3 papers
cs.CG2026
Flip Graphs for Eight Points in Three Dimensions Are Connected
Marc Khoury
We prove that every configuration of four through eight points in three-dimensional space, with no four points coplanar, has a connected full geometric flip graph under $2 \leftrig…
cs.CV2017
Learning Compact Geometric Features
Marc Khoury, Qian-Yi Zhou, Vladlen Koltun
We present an approach to learning features that represent the local geometry around a point in an unstructured point cloud. Such features play a central role in geometric registra…
cs.CG2017
Supporting Ruled Polygons
Nicholas J. Cavanna, Marc Khoury, Donald R. Sheehy
We explore several problems related to ruled polygons. Given a ruling of a polygon , we consider the Reeb graph of induced by the ruling. We define the Reeb complexity of $P…