On the Laplace–Beltrami Operator and Brain Surface Flattening

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1853/32156

Title: On the Laplace–Beltrami Operator and Brain Surface Flattening
Author: Angenent, Sigurd ; Haker, Steven ; Tannenbaum, Allen R. ; Kikinis, Ron
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.
Description: ©1999 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or distribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. DOI: 10.1109/42.796283
Type: Article
URI: http://hdl.handle.net/1853/32156
ISSN: 0278-0062
Citation: Sigurd Angenent, Steven Haker, Allen Tannenbaum, and Ron Kikinis, "On the Laplace–Beltrami Operator and Brain Surface Flattening," IEEE Transactions on Medical Imaging, Vol. 18, No. 8, August 1999, 700-711.
Date: 1999-08
Contributor: University of Wisconsin--Madison. Dept. of Mathematics
University of Minnesota. Dept. of Electrical and Computer Engineering
Brigham and Women’s Hospital
Harvard Medical School
Publisher: Georgia Institute of Technology
Institute of Electrical and Electronics Engineers
Subject: Biomedical MRI
Brain models
Finite element analysis
Medical image processing

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