A non-rigid registration method for the efficient analysis of shape deviations in production engineering applications
A non-rigid registration method for the efficient analysis of shape deviations in production engineering applications
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DOI：
10.1007/s11740-016-0660-0
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发表时间：
2016-01
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影响因子：
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通讯作者：
M. Schweinoch;R. Schäfer;A. Sacharow;D. Biermann;C. Buchheim
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文献类型：
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作者：
M. Schweinoch;R. Schäfer;A. Sacharow;D. Biermann;C. Buchheim
生产工程应用中的一个常见要求是比较设计部件和竣工部件。由于制造影响和物理原型制作过程中的几何变化，这些形状之间可能存在显著偏差。为了补偿制造影响并将几何变化纳入虚拟设计，需要对偏差进行详细分析。设计（或参考）形状通常以CAD数据集的形式给出，而竣工（或测试）几何形状则通过物理制造原型的数字化来获取。给定这两种几何形状，人们面临着确定它们之间的对应点的问题。这也被称为注册。Inrigidregistration，对应关系是通过首先使用最佳拟合方法严格对齐两个几何形状来确定的。随后，通过为一个形状的点找到另一个形状上的最近表面点来确定对齐的几何形状之间的对应关系。虽然存在几种有效的刚性配准方法，但它们不考虑形状偏差，导致应用于此类几何体时对应不准确。相反，非刚性配准方法不搜索全局最佳拟合对齐，而是影响一个几何体到另一个几何体的变形，从而改进对应计算。大多数已发布的最先进的非刚性配准方法不一定适用于生产工程场景，这尤其是由于典型的数据大小和对应性确定中所需的准确度水平。另一个障碍是它们缺乏车间适用性，这归因于它们的计算时间以及它们的应用代表用户所需的专门知识。本文提出了一种非刚性配准方法，用于生产工程场景中的对应关系的有效计算。通过结合几何建模领域的几种方法，将测试形状迭代变形到参考形状上。当变形的测试形状令人满意地近似参考几何形状时，通过投影确定对应关系。该程序适用于回弹行为的问题，这出现在金属板成形。该方法的验证是通过比较计算出的对应与理想的对应，确定由有限元模拟。
A common requirement in production engineering applications is the comparison of designed and as-built parts. Due to manufacturing influences and geometric changes incorporated during physical prototyping, there may exist significant deviations between these shapes. In order to compensate the manufacturing influences and to incorporate geometric changes into the virtual design, a detailed analysis of the deviations is required. The designed (or reference) shape is usually given in terms of a CAD data set, while the as-built (or test) geometry is acquired by digitization of the physically manufactured prototype. Given these two geometries, one is faced with the problem of determining points of correspondence between them. This is also referred to as registration. Inrigidregistration, correspondences are determined by first aligning the two geometries rigidly using a best-fit approach. Subsequently, the correspondences between the aligned geometries are determined by finding for a point of one shape the closest surface point on the other. While several efficient rigid registration methods exist, they do not account for shape deviations, resulting in inaccurate correspondences when applied to such geometries.Non-rigidregistration methods, conversely, do not search for a global best-fit alignment, but instead affect a deformation of the one geometry onto the other, allowing for an improved correspondence calculation. Most published state-of-the-art non-rigid registration methods are not necessarily applicable to production engineering scenarios due to, among others, the typical data sizes and the required level of accuracy in the correspondence determination. A further hindrance is their lack of shop-floor applicability, attributable to their calculation times as well as to the expertise that their application requires on behalf of the user. This paper presents a non-rigid registration method for the efficient calculation of correspondences in production engineering scenarios. By combination of several established methods from the field of geometric modeling, the test shape is iteratively deformed onto the reference shape. When the deformed test shape satisfiably approximates the reference geometry, correspondences are determined by projection. The procedure is applied to the problem of springback behavior, which arises in sheet metal forming. A validation of the method is achieved by comparing the calculated correspondences with the ideal correspondences, as determined by finite element simulation.