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Encyclopedia: Space-filling curve Source:Wikipedia
Space-filling curves
or
Peano curves
are
curves
, first described by
Giuseppe Peano
(1858 – 1932), whose ranges contain the entire 2-dimensional
unit square
(or the 3-dimensional unit cube). Intuitively, a "continuous curve" in the 2-dimensional plane or in the 3-dimensional
...
More »
|
Space-filling curves or Peano curves are curves, first described by Giuseppe Peano (1858–1932), whose ranges contain the entire 2-dimensional unit square (or the 3-dimensional unit cube).
en.wikipedia.org/wiki/Space-filling_curve
en.wikipedia.org/wiki/Space-filling_curve
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Space-filling Curve |
The construction shown above is due to David Hilbert (1862-1943). This space-filling curve which completely fills up the unit square is the limit of a sequence of curves defined iteratively.
www.math.ohio-state.edu/~fiedorow/math655/Peano.html
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Space-Filling Curves |
An N-dimensional space-filling curve is a continuous, surjective (onto) function from the unit interval [0 ... A space-filling curve is typically defined as the limit of a sequence of curves.
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Hilbert Space Filling Curve Abstract Geometric Art |
Exploration of Related Points on a Space Filling Curve by Don Relyea was created in a custom application written in Director and C++. ... This older space filling curve art generator (opens in a new page, ...
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Good Math, Bad Math : Fractal Pathology: Peano's Space Filling Curve |
One of the strangest things in fractals, at least to me, is the idea of space filling curves. A space filling curve is a curve constructed using a Koch-like replacement method, but instead of being ...
scienceblogs.com/goodmath/2007/07/fractal_pathology_pea...
scienceblogs.com/goodmath/2007/07/fractal_pathology_peanos_space.php
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IEEE Xplore# Wrapper Result |
1. Analysis of the clustering properties of the Hilbert space-filling curve Moon, B.; ... It is widely believed that the Hilbert space-filling curve achieves the best clustering (Abel and Mark, 1990;
dx.doi.org/10.1109/69.908985
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This site uses Flash
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Plane Filling Curves |
Plane Filling Curves, definition, animation, discussion, Java ... The first such curve was discovered by Guiseppe Peano in 1890. The applet demonstrates two constructions: one by D.Hilbert (1862-1943), ...
www.cut-the-knot.org/do_you_know/hilbert.shtml
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The Hilbert Space Filling Curve |
The Hilbert space filling curve is a one dimensional curve which visits every point within a two dimensional space.
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On the Quality of Space-Filling Curve Induced Partitions ... |
On the Quality of Space-Filling Curve Induced Partitions (2000) (Make Corrections) Gerhard Zumbusch Home/Search Context Related
citeseer.ist.psu.edu/zumbusch00quality.html