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  • In this paper, we propose a modification to the Boykov-Kolmogorov maximum flow algorithm in order to make the algorithm preserve the topology of an initial interface. This algorithm is being widely used in computer vision and image processing fields for its efficiency and speed when dealing with problems such as graph cut based image segmentation. Using our modification we are able to incorporate a topology prior into the algorithm allowing us to apply it in situations in which the inherent topological flexibility of graph cuts is inconvenient (e.g., biomedical image segmentation). Our approach exploits the simple point concept from digital geometry and is simpler and more straightforward to implement than previously introduced methods. Due to the NP-completeness of the topology preserving problem our algorithm is only an approximation and is initialization dependent. However, promising results are demonstrated on graph cut based segmentation of both synthetic and real image data.
  • In this paper, we propose a modification to the Boykov-Kolmogorov maximum flow algorithm in order to make the algorithm preserve the topology of an initial interface. This algorithm is being widely used in computer vision and image processing fields for its efficiency and speed when dealing with problems such as graph cut based image segmentation. Using our modification we are able to incorporate a topology prior into the algorithm allowing us to apply it in situations in which the inherent topological flexibility of graph cuts is inconvenient (e.g., biomedical image segmentation). Our approach exploits the simple point concept from digital geometry and is simpler and more straightforward to implement than previously introduced methods. Due to the NP-completeness of the topology preserving problem our algorithm is only an approximation and is initialization dependent. However, promising results are demonstrated on graph cut based segmentation of both synthetic and real image data. (en)
Title
  • A Simple Topology Preserving Max-Flow Algorithm for Graph Cut Based Image Segmentation
  • A Simple Topology Preserving Max-Flow Algorithm for Graph Cut Based Image Segmentation (en)
skos:prefLabel
  • A Simple Topology Preserving Max-Flow Algorithm for Graph Cut Based Image Segmentation
  • A Simple Topology Preserving Max-Flow Algorithm for Graph Cut Based Image Segmentation (en)
skos:notation
  • RIV/00216224:14330/11:00051805!RIV12-MSM-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(2B06052), P(LC535), S, Z(MSM0021622419)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 184147
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/11:00051805
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • maximum flow algorithm; topology preserving; image segmentation; graph cuts (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [A919B11C08BF]
http://linked.open...v/mistoKonaniAkce
  • Mikulov
http://linked.open...i/riv/mistoVydani
  • Saarbrücken, Warden
http://linked.open...i/riv/nazevZdroje
  • Sixth Doctoral Workshop on Mathematical and Engineering Methods in Computer Science (Selected Papers)
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Daněk, Ondřej
  • Maška, Martin
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
issn
  • 2190-6807
number of pages
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  • Schloss Dagstuhl Publishing
https://schema.org/isbn
  • 978-3-939897-22-4
http://localhost/t...ganizacniJednotka
  • 14330
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