Level set based brain aneurysm capturing in 3D

Bin Dong, Aichi Chien, Yu Mao, Jian Ye, Fernando Vinuela, Stanley Osher

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Brain aneurysm rupture has been reported to be closely related to aneurysm size. The current method used to determine aneurysm size is to measure the dimension of the aneurysm dome and the width of the aneurysm neck. Since aneurysms usually have complicated shapes, using just the size of the aneurysm dome and neck may not be accurate and may overlook important geometrical information. In this paper we present a level set based surface capturing algorithm to first capture the aneurysms from the vascular tree. Since aneurysms are described by level set functions, volumes, curvatures and other geometric quantities of the aneurysm surface can easily be computed for medical studies. Experiments and comparisons with models used for capturing illusory contours in 2D images are performed. Applications to medical images are also presented to show the accuracy, consistency and robustness of our method in capturing brain aneurysms and volume quantification.

Original languageEnglish (US)
Pages (from-to)241-255
Number of pages15
JournalInverse Problems and Imaging
Issue number2
StatePublished - May 2010


  • Aneurysm geometry
  • Brain aneurysm
  • Gaussian curvature
  • Level set method
  • Mean curvature
  • Partial differential equations
  • Volumetric image analysis

ASJC Scopus subject areas

  • Analysis
  • Modeling and Simulation
  • Discrete Mathematics and Combinatorics
  • Control and Optimization


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