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Patient-specific computational haemodynamics: generation of structured and conformal hexahedral meshes from triangulated surfaces of vascular bifurcations

Gianluca De Santis (UGent) , Matthieu De Beule (UGent) , Patrick Segers (UGent) , Pascal Verdonck (UGent) and Benedict Verhegghe (UGent)
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Abstract
Measuring the blood flow is still limited by current imaging technologies and is generally overcome using computational fluid dynamics (CFD) which, because of the complex geometry of blood vessels, has widely relied on tetrahedral meshes. Hexahedral meshes offer more accurate results with lower-density meshes and faster computation as compared to tetrahedral meshes, but their use is limited by the far more complex mesh generation. We present a robust methodology for conformal and structured hexahedral mesh generation - applicable to complex arterial geometries as bifurcating vessels - starting from triangulated surfaces. Cutting planes are used to slice the lumen surface and to construct longitudinal Bezier splines. Afterwards, an isoparametric transformation is used to map a parametrically defined quadrilateral surface mesh into the vessel volume, resulting in stacks of sections which can then be used for sweeping. Being robust and open source based, this methodology may improve the current standard in patient-specific mesh generation and enhance the reliability of CFD to patient-specific haemodynamics.
Keywords
bifurcations, hexahedral mesh, patient specific, STL, WALL SHEAR-STRESS, DYNAMICS, computational fluid dynamics, pyFormex

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Please use this url to cite or link to this publication:

Chicago
De Santis, Gianluca, Matthieu De Beule, Patrick Segers, Pascal Verdonck, and Benedict Verhegghe. 2011. “Patient-specific Computational Haemodynamics: Generation of Structured and Conformal Hexahedral Meshes from Triangulated Surfaces of Vascular Bifurcations.” Computer Methods in Biomechanics and Biomedical Engineering 14 (9): 797–802.
APA
De Santis, G., De Beule, M., Segers, P., Verdonck, P., & Verhegghe, B. (2011). Patient-specific computational haemodynamics: generation of structured and conformal hexahedral meshes from triangulated surfaces of vascular bifurcations. COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING, 14(9), 797–802.
Vancouver
1.
De Santis G, De Beule M, Segers P, Verdonck P, Verhegghe B. Patient-specific computational haemodynamics: generation of structured and conformal hexahedral meshes from triangulated surfaces of vascular bifurcations. COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING. 2011;14(9):797–802.
MLA
De Santis, Gianluca, Matthieu De Beule, Patrick Segers, et al. “Patient-specific Computational Haemodynamics: Generation of Structured and Conformal Hexahedral Meshes from Triangulated Surfaces of Vascular Bifurcations.” COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING 14.9 (2011): 797–802. Print.
@article{1053306,
  abstract     = {Measuring the blood flow is still limited by current imaging technologies and is generally overcome using computational fluid dynamics (CFD) which, because of the complex geometry of blood vessels, has widely relied on tetrahedral meshes. Hexahedral meshes offer more accurate results with lower-density meshes and faster computation as compared to tetrahedral meshes, but their use is limited by the far more complex mesh generation. We present a robust methodology for conformal and structured hexahedral mesh generation - applicable to complex arterial geometries as bifurcating vessels - starting from triangulated surfaces. Cutting planes are used to slice the lumen surface and to construct longitudinal Bezier splines. Afterwards, an isoparametric transformation is used to map a parametrically defined quadrilateral surface mesh into the vessel volume, resulting in stacks of sections which can then be used for sweeping. Being robust and open source based, this methodology may improve the current standard in patient-specific mesh generation and enhance the reliability of CFD to patient-specific haemodynamics.},
  author       = {De Santis, Gianluca and De Beule, Matthieu and Segers, Patrick and Verdonck, Pascal and Verhegghe, Benedict},
  issn         = {1025-5842},
  journal      = {COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING},
  keyword      = {bifurcations,hexahedral mesh,patient specific,STL,WALL SHEAR-STRESS,DYNAMICS,computational fluid dynamics,pyFormex},
  language     = {eng},
  number       = {9},
  pages        = {797--802},
  title        = {Patient-specific computational haemodynamics: generation of structured and conformal hexahedral meshes from triangulated surfaces of vascular bifurcations},
  url          = {http://dx.doi.org/10.1080/10255842.2010.495066},
  volume       = {14},
  year         = {2011},
}

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