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Privacy-preserving computational geometry

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Privacy-preserving computational geometry is the research area on the intersection of the domains of secure multi-party computation (SMC) and computational geometry. Classical problems of computational geometry reconsidered from the point of view of SMC include shape intersection, private point inclusion problem, range searching, convex hull,[1] and more.[2]

A pioneering work in this area was a 2001 paper by Atallah and Du, [3] in which the secure point in polygon inclusion and polygonal intersection problems were considered.

Other problems are computation of the distance between two private points[4] and secure two-party point-circle inclusion problem.[5]


References

  1. ^ [1]
  2. ^ Kaitai LIANG, Bo YANG, Dake HE, Min ZHOU, Privacy-Preserving Computational Geometry Problems on Conic Sections, Journal of Computational Information Systems 7: 6 (2011) 1910-1923
  3. ^ Atallah M J, Du W. Secure Multiparty Computational Geometry. In Proc. Algorithms and Data Structures: 7th International Workshop, WADS 2001, Lecture Notes in Computer Science, LNCS 2125, Providence, RI, USA, pages 165-179, August, 8-10, 2001. (As cited by Liang et al. 2011)
  4. ^ Li S D, Dai Y Q. Secure two-party computational geometry. Journal of Computer Science and Technology, 20(2): pages 258-263, 2005.
  5. ^ Luo Y L, Huang L S, Zhong H. Secure two-party point-circle inclusion problem. Journal of Computer Science and Technology, 22(1): pages 88-91, 2007