Mathematical Sciences: Curve and Surface Reconstruction fromUnorganized Data

科学家和工程师经常会遇到以下形式的数据： 表面上或附近的相对密集的点的集合 感兴趣的对象;一个目标是重建 物体的表面。 例子来自医学成像， 机器视觉，工业工程，统计分析 高维度和几何建模。 这项研究将 当拓扑结构 表面的几何形状也不是先验已知的;两者都必须是 以自动化的方式从数据点推断。

Scientists and engineers often encounter data in the form of a relatively dense collection of points on or near the surface of the object of interest; and one objective is to reconstruct the surface of the object. Examples come from medical imaging, machine vision, industrial engineering, statistical analysis for high-dimensions, and geometric modelling. This research will develop algorithms for such problems when neither the topology nor the geometry of the surface are known a priori; both must be inferred in automated fashion from the data points.