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Space-filling curves

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Abstract

In this article some Peano curves are exhibited and some of their recent applications are discussed. A C++ program to draw the Hubert curve approximately is given.

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Suggested Reading

  1. E W Hobson,Theory of Functions of a Real Variable, Vol. 1, pp. 451–458, Dover, New York, 1957.

    Google Scholar 

  2. T M Apostol,Mathematical Analysis, Addison Wesley Publishing Company, Reading, Massachusetts, pp. 396–398, 1969.

    Google Scholar 

  3. J Alsina, The Peano curve of Schoenberg is nowhere differentiable,ℱ.Approx. Theory, Vol. 33, pp. 28–42, 1981.

    Article  Google Scholar 

  4. M F Barnsley,Fractals everywhere, Academic Press, Second Edition, 1993.

  5. B B Mandelbrot,Fractals: Form, Chance and Dimension, W H Freeman and Co., San Francisco, 1977.

    Google Scholar 

  6. L Velho and J Gomes de Miranda, Digital halftoning with space-filling curves,Computer Graphics, Vol. 25, pp. 81–90, 1991.

    Article  Google Scholar 

  7. H-O Peitgen, H Jurgens and D Saupe,Chaos and fractals, New frontiers of Science, Springer-Verlag, p. 102, 1992.

  8. A Null, Space-filling curves or how to waste time with a plotter,Software Practice and Experience, Vol. 1, pp. 403–410, 1971.

    Article  Google Scholar 

  9. N Wirth,Algorithms + Data Structures =Programs, Prentice-Hall, Eaglewood Cliffs, New Jersey, 1970.

    Google Scholar 

  10. L M Goldschlager, Short algorithms for space-filling curves,Software Practice and Experience, Vol. 11, pp. 99–100, 1981.

    Article  Google Scholar 

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Authors and Affiliations

  1. University of Roorkee, 247 667, Roorkee, India

    R. C. Mittal

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  1. R. C. Mittal
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Correspondence to R. C. Mittal.

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Mittal, R.C. Space-filling curves. Reson 5, 26–33 (2000). https://doi.org/10.1007/BF02840392

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  • DOI: https://doi.org/10.1007/BF02840392

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