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Description
  • Measuring the distances is an important problem in many image-segmentation algorithms. The distance should tell whether two image points belong to a single or, respectively, to two different image segments. The simplest approach is to use the Euclidean distance. However, measuring the distances along the image manifold seems to take better into account the facts that are important for segmentation. Geodesic distance, i.e. the shortest path in the corresponding graph or k shortest paths can be regarded as the simplest way how the distances along the manifold can be measured. At a first glance, one would say that the resistance and diffusion distance should provide the properties that are even better since all the paths along the manifold are taken into account. Surprisingly, it is not often true. We show that the high number of paths is not beneficial for measuring the distances in image segmentation. On the basis of analysing the problems of diffusion distance, we introduce its modification, in which, in essence, the number of paths is restricted to a certain chosen number. We demonstrate the positive properties of this new metrics.
  • Measuring the distances is an important problem in many image-segmentation algorithms. The distance should tell whether two image points belong to a single or, respectively, to two different image segments. The simplest approach is to use the Euclidean distance. However, measuring the distances along the image manifold seems to take better into account the facts that are important for segmentation. Geodesic distance, i.e. the shortest path in the corresponding graph or k shortest paths can be regarded as the simplest way how the distances along the manifold can be measured. At a first glance, one would say that the resistance and diffusion distance should provide the properties that are even better since all the paths along the manifold are taken into account. Surprisingly, it is not often true. We show that the high number of paths is not beneficial for measuring the distances in image segmentation. On the basis of analysing the problems of diffusion distance, we introduce its modification, in which, in essence, the number of paths is restricted to a certain chosen number. We demonstrate the positive properties of this new metrics. (en)
Title
  • A modification of diffusion distance for clustering and image segmentation
  • A modification of diffusion distance for clustering and image segmentation (en)
skos:prefLabel
  • A modification of diffusion distance for clustering and image segmentation
  • A modification of diffusion distance for clustering and image segmentation (en)
skos:notation
  • RIV/61989100:27240/13:86088905!RIV14-MSM-27240___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S
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
  • 58758
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27240/13:86088905
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • image segmentation; geodesic distance; diffusion distance (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [7237C285E199]
http://linked.open...v/mistoKonaniAkce
  • Poznan
http://linked.open...i/riv/mistoVydani
  • Berlín
http://linked.open...i/riv/nazevZdroje
  • Lecture Notes in Computer Science. Volume 8192
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Gaura, Jan
  • Sojka, Eduard
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
issn
  • 0302-9743
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/978-3-319-02895-8_43
http://purl.org/ne...btex#hasPublisher
  • Springer Heidelberg
https://schema.org/isbn
  • 978-3-319-02894-1
http://localhost/t...ganizacniJednotka
  • 27240
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