We present algorithms for constructing a hierarchy of increasingly coarse Morse complexes that decompose a piecewise linear 2-manifold. While Morse complexes are defined only in t...
Measuring cups are everyday instruments used to measure a required amount of liquid for many common tasks such as cooking, . . . etc. A measuring cup usually has gradations marked ...
Jin Akiyama, Hiroshi Fukuda, Gisaku Nakamura, Tosh...
We study intersection properties of systems of segments in the plane. In particular, we show that there exists a constant c > 0 such that every system S of n straight-line segme...
We present a simple and practical data structure for storing a (not necessarily convex) polyhedron P which can, given a query surface S cutting the polyhedron, determine the volume...
A thrackle is a graph drawn in the plane so that its edges are represented by Jordan arcs and any two distinct arcs either meet at exactly one common vertex or cross at exactly on...