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Abstract: We describe a method, based on vertex-labeling, to generate algorithms for manipulating the Hilbert spacefilling curve in the following ways: 1. Computing the image of a pointinR 1 . (Update)
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BibTeX entry: (Update)
@article{ iii01vertexlabeling,
author = "John J. {Bartholdi {III}} and Paul Goldsman",
title = "Vertex-labeling algorithms for the {Hilbert} spacefilling curve",
journal = "Soft\-ware\emdash Prac\-tice and Experience",
volume = "31",
number = "5",
pages = "395--408",
year = "2001",
url = "citeseer.ist.psu.edu/bartholdi00vertexlabeling.html" }
Citations (may not include all citations):119 Space-Filling Curves (context) - Sagan - 1994
118 Linear clustering of objects with multiple attributes (context) - Jagadish - 1990
110 Fundamentals of Spatial Information Systems (context) - Laurini, Thompson - 1992
43 Data Structures = Programs (context) - Wirth - 1976
19 Alternative algorithm for Hilbert's space-filling curve (context) - Butz - 1971
18 A comparative analysis of some two-dimensional orderings (context) - Abel, Mark - 1990
17 Heuristics based on spacefilling curves for combinatorial pr.. (context) - Bartholdi, Platzman - 1988
15 Optimizing raster storage: An examination of four alternativ.. (context) - Goodchild, Grandfield - 1983
15 the metric properties of discrete space-filling curves - Gotsman, Lindenbaum - 1994
15 Convergence with Hilbert's space filling curve (context) - Butz - 1969
15 the metric properties of discrete space-filling curves - Gotsman, Lindenbaum
13 An algorithm for displaying a class of space-filling curves (context) - Griffiths - 1986
6 Space-filling curves: their generation and their application.. (context) - Bially
5 the Computer as a Medium for Exploring Mathematics (context) - Abelson, diSessa - 1981
4 Geometric Searching with Spacefilling Curves (context) - Nulty - 1993
4 Continuous indexing of hierarchical subdivisions of the glob.. - Bartholdi, Goldsman - 1999
4 Short algorithms for space-filling curves (context) - Goldschlager - 1981
3 the generation and use of space-filling curves (context) - Witten, Wyvill - 1983
3 Sur une courbe qui remplit toute en aire plaine (context) - Peano
3 Robust spatial searching with spacefilling curves (context) - Nulty, Bartholdi
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2 A new ordering strategy applied to spatial data processing (context) - Liu, Schrack - 1998
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1 Euclidean Voronoi labeling on the multidimensional grid (context) - Gotsman, Lindenbaum - 1995
1 A new algorithm for generating Hilbert curves (context) - Fisher - 1986
1 Software---Practice and Experience (context) - Liu, Schrack et al. - 1996
1 Table-driven algorithms for generating space-filling curves (context) - Griffiths - 1985
1 An algorithm for encoding and decoding the 3-D Hilbert order (context) - Liu, Schrack - 1997
1 or Howtowaste time with a plotter (context) - curves - 1971
Documents on the same site (http://www.isye.gatech.edu/~jjb/mow/mow.html): More
A Continuous Spatial Index of a Triangulated Surface - John Bartholdi Iii (1999) (Correct)
Continuous Indexing of Hierarchical Subdivisions of the Globe - Bartholdi, III, Goldsman (2000) (Correct)
Continuous Indexing of Hierarchical Subdivisions of the Globe - John Bartholdi Iii (1999) (Correct)
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