Generation of High-Order Polynomial Patches from Scattered Data
Generation of High-Order Polynomial Patches from Scattered Data
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DOI：
10.1007/978-3-319-01601-6_12
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Karsten Bock;J. Stiller
中科院分区：
文献类型：
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作者：
Karsten Bock;J. Stiller
当用于复杂的计算域时，谱元素方法需要曲面网格。提出了一种构造高次多项式曲面片的方法。这些面片由例如以扫描数据三角剖分的形式的散乱表面数据构建并且近似地构建。生成的贝塞尔曲面片的精度和质量显著提高，方法是先对这些精细网格进行曲线处理，然后再将其用作“精确”的曲面表示。在构建过程中对边界曲线进行迭代能量优化也显示出对面片精度和质量的积极作用。这些方法的组合产生了高多项式阶数的面片，具有高质量的曲面逼近和元素之间的几乎平滑过渡。
Spectral element methods demand for curved grids when used with complex computational domains. This paper presents a method for the construction of high order polynomial surface patches. These patches are constructed from and approximate scattered surface data e.g. in form of scanning data triangulations. Accuracy and quality of the generated Bézier patches improve significantly by curving these fine grids before using them as “exact” surface representations. Iterative energy optimisation of the bounding curves during the construction process also shows positive effect on accuracy and quality of the patches. The combination of this methods results in patches of high polynomial order that feature a high quality surface approximation and almost smooth transitions between elements.