Noisy Medical Image Edge Detection Algorithm Based on a Morphological Gradient Using Uninorms

  • Manuel González-HidalgoEmail author
  • Arnau Mir Torres
  • Daniel Ruiz Aguilera
  • Joan Torrens Sastre
Part of the Computational Methods in Applied Sciences book series (COMPUTMETHODS, volume 19)


Medical images edge detection is one of the most important pre-processing steps in medical image segmentation and 3D reconstruction. In this paper, an edge detection algorithm using an uninorm-based fuzzy morphology is proposed. It is shown that this algorithm is robust when it is applied to different types of noisy images. It improves the results of other well-known algorithms including classical algorithms of edge detection, as well as fuzzy-morphology based ones using the Łukasiewicz t-norm and umbra approach. It detects detailed edge features and thin edges of medical images corrupted by impulse or gaussian noise. Moreover, some different objective measures have been used to evaluate the filtered results obtaining for our approach better values than for other approaches.


Noise reduction Edge detection Mathematical morphology Uninorms Representable uninorm Idempotent uninorm 



This work has been supported by the Government Spanish Grant MTM2009-10320 and TIN2007-67993, with FEDER support.


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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Manuel González-Hidalgo
    • 1
    Email author
  • Arnau Mir Torres
    • 2
  • Daniel Ruiz Aguilera
    • 2
  • Joan Torrens Sastre
    • 2
  1. 1.Computer Graphics, Vision and Artificial Intelligence Group, Mathematics and Computer Science DepartmentUniversity of the Balearic IslandsPalmaSpain
  2. 2.Fuzzy Logic and Information Fusion Group, Mathematics and Computer Science DepartmentUniversity of the Balearic IslandsPalmaSpain

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