A volumetric conformal mapping approach for clustering white matter fibers in the brain

Vikash Gupta, Gautam Prasad, Paul Thompson

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

The human brain may be considered as a genus-0 shape, topologically equivalent to a sphere. Various methods have been used in the past to transform the brain surface to that of a sphere using harmonic energy minimization methods used for cortical surface matching. However, very few methods have studied volumetric parameterization of the brain using a spherical embedding. Volumetric parameterization is typically used for complicated geometric problems like shape matching, morphing and isogeometric analysis. Using conformal mapping techniques, we can establish a bijective mapping between the brain and the topologically equivalent sphere. Our hypothesis is that shape analysis problems are simplified when the shape is defined in an intrinsic coordinate system. Our goal is to establish such a coordinate system for the brain. The efficacy of the method is demonstrated with a white matter clustering problem. Initial results show promise for future investigation in these parameterization technique and its application to other problems related to computational anatomy like registration and segmentation.

Original languageEnglish
Title of host publicationSpectral and Shape Analysis in Medical Imaging - First International Workshop, SeSAMI 2016 Held in Conjunction with MICCAI 2016, Revised Selected Papers
EditorsHerve Lombaert, Christian Wachinger, Martin Reuter
PublisherSpringer Verlag
Pages3-14
Number of pages12
ISBN (Print)9783319512365
DOIs
StatePublished - 2016
Externally publishedYes
Event1st International Workshop on Spectral and Shape Analysis in Medical Imaging, SeSAMI 2016 Held in Conjunction with 19th International Conference on Medical Image Computing and Computer Assisted Interventions, MICCAI 2016 - Athens, Greece
Duration: 21 Oct 201621 Oct 2016

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10126 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference1st International Workshop on Spectral and Shape Analysis in Medical Imaging, SeSAMI 2016 Held in Conjunction with 19th International Conference on Medical Image Computing and Computer Assisted Interventions, MICCAI 2016
Country/TerritoryGreece
CityAthens
Period21/10/1621/10/16

Keywords

  • Conformal mapping
  • Spectral clustering
  • Volumetric parameterization
  • White matter fiber clustering

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