• DocumentCode
    1516815
  • Title

    Decomposing the Laplacian

  • Author

    Piech, M. Ann

  • Author_Institution
    Dept. of Math., State Univ. of New York, Buffalo, NY, USA
  • Volume
    12
  • Issue
    8
  • fYear
    1990
  • fDate
    8/1/1990 12:00:00 AM
  • Firstpage
    830
  • Lastpage
    831
  • Abstract
    A correction is made and an elementary derivation is given of Clark´s (ibid., vol.11, p.43-57, 1989) decomposition of the Laplacian Δ2f(x,y) into a second directional derivative in the gradient direction of f, and a product of gradient magnitude by curvature of the level curve through f(x,y)
  • Keywords
    calculus; Laplacian; decomposition; second directional derivative; Acceleration; Calculus; Content addressable storage; Geometry; Imaging phantoms; Laplace equations; Machine intelligence; Mathematics; Pattern analysis; Tensile stress;
  • fLanguage
    English
  • Journal_Title
    Pattern Analysis and Machine Intelligence, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0162-8828
  • Type

    jour

  • DOI
    10.1109/34.57673
  • Filename
    57673
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1516815