Zhang Yongjie, Bajaj Chandrajit, Xu Guoliang
Computational Visualization Center, Institute for Computational Engineering and Sciences, The University of Texas at Austin, USA.
Commun Numer Methods Eng. 2007 Nov 20;25(1):1-18. doi: 10.1002/cnm.1067.
This paper describes an approach to smooth the surface and improve the quality of quadrilateral/hexahedral meshes with feature preserved using geometric flow. For quadrilateral surface meshes, the surface diffusion flow is selected to remove noise by relocating vertices in the normal direction, and the aspect ratio is improved with feature preserved by adjusting vertex positions in the tangent direction. For hexahedral meshes, besides the surface vertex movement in the normal and tangent directions, interior vertices are relocated to improve the aspect ratio. Our method has the properties of noise removal, feature preservation and quality improvement of quadrilateral/hexahedral meshes, and it is especially suitable for biomolecular meshes because the surface diffusion flow preserves sphere accurately if the initial surface is close to a sphere. Several demonstration examples are provided from a wide variety of application domains. Some extracted meshes have been extensively used in finite element simulations.
本文描述了一种使用几何流来平滑曲面并提高保留特征的四边形/六面体网格质量的方法。对于四边形曲面网格，选择表面扩散流通过沿法向重新定位顶点来去除噪声，并通过沿切向调整顶点位置来在保留特征的情况下改善纵横比。对于六面体网格，除了表面顶点在法向和切向的移动外，内部顶点也会重新定位以改善纵横比。我们的方法具有去除噪声、保留特征以及提高四边形/六面体网格质量的特性，并且特别适用于生物分子网格，因为如果初始曲面接近球体，表面扩散流能精确地保留球体。提供了来自各种应用领域的几个示范示例。一些提取的网格已广泛用于有限元模拟。
