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DCG
2010
71views more  DCG 2010»
13 years 7 months ago
A Characterization of the Angle Defect and the Euler Characteristic in Dimension 2
The angle defect, which is the standard way to measure the curvatures at the vertices of polyhedral surfaces, goes back at least as far as Descartes. Although the angle defect has ...
Ethan D. Bloch
CCDS
2010
122views more  CCDS 2010»
13 years 4 months ago
The problem of mutually unbiased bases in dimension 6
We outline a discretization approach to determine the maximal number of mutually unbiased bases in dimension 6. We describe the basic ideas and introduce the most important definit...
Philippe Jaming, Máté Matolcsi, P&ea...
FOCS
2008
IEEE
14 years 1 months ago
On the Union of Cylinders in Three Dimensions
We show that the combinatorial complexity of the union of n infinite cylinders in R3 , having arbitrary radii, is O(n2+ε ), for any ε > 0; the bound is almost tight in the w...
Esther Ezra
TIT
2008
73views more  TIT 2008»
13 years 7 months ago
L-CAMP: Extremely Local High-Performance Wavelet Representations in High Spatial Dimension
A new wavelet-based methodology for representing data on regular grids is introduced and studied. The main attraction of this new L-CAMP methodology is in the way it scales with th...
Youngmi Hur, Amos Ron
COMPGEOM
1994
ACM
13 years 11 months ago
Almost Tight Upper Bounds for the Single Cell and Zone Problems in Three Dimensions
We consider the problem of bounding the combinatorial complexity of a single cell in an arrangement of n low-degree algebraic surface patches in 3-space. We show that this complex...
Dan Halperin, Micha Sharir