Finding parametric representations of the cortical sulci using an active contour model

Marc Vaillant, Christos Davatzikos

Research output: Contribution to journalArticle

Abstract

The cortical sulci are brain structures resembling thin convoluted ribbons embedded in three dimensions. The importance of the sulci lies primarily in their relation to the cytoarchitectonic and functional organization of the underlying cortex and in their utilization as features in non-rigid registration methods. This paper presents a methodology for extracting parametric representations of the cerebral sulci from magnetic resonance images. The proposed methodology is based on deformable models utilizing characteristics of the cortical shape. Specifically, a parametric representation of a sulcus is determined by the motion of an active contour along the medial surface of the corresponding cortical fold. The active contour is initialized along the outer boundary of the brain and deforms toward the deep root of a sulcus under the influence of an external force field, restricting it to lie along the medial surface of the particular cortical fold. A parametric representation of the medial surface of the sulcus is obtained as the active contour traverses the sulcus. Based on the first fundamental form of this representation, the location and degree of an interruption of a sulcus can be readily quantified; based on its second fundamental form, shape properties of the sulcus can be determined. This methodology is tested on magnetic resonance images and it is applied to three medical imaging problems: quantitative morphological analysis of the central sulcus; mapping of functional activation along the primary motor cortex and non-rigid registration of brain images.

Original languageEnglish (US)
Pages (from-to)295-315
Number of pages21
JournalMedical Image Analysis
Volume1
Issue number4
StatePublished - 1997

Fingerprint

Brain
Magnetic resonance
Magnetic Resonance Spectroscopy
Medical imaging
Motor Cortex
Diagnostic Imaging
Chemical activation
Chemical analysis

Keywords

  • Atlas
  • Brain mapping
  • Deformable models
  • Non-rigid registration
  • Sulci

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Computer Vision and Pattern Recognition
  • Biomedical Engineering
  • Radiology Nuclear Medicine and imaging
  • Medicine (miscellaneous)
  • Computer Science (miscellaneous)

Cite this

Finding parametric representations of the cortical sulci using an active contour model. / Vaillant, Marc; Davatzikos, Christos.

In: Medical Image Analysis, Vol. 1, No. 4, 1997, p. 295-315.

Research output: Contribution to journalArticle

Vaillant, Marc ; Davatzikos, Christos. / Finding parametric representations of the cortical sulci using an active contour model. In: Medical Image Analysis. 1997 ; Vol. 1, No. 4. pp. 295-315.
@article{50a3b3e606704d77b2f0c8a8c00485ed,
title = "Finding parametric representations of the cortical sulci using an active contour model",
abstract = "The cortical sulci are brain structures resembling thin convoluted ribbons embedded in three dimensions. The importance of the sulci lies primarily in their relation to the cytoarchitectonic and functional organization of the underlying cortex and in their utilization as features in non-rigid registration methods. This paper presents a methodology for extracting parametric representations of the cerebral sulci from magnetic resonance images. The proposed methodology is based on deformable models utilizing characteristics of the cortical shape. Specifically, a parametric representation of a sulcus is determined by the motion of an active contour along the medial surface of the corresponding cortical fold. The active contour is initialized along the outer boundary of the brain and deforms toward the deep root of a sulcus under the influence of an external force field, restricting it to lie along the medial surface of the particular cortical fold. A parametric representation of the medial surface of the sulcus is obtained as the active contour traverses the sulcus. Based on the first fundamental form of this representation, the location and degree of an interruption of a sulcus can be readily quantified; based on its second fundamental form, shape properties of the sulcus can be determined. This methodology is tested on magnetic resonance images and it is applied to three medical imaging problems: quantitative morphological analysis of the central sulcus; mapping of functional activation along the primary motor cortex and non-rigid registration of brain images.",
keywords = "Atlas, Brain mapping, Deformable models, Non-rigid registration, Sulci",
author = "Marc Vaillant and Christos Davatzikos",
year = "1997",
language = "English (US)",
volume = "1",
pages = "295--315",
journal = "Medical Image Analysis",
issn = "1361-8415",
publisher = "Elsevier",
number = "4",

}

TY - JOUR

T1 - Finding parametric representations of the cortical sulci using an active contour model

AU - Vaillant, Marc

AU - Davatzikos, Christos

PY - 1997

Y1 - 1997

N2 - The cortical sulci are brain structures resembling thin convoluted ribbons embedded in three dimensions. The importance of the sulci lies primarily in their relation to the cytoarchitectonic and functional organization of the underlying cortex and in their utilization as features in non-rigid registration methods. This paper presents a methodology for extracting parametric representations of the cerebral sulci from magnetic resonance images. The proposed methodology is based on deformable models utilizing characteristics of the cortical shape. Specifically, a parametric representation of a sulcus is determined by the motion of an active contour along the medial surface of the corresponding cortical fold. The active contour is initialized along the outer boundary of the brain and deforms toward the deep root of a sulcus under the influence of an external force field, restricting it to lie along the medial surface of the particular cortical fold. A parametric representation of the medial surface of the sulcus is obtained as the active contour traverses the sulcus. Based on the first fundamental form of this representation, the location and degree of an interruption of a sulcus can be readily quantified; based on its second fundamental form, shape properties of the sulcus can be determined. This methodology is tested on magnetic resonance images and it is applied to three medical imaging problems: quantitative morphological analysis of the central sulcus; mapping of functional activation along the primary motor cortex and non-rigid registration of brain images.

AB - The cortical sulci are brain structures resembling thin convoluted ribbons embedded in three dimensions. The importance of the sulci lies primarily in their relation to the cytoarchitectonic and functional organization of the underlying cortex and in their utilization as features in non-rigid registration methods. This paper presents a methodology for extracting parametric representations of the cerebral sulci from magnetic resonance images. The proposed methodology is based on deformable models utilizing characteristics of the cortical shape. Specifically, a parametric representation of a sulcus is determined by the motion of an active contour along the medial surface of the corresponding cortical fold. The active contour is initialized along the outer boundary of the brain and deforms toward the deep root of a sulcus under the influence of an external force field, restricting it to lie along the medial surface of the particular cortical fold. A parametric representation of the medial surface of the sulcus is obtained as the active contour traverses the sulcus. Based on the first fundamental form of this representation, the location and degree of an interruption of a sulcus can be readily quantified; based on its second fundamental form, shape properties of the sulcus can be determined. This methodology is tested on magnetic resonance images and it is applied to three medical imaging problems: quantitative morphological analysis of the central sulcus; mapping of functional activation along the primary motor cortex and non-rigid registration of brain images.

KW - Atlas

KW - Brain mapping

KW - Deformable models

KW - Non-rigid registration

KW - Sulci

UR - http://www.scopus.com/inward/record.url?scp=0031215693&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031215693&partnerID=8YFLogxK

M3 - Article

VL - 1

SP - 295

EP - 315

JO - Medical Image Analysis

JF - Medical Image Analysis

SN - 1361-8415

IS - 4

ER -