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[GRS+93]  A Markovian Framework for Digital Halftoning

Geist:1993:MFD (Article)
Author(s)Geist R., Reynolds R. and Suggs D.
Title« A Markovian Framework for Digital Halftoning »
JournalACM Transactions on Graphics
Volume12
Number2
Page(s)136--159
Year1993

Abstract
A mathematical framework for digital halfloning is proposed. Two models for digital halftoning are provided, one based on maximum-entropy Gibbs measures and one based on reversible Markov chains. The models are seen to be equivalent. This equivalence induces an equivalence between two associated halftoning algorithms, one based on neural networks and one based on simulated annealing. These algorithms are seen to provide halftone images that are preferable to those obtained by standard techniques.

BibTeX code
@article{Geist:1993:MFD,
  optcitations =
                  {Floyd:1976:AAS,Knuth:1987:DHD,Unichney:1987:DH,Ulichney:1988:DBN},
  number = {2},
  volume = {12},
  optissn = {0730-0301},
  author = {Robert Geist and Robert Reynolds and Darrell Suggs},
  optsubject = {{\bf I.4.0}: Computing Methodologies, IMAGE PROCESSING, General,
                Image displays. {\bf I.4.1}: Computing Methodologies, IMAGE
                PROCESSING, Digitization, Quantization. {\bf G.3}: Mathematics
                of Computing, PROBABILITY AND STATISTICS, Probabilistic
                algorithms (including Monte Carlo). {\bf I.3.3}: Computing
                Methodologies, COMPUTER GRAPHICS, Picture/Image Generation,
                Digitizing and scanning. {\bf I.3.3}: Computing Methodologies,
                COMPUTER GRAPHICS, Picture/Image Generation, Display algorithms.
                {\bf I.3.3}: Computing Methodologies, COMPUTER GRAPHICS,
                Picture/Image Generation. {\bf I.4.1}: Computing Methodologies,
                IMAGE PROCESSING, Digitization.},
  localfile = {papers/Geist.1993.MFD.pdf},
  title = {{A} {M}arkovian {F}ramework for {D}igital {H}alftoning},
  abstract = {A mathematical framework for digital halfloning is proposed. Two
              models for digital halftoning are provided, one based on
              maximum-entropy Gibbs measures and one based on reversible Markov
              chains. The models are seen to be equivalent. This equivalence
              induces an equivalence between two associated halftoning
              algorithms, one based on neural networks and one based on
              simulated annealing. These algorithms are seen to provide halftone
              images that are preferable to those obtained by standard
              techniques.},
  optkeywords = {algorithms},
  optmonth = {apr},
  doi = {http://doi.acm.org/10.1145/151280.151281},
  journal = j-TOG,
  pages = {136--159},
  year = {1993},
}

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