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

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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.