Given a Morse function over a 2-manifold with or without boundary, the Reeb graph is obtained by contracting the connected components of the level sets to points. We prove tight u...
Kree Cole-McLaughlin, Herbert Edelsbrunner, John H...
A panoramic image based localisation system has been implemented on a B21r mobile robot and tested in a heavily cluttered environment. It takes vertical object edges as natural la...
We show that each quadrangulation on n vertices has a closed rectangle of influence drawing on the (n − 2) × (n − 2) grid. Further, we present a simple algorithm to obtain a...
A new algorithmic approach to comparing 2D patterns of protein spots obtained by the 2D gel electrophoresis technique is presented. Both the matching of a local pattern vs. a full...
Abstract. This paper presents a new hybrid split-and-merge image segmentation method based on computational geometry and topology using persistent homology. The algorithm uses edge...