Hamilton-Jacobi skeleton on cortical surfaces

Yonggang Shi, Paul M. Thompson, Ivo Dinov, Arthur W. Toga

Research output: Contribution to journalArticlepeer-review

39 Scopus citations


In this paper, we propose a new method to construct graphical representations of cortical folding patterns by computing skeletons on triangulated cortical surfaces. In our approach, a cortical surface is first partitioned into sulcal and gyral regions via the solution of a variational problem using graph cuts, which can guarantee global optimality. After that, we extend the method of Hamilton-Jacobi skeleton to subsets of triangulated surfaces, together with a geometrically intuitive pruning process that can trade off between skeleton complexity and the completeness of representing folding patterns. Compared with previous work that uses skeletons of 3-D volumes to represent sulcal patterns, the skeletons on cortical surfaces can be easily decomposed into branches and provide a simpler way to construct graphical representations of cortical morphometry. In our experiments, we demonstrate our method on two different cortical surface models, its ability of capturing major sulcal patterns and its application to compute skeletons of gyral regions.

Original languageEnglish
Article number4389763
Pages (from-to)664-673
Number of pages10
JournalIEEE Transactions on Medical Imaging
Issue number5
StatePublished - May 2008
Externally publishedYes


  • Cortex
  • Folding pattern
  • Graphical representation
  • Skeleton
  • Triangular mesh


Dive into the research topics of 'Hamilton-Jacobi skeleton on cortical surfaces'. Together they form a unique fingerprint.

Cite this