Space filling curves and mathematical programming
نویسندگان
چکیده
منابع مشابه
Unconventional Space-filling Curves
A 2-dimensional space-filling curve, here, is a surjective continuous map from an interval to a 2-dimensional space. To construct a new space-filling curve distinct and much different from Hilbert’s, Peano’s, and the Z-order, we first observe that all three of these curves are based on self-similar fractals–in particular, the recursive definition of the sequences of functions that converge to t...
متن کاملSpace filling curves in steganalysis
We introduce a new method to increase the reliability of current steganalytic techniques by optimising the sample order. Space filling curves (e. g., Hilbert curve) take advantage of the correlation of adjacent pixels and thus make the detection of steganographic messages with low change densities more reliable. The findings are applicable, but not limited to LSB steganalysis. An experimental c...
متن کاملContext-based Space Filling Curves
A context-based scanning technique for images is presented. An image is scanned along a context-based space filling curve that is computed so as to exploit inherent coherence in the image. The resulting one-dimensional representation of the image has improved autocorrelation compared with universal scans such as the PeanoHilbert space filling curve. An efficient algorithm for computing context-...
متن کاملHarmonious Hilbert curves and other extradimensional space-filling curves
This paper introduces a new way of generalizing Hilbert’s two-dimensional space-filling curve to arbitrary dimensions. The new curves, called harmonious Hilbert curves, have the unique property that for any d′ < d, the d-dimensional curve is compatible with the d′-dimensional curve with respect to the order in which the curves visit the points of any d′-dimensional axis-parallel space that cont...
متن کاملDrawing Space-filling Curves in Logo
Several space-filling and related curves are described by means of ”simultaneous grammars”. From these descriptions it is very easy to obtain short procedures in logo for drawing the curves.
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ژورنال
عنوان ژورنال: Information and Control
سال: 1968
ISSN: 0019-9958
DOI: 10.1016/s0019-9958(68)90367-7