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Geometrical Properties Of 3D Digitized Images

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A digitized binary image contains only two groups of voxels, 1-voxels and 0-voxels. We assume for now that we have interest in the set of 1-voxels and will call it a figure. The other set we call the background. Properties of a digitized figure are often very different from those of ordinary figures in the continuous space. Treating geometrical properties of digitized figures is called digital geometry. In this chapter, we briefly introduce the basics of digital geometry before discussing them further. The most important basic concepts of digital geometry are shown in Fig. 4.1.

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© 2009 Springer-Verlag London Limited

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Toriwaki, J., Yoshida, H. (2009). Geometrical Properties Of 3D Digitized Images. In: Fundamentals of Three-Dimensional Digital Image Processing. Springer, London. https://doi.org/10.1007/978-1-84800-173-2_4

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  • DOI: https://doi.org/10.1007/978-1-84800-173-2_4

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84800-172-5

  • Online ISBN: 978-1-84800-173-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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