Research Initiation: Automatic Conversion of Wireframe Geometric Models to a Boundary Representation

该项目的目标是开发新的和 用于将线框几何模型转换为 一种实体边界表示法。 完整的，明确的 三维体积的几何描述， 实体表示可用于对机械部件建模， 任何固体物体。 实体建模保证了 机械零件和组件的计算机原型设计; 然而，它还没有达到广泛的商业， 应用程序一旦出现。 这部分是由于 复杂的几何模型通常需要繁琐的交互 和集会。 线框到实体的转换解决了这个问题 问题是，线框创建与 传统的起草方法，并提供了一个相对 熟悉和自然的用户界面。 它还提供 改造现有大型 将工业线框数据库转换为更强大实体模型 格式. 基于拓扑的分而治之策略将是 研究开发一种新的算法， 面拓扑从线框模型，并减轻目前 对不含孔的流形对象的限制（亏格 零对象）。 将制定标准， 表面细化，即提取几何信息 （曲面方程）与对象的每个面关联， 完成实体模型。

The objective of this project is the development of new and improved algorithms for converting wireframe geometric models to a solid boundary representation. The complete, unambiguous geometric description of three-dimensional volumes provided by the solid representation can be used to model mechanical parts or any solid object. Solid modeling holds the promise of complete computer based prototyping of mechanical parts and assemblies; however, it has not yet attained the widespread commercial application once envisioned. This is due in part to the cumbersome interaction often required to model complex geometries and assemblies. The wireframe to solid conversion addresses this problem as wireframe creation bears a strong resemblance to traditional drafting methodologies and provides a relatively familiar and natural user interface. It also supplies the mechanism for transforming a large existing industrial wireframe database into a more robust solid model format. A topologically based divide and conquer strategy will be investigated to develop a new algorithm for extracting accurate face topology from wireframe models and alleviate the current restriction to manifold objects which contain no holes (genus zero objects). Criteria will be established for automatic surfacing detailing, i.e. extracting the geometric information (surface equation) associated with each face of an object in order to complete the solid model.