Group Averaged Linear Transforms that Detect Corners and Edges

  • Authors:

  • J. C. Dunn

  • Affiliations:

  • Department of Theoretical and Applied Mechanics and the Center for Applied Mathematics, Cornell University

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1975

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Abstract

Linear transforms of the characteristic functions of plane figures are averaged over the one parameter continuous group of dilatations (homothetic scale changes) to obtain new dilatation-invariant transforms. For a large class of kernel functions, the group averaged transforms act as corner detectors or edge detectors.