右肺支气管树的三维分形模拟

肺是天然的非对称不规则体。肺内的气管树呈复杂的自相似的结构。基于最小能耗思想 ,作者根据肺的解剖学数据 ,建立右肺的细分网格坐标 ,通过计算各级分块的质心 ,寻找分叉方向与确定分叉长度 ,以 Open GL 为工具 ,实现了右肺支气管树的三维分形模拟 ,并且得到各级的长度、分叉角度和管径的具体参数。所生成的图形在形态与几何参数上与现有统计数据很吻合。计算得到该模型的分形覆盖维数为 2 .19,与其他学者计算的人体肺的理想维数 2 .171 ] 比较接近。该模型为今后用分形思想研究肺的气体扩散传递功能奠定基础。从节省计算机存储、加快图形传输上方面来说也有一定意义

A Three Dimensional Fractal Simulation of the Lung Bronchial Tree

The lungs are naturally irregular and asymmetrical organ in anatomy. The conducting bronchial trees in the lungs display complex self-similar structure. We have established the host mesh coordinates of the right lung on the basis of the anatomical data from the literature. A three-dimensional fractal model of the conducting airways was set up by calculating the coordinates of the mass centers of the divided blocks, searching the branch direction and determining branch lengths with the use of the drawing tool OpenGL. Specific data of the lengths at various grades, branching angles, and capillary diameters were obtained. As a result, the computed data were identical with those of the existing statistical data. The fractal covering dimensionality obtained in the computation of this model was 2.19, which is very close to the ideal dimensionality, 2.17, from the literature. The present model has laid the foundation for further research of the gas diffusion and transfer performance in the lungs using the fractal concept, and furthermore, it helps to save the computer memories and fastening the graphic transfer.