RUI: Geometric Techniques for Quadrilateral and Hexahedral Mesh Generation with Applications in Medical Imaging

新不伦瑞克大学Suneeta RamaswamiRugers U这个项目的广泛目标是为特定应用领域的数据建模和可视化完成健壮的算法开发，即医学成像。该提案的重点是为人体组织结构研究(MR和CT)获得的医学数据生成四边形和六面体网格，但生成良好的四边形和六面体(四面体/六面体)网格还没有被很好地理解，一些重要的问题仍然悬而未决。通过利用这些问题的核心几何，我们的目标是开发算法来生成由四边形和六面体单元组成的有保证质量的曲面和体网格。为此，将利用计算几何中的算法技术和数据结构。我们还研究了自适应二进制/十六进制网格，即根据输入域的局部部分中的期望细节级别等因素而设计的具有不同细化级别的网格。这些算法将针对医学成像数据进行设计和测试。改进的表面和体积网格算法将直接影响医疗数据的自动化临床分析，这通常是通过需要对离散解剖模型进行有限元模拟的过程来执行的。这种方法的一些例子是弹性匹配和粘性流体。我们的工作将与宾夕法尼亚大学放射学系脑图像分析领域的研究人员合作完成。

ABSTRACT0204293Suneeta RamaswamiRugers U New BrunswickThe broad goal of this project is the complete development of robust algorithms for the modelingand visualization of data in a specific application domain, namely medical imaging. The focus ofthe proposal is on the generation of quadrilateral and hexahedral meshes for medical data obtainedfrom structural studies (MR and CT) of human organs.The generation of good quadrilateral and hexahedral (quad/hex) meshes is not well-understoodand several important questions remain open. By exploiting the geometry that is central to theseproblems, we aim to develop algorithms for generating guaranteed-quality surface and volumemeshes composed of quadrilateral and hexahedral elements. Algorithmic techniques and data struc-tures from computational geometry will be utilized towards this end. We also investigate adaptivequad/hex meshes, i.e., meshes designed to have varying levels of refinement depending on factorssuch as the desired level of detail in a localized part of the input domain. The algorithms will bedesigned for and tested on medical imaging data. Improved surface and volume meshing algorithmswill directly impact automated clinical analysis of medical data, which is typically carried out byprocedures that require finite element simulations on discrete anatomical models. Some examplesof such procedures are elastic matching and viscous uid ow. Our work will be done in collabo-ration with researchers in the area of brain image analysis in the Department of Radiology at theUniversity ofPennsylvania.