The flow complex is a geometric structure, similar to the Delaunay tessellation, to organize a set of (weighted) points in Rk. Flow shapes are topological spaces corresponding to ...
Kevin Buchin, Tamal K. Dey, Joachim Giesen, Matthi...
The Delaunay triangulation and its dual the Voronoi diagram are ubiquitous geometric complexes. From a topological standpoint, the connection has recently been made between these ...
High reynolds number ow simulations exhibit strong gradients normal to walls and across shear layers requiring much ner resolution of the solution in some directions compared to o...
The medial axis of a shape is known to carry a lot of information about it. In particular a recent result of Lieutier establishes that every bounded open subset of Rn has the same...
Active contour and active polygon models have been used widely for image segmentation. In some applications, the topology of the object(s) to be detected from an image is known a ...