论文标题
涡轮刀片设计的Thb-Spline近似值，局部B型近似值
THB-spline approximations for turbine blade design with local B-spline approximations
论文作者
论文摘要
我们考虑使用截短的层次B-Splines（THB-SPLINES）进行自适应重建工业模型的两阶段数据拟合。该方案的第一阶段致力于计算局部最小二乘差异样条近似值，利用简单的公平功能来处理具有局部变化的点密度的数据分布。在方法的第二阶段，考虑了构造自适应样条表面近似整个散射数据集的方法的第二阶段，考虑了基于THB分数的分层样条准插值，并引入了适当的策略来指导自适应改进。代表飞机涡轮叶片组件的几何模型上的示例选择突出了该方案的性能。测试包括带有空隙的散射数据集以及类似圆柱体表面的自适应重建。
We consider two-stage scattered data fitting with truncated hierarchical B-splines (THB-splines) for the adaptive reconstruction of industrial models. The first stage of the scheme is devoted to the computation of local least squares variational spline approximations, exploiting a simple fairness functional to handle data distributions with a locally varying density of points. Hierarchical spline quasi-interpolation based on THB-splines is considered in the second stage of the method to construct the adaptive spline surface approximating the whole scattered data set and a suitable strategy to guide the adaptive refinement is introduced. A selection of examples on geometric models representing components of aircraft turbine blades highlights the performances of the scheme. The tests include a scattered data set with voids and the adaptive reconstruction of a cylinder-like surface.
