medical Imaging, Shape Analysis Methods, Shape Differences