Data Fitting for Reverse Engineering

该项目的目标是进行基础研究，以更好地理解逆向工程中的表面拟合技术。给定从工程部件中采样的一组无组织或半组织的点，寻求方法和算法将一组光滑表面拟合到形成原始部件设计边界的数据上。这个过程被称为逆向工程，用于在没有原始设计的情况下重新设计现有部件。需要解决的关键问题是有效的表面定义、表面块的连续性、数据缩减、输出表面数据大小以及传统表面类型（如圆柱形或球形零件）的识别。如果成功，该研究的好处是：(1)在逆向工程中近似的新范式，(2)一套可以在学术课程和工业系统中使用的可视化可描述算法，以及(3)稳健且易于实现的拟合方法的理论和计算基础。这个计划是建立在学术界和产业界合作的基础上，进行基础研究，以发挥计算机辅助设计和计算机辅助制造业的竞争力。

The objective of the project is to perform basic research leading to better understanding of surface fitting technologies in reverse engineering. Given a set of unorganized or semi-organized points, sampled from an engineering part, methodologies and algorithms are sought to fit a set of smooth surfaces to the data forming the boundaries of the original part design. The process is called reverse engineering and is used to re-engineer an existing part in the absence of the original design. Critical issues to be addressed are efficient surface definition, continuity across surface patches, data reduction, output surface data size, and recognition of conventional surfaces types, such as cylindrical or spherical parts.If successful, the benefits of the research are: (1) a new paradigm for approximation in reverse engineering, (2) a set of visually describable algorithms that can be used in an academic course as well as in an industrial system, and (3) theoretical and computational foundations of robust and easy to implement fitting methodologies. The project is built upon a partnership between academia and industry to conduct basic research to leverage the competitiveness of computer-aided design and computer-aided manufacturing industry.