曲面二阶几何连续性的混合曲率评价与可视化

摘要

曲面连续性评价与可视化在工业设计和分析过程中起着重要作用.针对曲面二阶几何连续性评价,提出了混合曲率的概念,并给出了基于混合曲率的曲面二阶几何连续性评价与可视化方法,可处理比传统基于单一曲率的评价方法更多奇异情况；还给出了纹理映射方法和自适应网格细分的实现算法,达到实时渲染和精度可调的要求.最后通过实例说明了该方法的有效性.%Surface interrogation and visualization play an important role in industrial design and analysis. This paper proposes the concept of the mixed curvature to represent the G2 continuity. Compared with the single-curvature based analysis methods, it can handle more singular cases. Based on it, the algorithms of the texture mapping and the adaptive mesh subdivision satisfy the real-time rendering and the adjustable resolution. Examples illustrate the effectiveness of this method.