SGER-Wavelet SDF Solid Modeling

这一小额探索性研究奖的研究目标是对实体建模的新配方进行初步的探索性开发，以支持通过计算机断层扫描(CT)或磁共振(MR)等体积扫描技术获得模型的零件的计算机辅助设计。三维扫描技术已经变得无处不在，但在计算机辅助设计(CAD)过程中包含扫描对象并没有成为标准实践，这主要是因为CAD中使用的基于表面的模型表示与扫描数据的原生点数据表示完全不同。这项研究将探索一种新的建模公式，包括基于小波的对扫描数据水平集分割产生的符号距离函数值的逼近。拟议研究的成功完成将构成设计工具的基础，这些工具将有利于产品设计，产品设计基于最初收集的体积扫描数据。具体地说，这种新的计算机辅助设计环境将极大地增强设计、测试和制造根据解剖扫描为特定患者或特定人群定制的设备的能力。潜在的其他影响领域包括促进对竣工零件模型的检查，以提高质量，并应用于采用多能量扫描的安全系统，如机场行李安检。这项研究的结果还将通过将这些方法整合到计算机辅助工程和高级建模/制造的系级课程中而产生重大的教育影响。

The research objective of this Small Grant for Exploratory Research award is to perform initial, exploratory development of a new formulation of solid modeling to support computer-aided design with parts whose models are obtained via volumetric scanning technology such as computed tomography (CT) or magnetic resonance (MR). Three dimensional scanning technologies have become ubiquitous, but inclusion of scanned objects in the computer-aided design (CAD) process has not become standard practice largely because the surface-based model representations which are used in CAD are totally distinct from the native point data representation of scan data. The research will explore a new modeling formulation consisting of a wavelet-based approximation to the signed distance function values which result from level set segmentation of the scan data. Successful completion of the proposed research will form the basis for design tools that will benefit product design which is based on initially gathered volumetric scan data. Specifically, this new computer-aided design environment will greatly enhance the ability to design, test, and manufacture devices that are custom fit to specific patients or to a specific segment of the population based on scans of anatomy. Potential additional areas of impact include facilitating inspection of as-built part models for quality improvement and application to security systems employing multi-energy scans such as airport baggage screening. The results of this research will also have a significant educational impact through integration of these methods into departmental class offerings in computer-aided engineering and advanced modeling/manufacturing.