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Implicit brain imaging.

Publication ,  Journal Article
Mémoli, F; Sapiro, G; Thompson, P
Published in: NeuroImage
January 2004

We describe how implicit surface representations can be used to solve fundamental problems in brain imaging. This kind of representation is not only natural following the state-of-the-art segmentation algorithms reported in the literature to extract the different brain tissues, but it is also, as shown in this paper, the most appropriate one from the computational point of view. Examples are provided for finding constrained special curves on the cortex, such as sulcal beds, regularizing surface-based measures, such as cortical thickness, and for computing warping fields between surfaces such as the brain cortex. All these result from efficiently solving partial differential equations (PDEs) and variational problems on surfaces represented in implicit form. The implicit framework avoids the need to construct intermediate mappings between 3-D anatomical surfaces and parametric objects such planes or spheres, a complex step that introduces errors and is required by many other cortical processing approaches.

Duke Scholars

Published In

NeuroImage

DOI

EISSN

1095-9572

ISSN

1053-8119

Publication Date

January 2004

Volume

23 Suppl 1

Start / End Page

S179 / S188

Related Subject Headings

  • Neurology & Neurosurgery
  • Models, Statistical
  • Models, Anatomic
  • Image Processing, Computer-Assisted
  • Humans
  • Cerebral Cortex
  • Brain Mapping
  • Brain
  • Algorithms
  • 42 Health sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Mémoli, F., Sapiro, G., & Thompson, P. (2004). Implicit brain imaging. NeuroImage, 23 Suppl 1, S179–S188. https://doi.org/10.1016/j.neuroimage.2004.07.072
Mémoli, Facundo, Guillermo Sapiro, and Paul Thompson. “Implicit brain imaging.NeuroImage 23 Suppl 1 (January 2004): S179–88. https://doi.org/10.1016/j.neuroimage.2004.07.072.
Mémoli F, Sapiro G, Thompson P. Implicit brain imaging. NeuroImage. 2004 Jan;23 Suppl 1:S179–88.
Mémoli, Facundo, et al. “Implicit brain imaging.NeuroImage, vol. 23 Suppl 1, Jan. 2004, pp. S179–88. Epmc, doi:10.1016/j.neuroimage.2004.07.072.
Mémoli F, Sapiro G, Thompson P. Implicit brain imaging. NeuroImage. 2004 Jan;23 Suppl 1:S179–S188.
Journal cover image

Published In

NeuroImage

DOI

EISSN

1095-9572

ISSN

1053-8119

Publication Date

January 2004

Volume

23 Suppl 1

Start / End Page

S179 / S188

Related Subject Headings

  • Neurology & Neurosurgery
  • Models, Statistical
  • Models, Anatomic
  • Image Processing, Computer-Assisted
  • Humans
  • Cerebral Cortex
  • Brain Mapping
  • Brain
  • Algorithms
  • 42 Health sciences