基于曲线曲率的网格简化方法

A Mesh Simplification Method Based on Curvature of Curves

网格简化是科学可视化和虚拟现实领域中的一个重要研究方面。细节是模型的重要组成部分,而顶点的法向量是描述模型细节的一个重要参数,在网格简化中,为了在保持模型的全局特征的同时也能较好地保持模型的细节,提出了一种采用曲率加权的二次误差作为简化代价的方法,该方法基于二次误差(QEM)简化方法,在代价函数中引入了顶点法向量的变化率,即顶点的离散曲线曲率,从而使得网格简化后模型的细节能够较好地保留。此外,为了在网格绘制上获得良好的视觉效果,采用了三角形平均法向量作为顶点法向量来进行处理和显示。实验结果表明,与单纯采用二次误差(QEM)作为代价函数的简化方法相比较,新方法能够在同等的简化率下更好地保持原有模型的固有特征,并具有良好的视觉效果。

Mesh simplification is an important research topic in scientific visualization and virtuat reality. The detail characters are important parts of an object model and the vertex normal is one kind of characteristic representations. In order to preserve the detail characteristics in mesh simplification, the discrete curvature of curves is introduced to the method based on quadric error metric （QEM） in this paper. In addition, the average triangle normal is used as the vertex normal in order to get a better visual effect. The experimental result shows that the proposed method can maintain more object features at the same decimation rate as QEM method, while keeping a good visual effect.