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Halftoning without dither or edge enhancement

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Abstract

A method of halftoning rectangular images based on the use of mixed murray polygons is described. This method does not distort the original data by statistical error modification, such as dither or dot diffusion, and thus does not inherently require edge-enhancement methods to restore picture quality. The production of data for high-resolution printers is included as part of the method by introducing for each intensity value an extra low level of tiling, whose patterns are determined by the intensity value itself along with the previous value of the cumulated sum and the orientation of the low-level tile.

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References

  • Bayer BE (1973) An optimum method for two level rendition of continuous-tone pictures. Proc IEEE Int Conf Communications, Conference Record 26:11–15

    Google Scholar 

  • Cole AJ (1966) Cyclic progressive number systems. Math Gazette 50:122–131

    Google Scholar 

  • Cole AJ (1985) A note on Peano polygons and Gray codes. Int J Comput Math 18:3–13

    Google Scholar 

  • Cole AJ (1986) Multiple radix arithmetic and computer graphics. Bull Inst Math Appl 22(5/6):71–75

    Google Scholar 

  • Cole AJ (1988) Murray polygons as a tool in raster scan graphics. Proceedings of ICONCG. Nanyang Technical Institute Singapore, pp 195–207

  • Cole AJ, Buntin IM (1988) Some ideas about low speed transmission of moving pictures. Comput Graph 88:33–50

    Google Scholar 

  • Cole AJ, Morrison (1982) An introduction to programming inS-algol. Cambridge University Press, Cambridge New York Melbourne

    Google Scholar 

  • Floyd RW, Steinberg L (1975) An adaptive algorithm for spatial grey scale. SID '75 Digest, Society for Information Display, pp 36–37

  • Goertzel G, Gerhard RT (1987) Digital halftoning on the IBM 4250 printer, IBM J Res Dev, pp 31:1

  • Hilbert D (1891) Über stetige Abbildung einer Linie auf ein Flächenstück. Math Ann 38:459–460

    Google Scholar 

  • Jarvis JF, Roberts CS (1976) A new technique for displaying continuous tone images on a bilevel display. IEEE Trans Commun 24:891–898

    Google Scholar 

  • Jarvis JF, Judice CN, Ninke WH (1976) A survey of techniques for the display of continuous-tone pictures on bilevel displays. Comput Graph Image Proc 5:13–40

    Google Scholar 

  • Kennedy HC (1980) Peano. The life and works of Giuseppe Peano. D Reidel, Dordrecht, Holland

    Google Scholar 

  • Knuth DE (1987) Digital halftones by dot diffusion. ACM Trans Graph 6:245–273

    Google Scholar 

  • Limb JO (1969) Design of dither waveforms for quantitized visual signals. Bell Sys Tech J Sept, pp 2555–2582

  • Lippel B, Kurland M (1971) The effect of dither on luminance quantization of pictures. IEEE Trans Commun 19:879–888

    Google Scholar 

  • Lippel B (1976) Two and three-dimensional ordered dither in bilevel picture displays. Proc SID 17:115–121

    Google Scholar 

  • Moore EH (1900) On certain crinkly curves. Trans Am Math Soc 1:72–90

    Google Scholar 

  • Peano G (1890) Sur une courbe qui remplit toute une aire plaine. Math Ann 36:157–160

    Google Scholar 

  • Peano G (1908) Formulario mathematico, vol 5. Torino

  • Ulichney R (1976) Digital halftoning. PhD thesis, MIT, Cambridge, Mass

    Google Scholar 

  • Ulichney R (1987) Digital halftoning. MIT Press, Cambridge, Mass

    Google Scholar 

  • Witten IH, Neal RM (1982) Using Peano curves for bilevel display of continuous-tone images. IEEE CG & A, pp 47–52

  • Witten IH, Wyvill B (1983) On the generation and use of space-filling curves. Software Practice and Experience 13:519–525

    Google Scholar 

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Cole, A.J. Halftoning without dither or edge enhancement. The Visual Computer 7, 232–246 (1991). https://doi.org/10.1007/BF01905689

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