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» The three dimensions of proofs
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IMR
2003
Springer
14 years 4 months ago
Compact Representations of Simplicial Meshes in Two and Three Dimensions
We describe data structures for representing simplicial meshes compactly while supporting online queries and updates efficiently. Our data structure requires about a factor of fi...
Daniel K. Blandford, Guy E. Blelloch, David E. Car...
FOCS
2009
IEEE
14 years 5 months ago
Orthogonal Range Reporting in Three and Higher Dimensions
In orthogonal range reporting we are to preprocess N points in d-dimensional space so that the points inside a d-dimensional axis-aligned query box can be reported efficiently. T...
Peyman Afshani, Lars Arge, Kasper Dalgaard Larsen
GD
2005
Springer
14 years 4 months ago
Drawing Kn in Three Dimensions with One Bend Per Edge
We give a drawing of Kn in three dimensions in which vertices are placed at integer grid points and edges are drawn crossing-free with at most one bend per edge in a volume bounde...
Olivier Devillers, Hazel Everett, Sylvain Lazard, ...
GD
2005
Springer
14 years 4 months ago
MultiPlane: A New Framework for Drawing Graphs in Three Dimensions
This paper presents a new framework for drawing graphs in three dimensions. In general, the new framework uses a divide and conquer approach. More specifically, the framework divi...
Seok-Hee Hong
AMC
1999
102views more  AMC 1999»
13 years 10 months ago
Analysis and approximation of optimal control problems for first-order elliptic systems in three dimensions
We examine analytical and numerical aspects of optimal control problems for firstorder elliptic systems in three dimensions. The particular setting we use is that of divcurl syste...
Max Gunzburger, Hyung-Chun Lee