Interface Detection Using a Quenched-Noise Version of the Edwards-Wilkinson Equation

Tuomas Turpeinen, Markko Myllys, Pekka Kekalainen, Jussi Timonen

Research output: Contribution to journalArticleScientificpeer-review

7 Citations (Scopus)


We report here a multipurpose dynamic-interface-based segmentation tool, suitable for segmenting planar, cylindrical, and spherical surfaces in 3D. The method is fast enough to be used conveniently even for large images. Its implementation is straightforward and can be easily realized in many environments. Its memory consumption is low, and the set of parameters is small and easy to understand. The method is based on the Edwards-Wilkinson equation, which is traditionally used to model the equilibrium fluctuations of a propagating interface under the influence of temporally and spatially varying noise. We report here an adaptation of this equation into multidimensional image segmentation, and its efficient discretization.
Original languageEnglish
Pages (from-to)5696-5705
Number of pages10
JournalIEEE Transactions on Image Processing
Issue number12
Publication statusPublished - Dec 2015
MoE publication typeNot Eligible


  • Gray-scale
  • Image segmentation
  • Mathematical model
  • Noise
  • Surface morphology
  • Surface topography
  • Three-dimensional displays


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