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COMPGEOM
2003
ACM
15 years 12 months ago
Morse-smale complexes for piecewise linear 3-manifolds
We define the Morse-Smale complex of a Morse function over a 3-manifold as the overlay of the descending and ascending manifolds of all critical points. In the generic case, its ...
Herbert Edelsbrunner, John Harer, Vijay Natarajan,...
COMPGEOM
2010
ACM
15 years 11 months ago
Better bounds on the union complexity of locally fat objects
We prove that the union complexity of a set of n constantcomplexity locally fat objects (which can be curved and/or non-convex) in the plane is O(λt+2(n) log n), where t is the m...
Mark de Berg
DGCI
2000
Springer
15 years 11 months ago
A New Means for Investigating 3-Manifolds
The paper presents a new method of investigating topological properties of three-dimensional manifolds by means of computers. Manifolds are represented as finite cell complexes. Th...
Vladimir Kovalevsky
COMPGEOM
1996
ACM
15 years 10 months ago
Smallest Enclosing Cylinders
This paper addresses the complexity of computing the smallest-radius infinite cylinder that encloses an input set of n points in 3-space. We show that the problem can be solved in...
Elmar Schömer, Jürgen Sellen, Marek Teic...
COMPGEOM
2001
ACM
15 years 10 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