论文标题
基于PDE的平面参数化，面向目标的自适应THB-SPLINE方案
Goal-Oriented Adaptive THB-Spline Schemes for PDE-Based Planar Parameterization
论文作者
论文摘要
本文提出了一个基于PDE的平面参数化框架，并支持截断的层次B-Splines（THB-Splines）。为此，我们采用双重加权残留的后验细化策略，并呈现几种自适应数值方案，目的是近似谐波几何参数化。因此，以目标为导向的后验策略和支持THB的局部改进的组合避免了过度的填充，尤其是在具有复杂边界的几何形状中。为了控制结果的参数属性，我们介绍了域精炼的概念。在此，优化了映射映射的域的属性，以微调重新计算的几何参数参数化的参数属性。
This paper presents a PDE-based planar parameterization framework with support for Truncated Hierarchical B-Splines (THB-splines). For this, we adopt the a posteriori refinement strategy of Dual Weighted Residual and present several adaptive numerical schemes for the purpose of approximating an inversely harmonic geometry parameterization. Hereby, the combination of goal-oriented a posteriori strategies and THB-enabled local refinement avoids over-refinement, in particular in geometries with complex boundaries. To control the parametric properties of the outcome, we introduce the concept of domain refinement. Hereby, the properties of the domain into which the mapping maps inversely harmonically, are optimized in order to fine-tune the parametric properties of the recomputed geometry parameterization.
