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COMPGEOM
2005
ACM
13 years 8 months ago
2005
ACM
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
COMPGEOM
2005
ACM
13 years 8 months ago
2005
ACM
Using inclusion-exclusion, we can write the indicator function of a union of finitely many balls as an alternating sum of indicator functions of common intersections of balls. We...
COMPGEOM
2005
ACM
13 years 8 months ago
2005
ACM
In this paper, we bound the difference between the total mean curvatures of two closed surfaces in R3 in terms of their total absolute curvatures and the Fr´echet distance betwee...
COMPGEOM
2005
ACM
13 years 8 months ago
2005
ACM
We illustrate the Link Solver software for computing 1-link shortest paths in weighted regions. The Link Solver implements a prune-and-search method that can be used to approximat...
COMPGEOM
2005
ACM
13 years 8 months ago
2005
ACM
Order Type Extension and New Results ectilinear Crossing Number - Extended Abstract Oswin Aichholzer∗ Hannes Krasser† We provide a complete data base of all realizable order t...