论文标题
整流罩：整流罩和表面产生的渐进式迭代近似
Fairing-PIA: Progressive iterative approximation for fairing curve and surface generation
论文作者
论文摘要
整流罩和表面在几何设计，建模和工业制造中广泛使用。但是，大多数传统的平流式方法（缺乏足够的参数来提高公平性）是基于能量最小化问题的。在这项研究中，我们开发了一种新型的渐进式近似方法，用于整流罩曲线和表面产生（整流罩）。整流罩是一种迭代方法，可以通过调整B型曲线曲线（表面）的控制点来生成一系列曲线（表面）。在整流罩中，每个控制点都具有个体的重量。因此，整流罩具有许多参数来优化曲线和表面的形状。不仅可以通过整流罩在全球生成整洁曲线（表面），而且还可以在本地改善曲线（表面）。此外，我们证明了开发的平流式PIA的融合，并表明传统的能量最小化模型是整流罩的特殊情况。最后，数值示例表明所提出的方法有效有效。
The fairing curves and surfaces are used extensively in geometric design, modeling, and industrial manufacturing. However, the majority of conventional fairing approaches, which lack sufficient parameters to improve fairness, are based on energy minimization problems. In this study, we develop a novel progressive-iterative approximation method for fairing curve and surface generation (fairing-PIA). Fairing-PIA is an iteration method that can generate a series of curves (surfaces) by adjusting the control points of B-spline curves (surfaces). In fairing-PIA, each control point is endowed with an individual weight. Thus, the fairing-PIA has many parameters to optimize the shapes of curves and surfaces. Not only a fairing curve (surface) can be generated globally through fairing-PIA, but also the curve (surface) can be improved locally. Moreover, we prove the convergence of the developed fairing-PIA and show that the conventional energy minimization fairing model is a special case of fairing-PIA. Finally, numerical examples indicate that the proposed method is effective and efficient.
