Optimized conformal parameterization of cortical surfaces using shape based matching of landmark curves.

Lok Ming Lui, Sheshadri Thiruvenkadam, Yalin Wang, Tony Chan, Paul Thompson

Research output: Chapter in Book/Report/Conference proceedingChapter

6 Citations (Scopus)

Abstract

In this work, we find meaningful parameterizations of cortical surfaces utilizing prior anatomical information in the form of anatomical landmarks (sulci curves) on the surfaces. Specifically we generate close to conformal parametrizations that also give a shape-based correspondence between the landmark curves. We propose a variational energy that measures the harmonic energy of the parameterization maps, and the shape dissimilarity between mapped points on the landmark curves. The novelty is that the computed maps are guaranteed to give a shape-based diffeomorphism between the landmark curves. We achieve this by intrinsically modelling our search space of maps as flows of smooth vector fields that do not flow across the landmark curves, and by using the local surface geometry on the curves to define a shape measure. Such parameterizations ensure consistent correspondence between anatomical features, ensuring correct averaging and comparison of data across subjects. The utility of our model is demonstrated in experiments on cortical surfaces with landmarks delineated, which show that our computed maps give a shape-based alignment of the sulcal curves without significantly impairing conformality.

Original languageEnglish (US)
Title of host publicationMedical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention
Pages494-501
Number of pages8
Volume11
EditionPt 1
StatePublished - 2008
Externally publishedYes

ASJC Scopus subject areas

  • Medicine(all)

Cite this

Lui, L. M., Thiruvenkadam, S., Wang, Y., Chan, T., & Thompson, P. (2008). Optimized conformal parameterization of cortical surfaces using shape based matching of landmark curves. In Medical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention (Pt 1 ed., Vol. 11, pp. 494-501)

Optimized conformal parameterization of cortical surfaces using shape based matching of landmark curves. / Lui, Lok Ming; Thiruvenkadam, Sheshadri; Wang, Yalin; Chan, Tony; Thompson, Paul.

Medical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention. Vol. 11 Pt 1. ed. 2008. p. 494-501.

Research output: Chapter in Book/Report/Conference proceedingChapter

Lui, LM, Thiruvenkadam, S, Wang, Y, Chan, T & Thompson, P 2008, Optimized conformal parameterization of cortical surfaces using shape based matching of landmark curves. in Medical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention. Pt 1 edn, vol. 11, pp. 494-501.
Lui LM, Thiruvenkadam S, Wang Y, Chan T, Thompson P. Optimized conformal parameterization of cortical surfaces using shape based matching of landmark curves. In Medical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention. Pt 1 ed. Vol. 11. 2008. p. 494-501
Lui, Lok Ming ; Thiruvenkadam, Sheshadri ; Wang, Yalin ; Chan, Tony ; Thompson, Paul. / Optimized conformal parameterization of cortical surfaces using shape based matching of landmark curves. Medical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention. Vol. 11 Pt 1. ed. 2008. pp. 494-501
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