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» The Path of a Triangulation
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STOC
2003
ACM
153views Algorithms» more  STOC 2003»
14 years 7 months ago
Sublinear geometric algorithms
We initiate an investigation of sublinear algorithms for geometric problems in two and three dimensions. We give optimal algorithms for intersection detection of convex polygons a...
Bernard Chazelle, Ding Liu, Avner Magen
FSTTCS
2000
Springer
13 years 11 months ago
Planar Graph Blocking for External Searching
We present a new scheme for storing a planar graph in external memory so that any online path can be traversed in an I-O efficient way. Our storage scheme significantly improves th...
Surender Baswana, Sandeep Sen
COCOON
1999
Springer
13 years 11 months ago
An External Memory Data Structure for Shortest Path Queries
We present results related to satisfying shortest path queries on a planar graph stored in external memory. Let N denote the number of vertices in the graph and let sort(N) denote...
David A. Hutchinson, Anil Maheshwari, Norbert Zeh
CORR
2007
Springer
132views Education» more  CORR 2007»
13 years 7 months ago
Nodally 3-connected planar graphs and convex combination mappings
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
Colm Ó'Dúnlaing
VISUALIZATION
1995
IEEE
13 years 11 months ago
Automatic Generation of Triangular Irregular Networks Using Greedy Cuts
We propose a new approach to the automatic generation of triangular irregular networks from dense terrain models. We have developed and implemented an algorithm based on the greed...
Cláudio T. Silva, Joseph S. B. Mitchell, Ar...