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COMPGEOM
2001
ACM
15 years 1 months ago
Hierarchical morse complexes for piecewise linear 2-manifolds
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...
Herbert Edelsbrunner, John Harer, Afra Zomorodian
JCDCG
2000
Springer
15 years 1 months ago
Universal Measuring Devices without Gradations
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...
JCDCG
2000
Springer
15 years 1 months ago
Structure Theorems for Systems of Segments
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...
János Pach, József Solymosi
JCDCG
2000
Springer
15 years 1 months ago
Volume Queries in Polyhedra
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...
John Iacono, Stefan Langerman
COMPGEOM
1995
ACM
15 years 1 months ago
On Conway's Thrackle Conjecture
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...
László Lovász, János P...