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Offset Approach to Defining 3D Digital Lines

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Advances in Visual Computing (ISVC 2008)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 5358))

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Abstract

In this paper we investigate an approach of constructing a 3D digital line by taking the integer points within an offset of a certain radius of the line. Alternatively, we also investigate digital lines obtained through a “pseudo-offset” defined by a parallelepiped enclosing the integer points around the line. We show that if the offset radius (resp. side of the parallelepiped section) is greater than \(\sqrt{3}\) (resp. 2\(\sqrt{3}\)), then the digital line is at least 1-connected. Extensive experiments show that the lines obtained feature satisfactory appearance.

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Author information

Authors and Affiliations

  1. Mathematics Department, SUNY Buffalo State College, Buffalo, NY 14222, USA

    Valentin E. Brimkov & François de Vieilleville

  2. Department of Computer Science, SUNY Fredonia, NY 14063, USA

    Reneta P. Barneva

  3. Gifted Math Program, University at Buffalo, Buffalo, NY 14260-1000, USA

    Boris Brimkov

Authors
  1. Valentin E. Brimkov
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  2. Reneta P. Barneva
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  3. Boris Brimkov
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  4. François de Vieilleville
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, University of Nevada, Reno, USA

    George Bebis

  2. NASA Ames Research Center, Moffett Field, CA, USA

    Richard Boyle

  3. Lawrence Berkeley National Laboratory, Berkeley, CA, USA

    Bahram Parvin

  4. Desert Research Institute, Reno, NV, USA

    Darko Koracin

  5. Digital Image Research Center, Kingston University, London, UK

    Paolo Remagnino

  6. Mitsubishi Electric Research Laboratories, P.O. Box 02139, Cambridge, MA, USA

    Fatih Porikli

  7. Computer and Information Science and Engineering, University of Florida, P.O. Box, FL 32611-6120, Gainsville, USA

    Jörg Peters

  8. IBM T.J. Watson Research Center, 19 Skyline Drive, NY 10532, Hawthorne, USA

    James Klosowski

  9. 128 Memorial Mall, Stewart B001, IN 47907, West Lafayette, USA

    Laura Arns

  10. Denver Museum of Nature and Space, 2001 Colorade Blvd. Denver,, CO 80205, USA

    Yu Ka Chun

  11. Departmen of Computer Science,, NC State University, Campus Box 8206, NC 27695-8206, Raleigh, USA

    Theresa-Marie Rhyne

  12. Los Alamos National Labs, P.O. Box 1663, NM 87545, Los Alamos, USA

    Laura Monroe

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© 2008 Springer-Verlag Berlin Heidelberg

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Brimkov, V.E., Barneva, R.P., Brimkov, B., de Vieilleville, F. (2008). Offset Approach to Defining 3D Digital Lines. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2008. Lecture Notes in Computer Science, vol 5358. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89639-5_65

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  • DOI: https://doi.org/10.1007/978-3-540-89639-5_65

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-89638-8

  • Online ISBN: 978-3-540-89639-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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