Comparison of methods for axis detection of high-density acquired axially-symmetric surfaces
Comparison of methods for axis detection of high-density acquired axially-symmetric surfaces
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DOI：
10.1007/s12008-014-0209-4
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发表时间：
2014-08-01
影响因子：
2.1
通讯作者：
Morabito, Anna Eva
中科院分区：
文献类型：
--
作者：
Di Angelo, Luca;Di Stefano, Paolo;Morabito, Anna Eva
轴评估是从考古学到机械工件的几何检查等多种应用的基本预备步骤。对称轴是轴对称曲面的形态特征，也是评价特定几何特性（轴的圆度、圆柱度和直线度）的参考。由于它是非物理几何实体，因此不能直接从表面测量，但仍然可以从表面导出。对于由点云或三角网格定义的离散模型，对称轴检测是一项非常复杂的任务。本文回顾并比较了常见情况下高密度采集轴对称曲面轴估计的三种方法。这项工作中进行的方法比较不仅仅包括文献中已经描述的方法的普通实现。这些方法涉及一些辅助处理工具（主要用于评估几何微分属性），这些工具表征了所实现的版本及其性能。对于这些方法中的每一种，都考虑并实现了各种版本，这些版本使用于细分模型的几何微分属性的标准彼此多样化。在解释几种类型的离散化（网格的大小和规则性）的轴对称几何形状（解析的和通用的、部分的和完整的）的轴时，对轴估计的方法进行了比较。结果表明，在完全轴对称特征（解析或通用）的情况下，三种分析方法执行相似的结果。在存在不完全轴对称特征的情况下，这些方法表现出截然不同的性能。轴估计方法在需要精度和可靠性的多种应用中特别令人感兴趣。本文确定了最重要方法的主要特征，并给出了一些使用指南。
Axis evaluation is a fundamental preliminary step for several applications, from archaeology to geometric inspection of mechanical workpieces. The axis of symmetry is the situation feature of axially-symmetric surfaces, but also a reference for the evaluation of specific geometric properties (roundness, cylindricity and straightness of the axis). Since it is a non-physical geometric entity, it is not directly measurable from the surface, but can nevertheless be derived from the surface. For discretised models, defined by point clouds or triangular meshes, the axis of symmetry detection is a very complex task to accomplish. In this paper three methods for axis estimation of high-density acquired axially-symmetric surfaces are reviewed and compared in the common cases. The methods comparison, performed in this work, doesn't consist just in an ordinary implementation of methods already described in the literature. These methods involve some auxiliary processing tools (mainly devoted to evaluate geometric differential properties) which characterise the implemented version and its performances. For each of these methods various versions have been considered and implemented which diversify each other for the criterion used for geometrical differential properties of the tessellated model. The methods for axis estimation are compared in the interpretation of the axes of axially-symmetric geometries (analytical and generic, partial and complete) for several types of discretization (size and regularity of the mesh). The results show that in the case of complete axially-symmetric features (analytical or generic), the three analysed methods perform similar results. In presence of not complete axially-symmetric features the methods show very different performances. The methods for axes estimation are of particular interest in several applications where precision and reliability are required. In this paper the main characteristics of the most important methods are identified and some guidelines for their use are given.