Mesh quality oriented 3D geometric vascular modeling based on parallel transport frame

Jixiang Guo, Shun Li, Yim Pan Chui, Jing Qin, Pheng Ann Heng

Research output: Journal article publicationJournal articleAcademic researchpeer-review

3 Citations (Scopus)

Abstract

While a number of methods have been proposed to reconstruct geometrically and topologically accurate 3D vascular models from medical images, little attention has been paid to constantly maintain high mesh quality of these models during the reconstruction procedure, which is essential for many subsequent applications such as simulation-based surgical training and planning. We propose a set of methods to bridge this gap based on parallel transport frame. An improved bifurcation modeling method and two novel trifurcation modeling methods are developed based on 3D Bézier curve segments in order to ensure the continuous surface transition at furcations. In addition, a frame blending scheme is implemented to solve the twisting problem caused by frame mismatch of two successive furcations. A curvature based adaptive sampling scheme combined with a mesh quality guided frame tilting algorithm is developed to construct an evenly distributed, non-concave and self-intersection free surface mesh for vessels with distinct radius and high curvature. Extensive experiments demonstrate that our methodology can generate vascular models with better mesh quality than previous methods in terms of surface mesh quality criteria.
Original languageEnglish
Pages (from-to)879-888
Number of pages10
JournalComputers in Biology and Medicine
Volume43
Issue number7
DOIs
Publication statusPublished - 1 Aug 2013
Externally publishedYes

Keywords

  • Bifurcation and trifurcation
  • Geometric vascular modeling
  • Mesh quality
  • Non-concave and self-intersection free mesh
  • Parallel transport frame

ASJC Scopus subject areas

  • Computer Science Applications
  • Health Informatics

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