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» On a Geometric Generalization of the Upper Bound Theorem
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PAMI
2007
336views more  PAMI 2007»
14 years 9 months ago
Topological Equivalence between a 3D Object and the Reconstruction of Its Digital Image
— Digitization is not as easy as it looks. If one digitizes a 3D object even with a dense sampling grid, the reconstructed digital object may have topological distortions and in ...
Peer Stelldinger, Longin Jan Latecki, Marcelo Siqu...
COMPGEOM
2010
ACM
15 years 2 months ago
On degrees in random triangulations of point sets
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
Micha Sharir, Adam Sheffer, Emo Welzl
CORR
2006
Springer
145views Education» more  CORR 2006»
14 years 9 months ago
Product Multicommodity Flow in Wireless Networks
We provide a tight approximate characterization of the n-dimensional product multicommodity flow (PMF) region for a wireless network of n nodes. Separate characterizations in term...
Ritesh Madan, Devavrat Shah, Olivier Lév&ec...
COMPGEOM
2006
ACM
15 years 3 months ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...
COMPGEOM
2010
ACM
15 years 2 months ago
Incidences in three dimensions and distinct distances in the plane
d Abstract] György Elekes Eötvös University Micha Sharir Tel Aviv University and New York University We first describe a reduction from the problem of lower-bounding the numbe...
György Elekes, Micha Sharir