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Distance Transformations in Hexagonal Grids

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Abstract

A distance transformation converts a binary image, consisting of feature and non-feature pixels, into a distance image. In this distance image each non-feature pixel has a value that approximates (or is equal to) the distance to the nearest feature pixel. Distance transformation will be denoted DT henceforth. In this paper DTs for the hexagonal pixel grid are derived and presented. A very small example of such a DT is shown i Fig. 1.

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References

  1. G Borgefors: Distance Transformations in Arbitrary Dimensions, Computer Vision, Graphics Image Processing 27, pp. 321–345, 1984.

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  2. A Rosenfeld and J Pfaltz: Sequential Operations in Digital Image Processing, Jour. Assoc. Comp. Mach. 13, pp. 471–494, 1966.

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  3. A Rosenfeld and J Pfaltz: Distance Functions on Digital Pictures, Pattern Recognition 1 (1), pp. 33–61, 1968.

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© 1988 Plenum Press, New York

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Borgefors, G. (1988). Distance Transformations in Hexagonal Grids. In: Cantoni, V., Di Gesù, V., Levialdi, S. (eds) Image Analysis and Processing II. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1007-5_22

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  • DOI: https://doi.org/10.1007/978-1-4613-1007-5_22

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8289-1

  • Online ISBN: 978-1-4613-1007-5

  • eBook Packages: Springer Book Archive

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