SGER: Physics-Based Similarity Detection Algorithms of CAD Models

这笔探索性研究的小额拨款为探索基于物理的CAD模型相似性检测算法的可行性提供了资金。CAD模型是整个生产过程中昂贵而重要的部分，因此自然需要保护该数据模型的所有权。另一个同样重要但密切相关的问题是CAD模型数据库的有效索引，这也可能产生重大的财务影响。我们提出的新方法非常类似于光谱学，它使用一种非常间接的方法，通过观察分子自然振动的节距(即其自然频率或光谱指纹)来确定星体的组成。如果证明有可能定义、制定和识别CAD模型的这种光谱指纹(在结构动力学的上下文中)，以将其与其他CAD模型区分开来，这将对工程设计界产生重大影响。将CAD模型几何嵌入到振动模型中是整个形式化过程，这将是拟议研究的目标。在我们的SGER工作中，我们计划将重点放在平面和自由曲面模型作为我们的初步工作。该项目的成功发展将对我们的现代信息社会产生广泛的影响。其中一个很有前途的领域是CAD模型的版权保护。CAD模型数据库的高效和形状本征搜索的另一个应用领域在机械工程、生物信息学、医学成像和计算机视觉等不同学科中都很有用。我们的应用程序进一步引起了计算机图形界的兴趣，并可能对整个社会产生更广泛的影响，例如制造业中的自动检查、产品生命周期管理、类似谷歌的CAD模型数据库搜索引擎、用于军事或国土安全目的的注册和对象识别，以及天气预报中的变形形状识别。

This Small Grant for Exploratory Research provides funding to explore the feasibility of physics-based similarity detection algorithms for CAD models. A CAD model is an expensive and important part of the whole production process and there exists a natural need to protect the ownership of this data model. An equally important but closely related issue is the efficient indexing of CAD models databases, which could have significant financial implications as well. The novel approach we propose is very similar to spectroscopy, which employs an extraordinarily indirect means by observing the pitches at which a molecule naturally vibrates (i.e. its natural frequencies or spectral fingerprints) to determine the composition of stellar bodies. If it proves possible to define, formulate, and identify such spectral fingerprints of a CAD model (in the context of Structural Dynamics) to distinguish it from other CAD models, the impact would be significant to the engineering design community. The embedding of the CAD model geometry within a vibratory model is the overall formal procedure that would be goal of the proposed study. In our SGER endeavor, we plan to focus on the planar and free-form surface models as our preliminary work.Successful development of this project will have broad impact on our modern information society. One such promising area is copyright protection of CAD models. Another application field of efficient and shape intrinsic search of CAD model databases is useful in diverse disciplines such as mechanical engineering, bio-informatics, medical imaging, and computer vision. Our applications are of further interest to the computer graphics community and can have broader effects to society at large such as automated inspection in manufacturing, product life cycle management, Google-like database search engine for CAD models, registration and object recognition for military or homeland security purposes, and recognition of morphing shapes in weather prediction.