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» Lower bounds for expected-case planar point location
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DCC
2005
IEEE
14 years 7 months ago
A Point-Set Compression Heuristic for Fiber-Based Certificates of Authenticity
A certificate of authenticity (COA) is an inexpensive physical object that has a random unique structure with high cost of near-exact reproduction. An additional requirement is th...
Darko Kirovski
WADS
2005
Springer
111views Algorithms» more  WADS 2005»
14 years 1 months ago
On Geometric Dilation and Halving Chords
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar ...
CCCG
2010
13 years 9 months ago
On the variance of random polygons
A random polygon is the convex hull of uniformly distributed random points in a convex body K R2 . General upper bounds are established for the variance of the area of a random p...
William L. Steiger, Imre Bárány
COMPGEOM
1994
ACM
13 years 12 months ago
Computing Envelopes in Four Dimensions with Applications
Let F be a collection of n d-variate, possibly partially defined, functions, all algebraic of some constant maximum degree. We present a randomized algorithm that computes the vert...
Pankaj K. Agarwal, Boris Aronov, Micha Sharir
COMPGEOM
1995
ACM
13 years 11 months ago
Triangulations Intersect Nicely
Abstract. We show that there is a matching between the edges of any two triangulations of a planar point set such that an edge of one triangulation is matched either to the identic...
Oswin Aichholzer, Franz Aurenhammer, Michael Tasch...