• DocumentCode
    2913309
  • Title

    Heat Flow and a Faster Algorithm to Compute the Surface Area of a Convex Body

  • Author

    Belkin, Mikhail ; Narayanan, Hariharan ; Niyogi, Partha

  • Author_Institution
    Dept. of Comput. Sci. & Eng., Ohio State Univ.
  • fYear
    2006
  • fDate
    Oct. 2006
  • Firstpage
    47
  • Lastpage
    56
  • Abstract
    We draw on the observation that the amount of heat diffusing outside of a heated body in a short period of time is proportional to its surface area, to design a simple algorithm for approximating the surface area of a convex body given by a membership oracle. Our method has a complexity of O*(n4), where n is the dimension, compared to O*( n8.5) for the previous best algorithm. We show that our complexity cannot be improved given the current state-of-the-art in volume estimation
  • Keywords
    computational complexity; computational geometry; heat transfer; algorithm; convex body; heat diffusion; heat flow; heated body; surface area; Algorithm design and analysis; Computer science; Design engineering; Heat engines; Interpolation; Polynomials; Quadratic programming; State estimation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Foundations of Computer Science, 2006. FOCS '06. 47th Annual IEEE Symposium on
  • Conference_Location
    Berkeley, CA
  • ISSN
    0272-5428
  • Print_ISBN
    0-7695-2720-5
  • Type

    conf

  • DOI
    10.1109/FOCS.2006.34
  • Filename
    4031342
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2913309