空间旋转对称场可视分析

Visual Analysis of 3D Rotational Symmetry Fields

构建旋转对称场是生成多面体网格的一个关键步骤,而空间旋转对称场的模式复杂,缺乏有效的可视化与特征分析手段.为此,提出一套基于参数化的空间旋转对称场表达、可视化与分析方法.首先对对称场进行规则化采样,再对规则化的对称场进行局部区域形状重建,以获取局部区域的近似标量场表达;进而使用Zernike描述算子将该局部标量场分解为一系列旋转无关的特征参数,逐区域地处理整个对称场,将之转化为多变量标量数据;最后采用多变量可视化方法进行可视分析和特征抽取.计算实例的应用结果表明,该方法能有效地对空间旋转对称场进行可视分析,抽取出用户感兴趣的特征.

Creating rotational symmetry field plays a key role for generating the auxiliary mesh structures. However, analyzing and visualizing 3D rotational symmetry fields is challenging due to its complex patterns and the lack of efficient visualization methods. This paper proposes a feature description and visual analysis approach that consists of three stages. First, a regularization sampling is performed. The shape of every local area in symmetrical field is reconstructed to obtain the approximate scalar field of the area. Then, a set of Zernike descriptors are computed at each local sampling point, yielding a series of rotating independent parameters. A multi-variable field is generated after the traversal process for all the local areas. Finally, an iterative visual analysis process is interactively carried out to detect interested features in the field. The results on datasets verify that the proposed method can effectively support the visual analysis of 3D rotational symmetric fields.