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中文摘要：
研究了自由曲面上网格的参数化生成方法．该方法利用了张量积曲面的特性，通过在曲面上提取等参线并等分等参线来生成网格．阐述了在B样条曲面上提取等参线（实质是B样条曲线）的原理，并给出了等参线等分以及由等参数生成网格的算法步骤．列举三个不同类型曲面上网格生成的例子，通过这些算例进一步介绍该方法的使用范围和使用策略．最后通过在实际工程中的应用案例表明该法的实用性及有效性．这一新网格生成技术能够划分出既均匀又美观的网格，可以广泛应用于自由曲面空间网格结构．
英文摘要：
A parametric method for grid generation on free-form surfaces is studied. This method utilizes the characteristics of tensor product surfaces. Grids are generated by extracting and dividing isoparametric lines. The fundamentals for extracting isoparametric on B-spline surfaces are explained. The basic computational procedures for dividing an isoparametrie line （B-spline curve） and the procedures to generate grids from isoparametric lines are presented. Three examples deal- ing with free-form surfaces of distinct shapes are given to explain the flexible usage of this new method specifically. An application in engineering is introduced in the end to show the practicality and effectivity of the method. This new technology could generate even and aesthetic grids and could be applied to free-form lattice structures.
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