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Patient-Specific Vascular NURBS Modeling for Isogeometric Analysis of Blood Flow

Zhang, Yongjie, Yuri Bazilevs, Samrat Goswami, Chandrajit L. Bajaj, and Thomas J.R. Hughes

Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.73-92, September 17-20 2006

IMR
PROCEEDINGS

15th International Meshing Roundtable
Birmingham, Alabama, U.S.A.
September 17-20, 2006

Zhang, Yongjie, Yuri Bazilevs, Samrat Goswami, and Thomas J.R. Hughes
Institute for Computational Engineering and Sciences, The University of Texas at Austin, United States.

Chandrajit L. Bajaj
Department of Computer Sciences and Institute for Computational Engineering and Sciences, The University of Texas at Austin, United States.

Abstract
We describe an approach to construct hexahedral solid NURBS (Non-Uniform Rational B-Splines) meshes for patient-specific vascular geometric models from imaging datafor use in isogeometric analysis. First, image processing techniques, such as contrast enhancement,filtering, classification, and segmentation, are used to improve the quality of the input imaging data. Then, lumenal surfaces are extracted by isocontouring the preprocessed data, followed by the extraction of vascular skeleton via Voronoi and Delaunay diagrams. Next, the skeleton-based sweeping method is used to construct hexahedral control meshes. Templates are designed for various branching configurations to decompose the geometry into mapped meshable patches. Each patch is then meshed using one-to-one sweeping techniques, and boundary vertices are projected to the lumenal surface. Finally, hexahedral solid NURBS are constructed and used in isogeometric analysis of blood flow. Piecewise linear hexahedral meshes can also be obtained using this approach. Examples of patient-specific arterial models are presented.

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