On the Laplace-Beltrami operator and brain surface flattening

S Angenent; S Haker; A Tannenbaum; R Kikinis

doi:10.1109/42.796283

On the Laplace-Beltrami operator and brain surface flattening

IEEE Trans Med Imaging. 1999 Aug;18(8):700-11. doi: 10.1109/42.796283.

Authors

S Angenent¹, S Haker, A Tannenbaum, R Kikinis

Affiliation

¹ Department of Mathematics, University of Wisconsin, Madison 53705, USA.

PMID: 10534052
DOI: 10.1109/42.796283

Abstract

In this paper, using certain conformal mappings from uniformization theory, we give an explicit method for flattening the brain surface in a way which preserves angles. From a triangulated surface representation of the cortex, we indicate how the procedure may be implemented using finite elements. Further, we show how the geometry of the brain surface may be studied using this approach.

Publication types

Research Support, Non-U.S. Gov't
Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

Brain / anatomy & histology*
Humans
Image Processing, Computer-Assisted / methods*
Magnetic Resonance Imaging / methods*