SGER: Physics-Based Similarity Detection Algorithms of CAD Models

这项探索性研究小额拨款为探索CAD模型基于物理的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且重要的一部分，因此自然需要保护该数据模型的所有权。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，这也可能涉及重大的财务问题。我们提出的新方法与光谱学非常相似，光谱学采用一种非常间接的方法，通过观察分子自然振动的音调（即其固有频率或光谱指纹）来确定恒星体的组成。如果证明有可能定义、制定和识别CAD模型（在结构动力学的背景下）的这种光谱指纹以将其与其他CAD模型区分开来，那么对工程设计界的影响将是重大的。在振动模型中嵌入CAD模型几何是整个正式程序，这将是拟议研究的目标。在我们的SGER努力中，我们计划把重点放在平面和自由曲面模型上，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模型数据库在机械工程、生物信息学、医学成像和计算机视觉等多个学科中具有高效和形状内禀搜索的另一个应用领域。我们的应用程序对计算机图形学社区有进一步的兴趣，并且可以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，CAD模型的类似google的数据库搜索引擎，军事或国土安全目的的注册和对象识别，以及天气预报中变形形状的识别。

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.