Provably Correct Edgel Linking and Subpixel Boundary Reconstruction

  • Ullrich Köthe
  • Peer Stelldinger
  • Hans Meine
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4174)


Existing methods for segmentation by edgel linking are based on heuristics and give no guarantee for a topologically correct result. In this paper, we propose an edgel linking algorithm based on a new sampling theorem for shape digitization, which guarantees a topologically correct reconstruction of regions and boundaries if the edgels approximate true object edges with a known maximal error. Experiments on real and generated images demonstrate the good performance of the new method and confirm the predictions of our theory.


Point Spread Function Delaunay Triangulation Newton Iteration Concave Side Gradient Magnitude 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Ullrich Köthe
    • 1
  • Peer Stelldinger
    • 1
  • Hans Meine
    • 1
  1. 1.University of HamburgHamburgGermany

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