Title :
On the Laplace-Beltrami operator and brain surface flattening
Author :
Angenent, Sigurd ; Haker, Steven ; Tannenbaum, Allen ; Kikinis, Ron
Author_Institution :
Dept. of Math., Wisconsin Univ., Madison, WI, USA
Abstract :
In this paper, using certain conformal mappings from uniformization theory, the authors give an explicit method for flattening the brain surface in a way which preserves angles. From a triangulated surface representation of the cortex, the authors indicate how the procedure may be implemented using finite elements. Further, they show how the geometry of the brain surface may be studied using this approach.
Keywords :
biomedical MRI; brain models; finite element analysis; medical image processing; Laplace-Beltrami operator; MRI; brain surface flattening; conformal mappings; cortex; magnetic resonance imaging; medical diagnostic imaging; triangulated surface representation; uniformization theory; Brain; Conformal mapping; Data visualization; Finite element methods; Geometry; Image segmentation; Magnetic resonance imaging; Mathematics; Surface fitting; Topology; Brain; Humans; Image Processing, Computer-Assisted; Magnetic Resonance Imaging;
Journal_Title :
Medical Imaging, IEEE Transactions on