Mathematical Sciences: Non-Linear Aspects of the Geometry of Convex Sets

[504249] Goodey提出的研究属于几何凸性理论领域。特别地，提出了利用Radon变换技术研究中心对称凸体的投影函数。投影函数是立体学和层析成像中重要的对象。特别是，它们被用于x射线问题中，研究人员试图找到有效的算法来从x射线图像中重建凸体。

9504249 Goodey The proposed research lies in the area of geometric convexity theory. In particular, the proposer wants to study projection functions for centrally symmetric convex bodies using the Radon transform techniques. The projection functions are objects of importance in stereology and tomography. In particular, they are used in the X-ray problem where the researchers seek to find efficient algorithms to reconstruct convex bodies from their X-ray images.