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Medical Image Segmentation including Particle Methods

Manual - september 2011
Télécharger la publication : DiplomarbeitDirks.pdf [6.4Mo]  
Segmentation plays an important role in modern image processing. In this diploma thesis we present an edge tracking algorithm based on charged particles. We discuss the reconstruction from a point-cloud to a set of boundaries, perform analysis on the discrete model and establish a mean-field limit which results in a PDE. Also topological aspects of point-clouds are analyzed using persistent homology and applied to the reconstruction. We give a short overview of current particle models and finally introduce an algorithm that converts a set of boundaries into a level-set representation.

Références BibTex

@Manual{Dir11,
  author       = {Dirks, H.},
  title        = {Medical Image Segmentation including Particle Methods},
  month        = {september},
  year         = {2011},
  organization = {Institute for Computational and Applied Mathematics},
  address      = {University of Muenster},
  url          = \{/2011/Dir11},
}

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