Investigations on Material Modeling

9727782 Dutta现有CAD系统失败的关键CAD表示问题是，除了所描述的组件的外部几何形状外，还需要捕获内部异质性/密度/渐变信息。该项目整合了目前在实体建模中使用的传统r集概念、微分几何中的纤维基底以及连续介质力学的方法来解决这个问题。这些发展直接影响到“分层制造”方法，并对医学成像和卫星图像处理过程产生重大影响。＊＊＊

9727782 Dutta The critical CAD representation issue where existing CAD systems fail is that it is necessary to capture the interior heterogeneity/density/gradation information in addition to the outer geometry of the component being described. The project integrates concepts from conventional r-sets used currently in solid modeling, fiber fundles from differential geometry, and approaches from continuum mechanics to address this problem. The developments directly influence the `layered-manufacturing' approaches and have a significant impact on medical imaging and satellite image processing processes. ***