The Image Foresting Transform: Theory, Algorithms, and Applications

  • Authors:
  • Alexandre X. Falcão;Jorge Stolfi;Roberto de Alencar Lotufo

  • Affiliations:
  • -;-;-

  • Venue:
  • IEEE Transactions on Pattern Analysis and Machine Intelligence
  • Year:
  • 2004

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Abstract

Abstract--The image foresting transform (IFT) is a graph-based approach to the design of image processing operators based on connectivity. It naturally leads to correct and efficient implementations and to a better understanding of how different operators relate to each other. We give here a precise definition of the IFT, and a procedure to compute it--a generalization of Dijkstra's algorithm--with a proof of correctness. We also discuss implementation issues and illustrate the use of the IFT in a few applications.