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Minimum-Width Annulus with Outliers: Circular, Square, and Rectangular Cases

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WALCOM: Algorithms and Computation (WALCOM 2018)

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Abstract

We study the problem of computing a minimum-width annulus with outliers. Specifically, given a set of n points in the plane and a nonnegative integer \(k \le n\), the problem asks to find a minimum-width annulus that contains at least \(n-k\) input points. The k excluded points are considered as outliers of the input points. In this paper, we are interested in particular in annuli of three different shapes: circular, square, and rectangular annuli. For the three cases, we present first and improved algorithms to the problem.

H.-K. Ahn, T. Ahn, J. Choi, M. Kim, E. Oh, and S.D. Yoon were supported by the MSIT (Ministry of Science and ICT), Korea, under the SW Starlab support program (IITP–2017–0–00905) supervised by the IITP (Institute for Information & communications Technology Promotion). S.W. Bae was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2015R1D1A1A01057220). C.-S. Shin was supported by University Research Grant of Hankuk University of Foreign Studies.

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Authors and Affiliations

  1. Department of Computer Science and Engineering, POSTECH, Pohang, South Korea

    Hee-Kap Ahn, Taehoon Ahn, Jongmin Choi, Mincheol Kim, Eunjin Oh & Sang Duk Yoon

  2. Department of Computer Science, Kyonggi University, Suwon, South Korea

    Sang Won Bae

  3. Division of Computer and Electronic Systems Engineering, Hankuk University of Foreign Studies, Yongin, South Korea

    Chan-Su Shin

Authors
  1. Hee-Kap Ahn
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  2. Taehoon Ahn
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  3. Sang Won Bae
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  4. Jongmin Choi
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  5. Mincheol Kim
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  6. Eunjin Oh
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  7. Chan-Su Shin
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  8. Sang Duk Yoon
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Corresponding author

Correspondence to Sang Won Bae .

Editor information

Editors and Affiliations

  1. Bangladesh University of Engineering and Technology, Dhaka, Bangladesh

    M. Sohel Rahman

  2. National University of Singapore , Singapore, Singapore

    Wing-Kin Sung

  3. Japan Advanced Institute of Science and Technology, Ishikawa, Japan

    Ryuhei Uehara

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Ahn, HK. et al. (2018). Minimum-Width Annulus with Outliers: Circular, Square, and Rectangular Cases. In: Rahman, M., Sung, WK., Uehara, R. (eds) WALCOM: Algorithms and Computation. WALCOM 2018. Lecture Notes in Computer Science(), vol 10755. Springer, Cham. https://doi.org/10.1007/978-3-319-75172-6_5

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  • DOI: https://doi.org/10.1007/978-3-319-75172-6_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-75171-9

  • Online ISBN: 978-3-319-75172-6

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