On the metric properties of discrete space-filling curves

@article{Gotsman1994OnTM,
  title={On the metric properties of discrete space-filling curves},
  author={Craig Gotsman and Michael Lindenbaum},
  journal={Proceedings of the 12th IAPR International Conference on Pattern Recognition, Vol. 2 - Conference B: Computer Vision \& Image Processing. (Cat. No.94CH3440-5)},
  year={1994},
  pages={98-102 vol.3}
}
  • C. GotsmanM. Lindenbaum
  • Published 9 October 1994
  • Computer Science
  • Proceedings of the 12th IAPR International Conference on Pattern Recognition, Vol. 2 - Conference B: Computer Vision & Image Processing. (Cat. No.94CH3440-5)
Discrete space-filling curves are commonly used to reduce a multidimensional problem to a one-dimensional problem, and, as such, are exploited in a variety of image processing applications. The space-filling curve is essentially a linear traversal of the discrete multidimensional space. In order that this traversal be effective, the curve should preserve "locality", namely, that points close in the original multidimensional space be close in their ordering along the curve, and vice versa. We… 
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