Department of Computer Science, Swansea University, Faraday Tower, Singleton Park, Swansea, SA2 8PP, United Kingdom.
IEEE Trans Vis Comput Graph. 2013 Jul;19(7):1199-217. doi: 10.1109/TVCG.2012.310.
Three-dimensional surface registration transforms multiple three-dimensional data sets into the same coordinate system so as to align overlapping components of these sets. Recent surveys have covered different aspects of either rigid or nonrigid registration, but seldom discuss them as a whole. Our study serves two purposes: 1) To give a comprehensive survey of both types of registration, focusing on three-dimensional point clouds and meshes and 2) to provide a better understanding of registration from the perspective of data fitting. Registration is closely related to data fitting in which it comprises three core interwoven components: model selection, correspondences and constraints, and optimization. Study of these components 1) provides a basis for comparison of the novelties of different techniques, 2) reveals the similarity of rigid and nonrigid registration in terms of problem representations, and 3) shows how overfitting arises in nonrigid registration and the reasons for increasing interest in intrinsic techniques. We further summarize some practical issues of registration which include initializations and evaluations, and discuss some of our own observations, insights and foreseeable research trends.
三维表面配准将多个三维数据集转换到同一坐标系中，以便对齐这些数据集的重叠部分。最近的调查涵盖了刚性或非刚性配准的不同方面，但很少将它们作为一个整体进行讨论。我们的研究有两个目的：1）全面调查两种类型的配准，重点是三维点云和网格；2）从数据拟合的角度更好地理解配准。配准与数据拟合密切相关，它包括三个核心交织的组件：模型选择、对应和约束以及优化。对这些组件的研究 1）为比较不同技术的新颖性提供了基础；2）揭示了刚性和非刚性配准在问题表示方面的相似性；3）展示了非刚性配准中如何出现过拟合以及为什么对内在技术的兴趣增加。我们进一步总结了配准的一些实际问题，包括初始化和评估，并讨论了我们自己的一些观察、见解和可预见的研究趋势。
