基于单元几何变换的工业CT图像生成六面体网格优化方法

HEXAHEDRAL MESH OPTIMIZATION FROM INDUSTRIAL CT IMAGES BASED ON GEOMETRY ELEMENT TRANSFORMATION

  • 摘要: 针对目前从工业CT图像直接生成六面体网格质量差的问题,提出了一种六面体网格质量优化方法,该方法基于网格单元几何变换平滑节点,能够不借助边界函数条件优化网格质量。首先,根据序列CT图像特点,利用八叉树算法生成初始六面体网格;然后,针对网格边界节点重合和缠绕的问题,提出一种单元几何变换方法用于调整边界节点位置,确保边界节点的合理分布。对于网格中的畸变单元,结合单元缩放雅可比值控制六面体单元的正则化变换,提高网格质量;最后,使用实际工件的CT图像进行实验,结果表明:优化后的六面体网格最小缩放雅可比值由−1.00增大至0.22,平均缩放雅可比值由0.89增大至0.93,能够进行实际工程的有限元分析,证明了文中所提方法的正确性。

     

    Abstract: To address low-quality hexahedral meshes generated directly from industrial CT images, this paper proposes a boundary-constraint-free optimization method based on geometric element transformations. First, leveraging the characteristics of sequential CT images, an octree algorithm is employed to generate the initial hexahedral mesh. Then, to resolve boundary node misalignment and entanglement, a unitary geometric transformation method is introduced to adjust the positions of boundary nodes, ensuring their proper distribution. For distorted elements in the mesh, a regularization transformation is applied by incorporating the scaled Jacobian to improve the quality of hexahedral elements. Finally, experiments using CT images of actual workpieces demonstrate that the optimized hexahedral mesh achieves significant improvements: the minimum scaled Jacobian increases from −1.00 to 0.22, and the average scaled Jacobian rises from 0.89 to 0.93, making it suitable for practical engineering finite element analysis. These results validate the effectiveness of the proposed method.

     

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