On the Laplace-Beltrami operator and brain surface flattening

被引：154

作者：

Angenent, S ^{[1
]}

Haker, S

Tannenbaum, A

Kikinis, R

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53705 USA

[2] Univ Minnesota, Dept Elect & Comp Engn, Minneapolis, MN 55455 USA

[3] Harvard Univ, Brigham & Womens Hosp, Sch Med, Boston, MA 02115 USA

来源：

IEEE TRANSACTIONS ON MEDICAL IMAGING | 1999年 / 18卷 / 08期

基金：

美国国家科学基金会;

关键词：

brain flattening; functional MRI; harmonic maps; segmentation;

D O I：

10.1109/42.796283

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, using certain conformal mappings from uniformization theory, we give an explicit method far 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.

引用

页码：700 / 711

页数：12

共 31 条

[1] ANGENENT S, UNPUB AREA PRESERVIN
[2] ANGENENT S, 1998, CONFORMAL MAPS FLATT
[3] [Anonymous], 1992, RIEMANNIAN GEOMETRY
[4] [Anonymous], 1996, VISUALIZATION TOOLKI
[5] BRECHBUHLER C, 1996, PARAMETRIZATION CLOS
[6] COMPUTATIONAL METHODS FOR RECONSTRUCTING AND UNFOLDING THE CEREBRAL-CORTEX
CARMAN, GJ
DRURY, HA
VANESSEN, DC
[J]. CEREBRAL CORTEX, 1995, 5 (06) : 506 - 517
[7] CASELLES V, 1997, INT J COMPUT VISION
[8] IMPROVED LOCALIZATION OF CORTICAL ACTIVITY BY COMBINING EEG AND MEG WITH MRI CORTICAL SURFACE RECONSTRUCTION - A LINEAR-APPROACH
DALE, AM
SERENO, MI
[J]. JOURNAL OF COGNITIVE NEUROSCIENCE, 1993, 5 (02) : 162 - 176
[9] Using a deformable surface model to obtain a shape representation of the cortex
Davatzikos, C
Bryan, RN
[J]. IEEE TRANSACTIONS ON MEDICAL IMAGING, 1996, 15 (06) : 785 - 795
[10] do Carmo M., 2016, Differential Geometry of Curves and Surfaces, Vsecond

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