On the differential geometry of the Cortical surface

Sarang C. Joshi; Jing Wang; Michael I. Miller; David C.Van Essen; Ulf Grenander

doi:10.1117/12.216422

On the differential geometry of the Cortical surface

Sarang C. Joshi, Jing Wang, Michael I. Miller, David C.Van Essen, Ulf Grenander

Research output: Contribution to journal › Conference article › peer-review

40 Scopus citations

Abstract

The cortical fold is one of the most striking feature of the brain and it plays a tremendously important role in understanding brain function. In this paper we build a precise mathematical representation of a typical cortical surface. This representation will allow us to make statements about the geometry of the surface and will enable us to compute intrinsic geometrical properties such as the Mean and the Gaussian curvature of the surface.

Original language	English
Pages (from-to)	304-311
Number of pages	8
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	2573
DOIs	https://doi.org/10.1117/12.216422
State	Published - Aug 11 1995
Event	Vision Geometry IV 1995 - San Diego, United States Duration: Jul 9 1995 → Jul 14 1995

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title = "On the differential geometry of the Cortical surface",

abstract = "The cortical fold is one of the most striking feature of the brain and it plays a tremendously important role in understanding brain function. In this paper we build a precise mathematical representation of a typical cortical surface. This representation will allow us to make statements about the geometry of the surface and will enable us to compute intrinsic geometrical properties such as the Mean and the Gaussian curvature of the surface.",

author = "Joshi, {Sarang C.} and Jing Wang and Miller, {Michael I.} and Essen, {David C.Van} and Ulf Grenander",

note = "Funding Information: development of the manuscript. This work was supported by NIH grants RR01380 and RO1-MH52158-O1A1 and ARO DAAL-03-86-K-O11O. Publisher Copyright: {\textcopyright} 1995 SPIE. All rights reserved.; Vision Geometry IV 1995 ; Conference date: 09-07-1995 Through 14-07-1995",

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AU - Joshi, Sarang C.

AU - Wang, Jing

AU - Miller, Michael I.

AU - Essen, David C.Van

AU - Grenander, Ulf

N1 - Funding Information: development of the manuscript. This work was supported by NIH grants RR01380 and RO1-MH52158-O1A1 and ARO DAAL-03-86-K-O11O. Publisher Copyright: © 1995 SPIE. All rights reserved.

PY - 1995/8/11

Y1 - 1995/8/11

N2 - The cortical fold is one of the most striking feature of the brain and it plays a tremendously important role in understanding brain function. In this paper we build a precise mathematical representation of a typical cortical surface. This representation will allow us to make statements about the geometry of the surface and will enable us to compute intrinsic geometrical properties such as the Mean and the Gaussian curvature of the surface.

AB - The cortical fold is one of the most striking feature of the brain and it plays a tremendously important role in understanding brain function. In this paper we build a precise mathematical representation of a typical cortical surface. This representation will allow us to make statements about the geometry of the surface and will enable us to compute intrinsic geometrical properties such as the Mean and the Gaussian curvature of the surface.

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DO - 10.1117/12.216422

M3 - Conference article

AN - SCOPUS:85058420287

SN - 0277-786X

VL - 2573

SP - 304

EP - 311

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

T2 - Vision Geometry IV 1995

Y2 - 9 July 1995 through 14 July 1995

ER -

On the differential geometry of the Cortical surface

Abstract

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