SBIR Phase II: Creating Functionally Decomposed Surface Models from Measured Data

这个小型企业创新研究第二阶段项目处理的是从测量数据重建复杂的自由形状的问题。雨滴魔术的主要兴趣是制作结构良好、高质量的CAD模型。有几种技术可以实现这一目标；不幸的是，自动堆焊系统只能提供粗略的近似，并不能捕捉到最初的设计意图，而手动分割方法不是非常稳定，需要繁琐的工作。使用功能分解，对象被构建为由较小的从属特征曲面连接的大型独立主曲面的集合，例如圆角或扫掠曲面。在第一阶段，详细介绍了半自动方法以创建良好的分段曲线网。研究小组利用不同特征类型的特定属性，提出了计算每种特征类型的最佳表面表示的算法。在第二阶段，团队设想将他们的理论结果转化为稳健和高效的计算算法，并将其扩展。提出了五个子系统：曲面指示器、约束拟合、曲线跟踪、光顺和特征拟合。开发了用于创建不同几何实体的新核心技术，这些几何实体最终被集成以获得高质量的曲面模型。这项技术将显著缩短相关工业设计和制造过程的交货期，并生产美学产品，对整个社会产生积极影响。提供的技术在两个关键市场领域具有更广泛的影响：逆向工程和先进表面处理。在研究方面，拟议的项目加深了对使用扫描数据进行计算机辅助几何建模的理解，这一领域尚未得到大型CAD公司的太多关注，但却是一个活跃的研究领域。它结合了离散数学和连续数学的知识，并利用了这两种方法的优势。在技术方面，它引入了一种新的范例，将显著改进当前的反向工程商业系统，使其具有更好的工程特性，并通过更简单的操作实现先进的表面处理。主要应用将是产品设计，包括汽车、航空航天、消费品和医疗器械。改进后的产品将帮助美国制造业在世界市场上更具竞争力，提供一种引入按需设计和按需工程服务的方式。拟议中的项目将帮助美国公司增加以客户为中心的生产，并减少产品迭代之间的时间。

This Small Business Innovation Research Phase II project deals with the problems of reconstructing complex free-form shapes from measured data. Raindrop Magic's primary interest is to produce well-structured, high-quality CAD models. Several techniques exist to reach this goal; unfortunately, automatic surfacing systems provide only rough approximations and do not capture the original design intent, while manual segmentation methods are not very stable and require tedious work. Using functional decomposition, objects are built up as a collection of large, independent primary surfaces being connected by smaller, dependent feature surfaces, such as fillets or swept surfaces. In Phase I, semi-automatic methods were elaborated to create good segmenting curve nets. Exploiting the specific properties of different feature types, the research team proposed algorithms to compute optimal surface representations for each. In Phase II, the team envisions transforming and extending their theoretical results into robust and efficient computational algorithms. Five subsystems are proposed: Surface-Indicators, Constrained-Fitting, Curve-Tracing, Fairing, and Feature-Fitting. New core technologies are developed for creating different geometric entities, which are eventually integrated to obtain high-quality surface models. This technology should significantly shorten lead-time in related industrial design and manufacturing processes and produce aesthetic objects, having a positive impact on the whole society.The proffered technology has broader impacts in two key market sectors: reverse engineering and advanced surfacing. At the research front, the proposed project deepens the understanding of computer-aided geometric modeling working with scan data, a field that has not received much attention from the large CAD companies, but is an active area of research. It combines the knowledge of both discrete and continuous mathematics and takes advantage of the strength of both approaches. On the technology front, it introduces a new paradigm that will significantly improve the current commercial systems of reverse engineering with better engineering features and advanced surfacing through simpler operations. The main applications will be product design, including automotive, aerospace, consumer products, and medical devices. The improved product will help the US manufacturing industry to be more competitive in the world market, providing a way to introduce design on demand and engineering on demand services. The proposed project will help US companies to increase customer-focused production and reduce the time between product iterations.