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Statements

Subject Item
n2:RIV%2F61989100%3A27240%2F11%3A86080938%21RIV12-MSM-27240___
rdf:type
n11:Vysledek skos:Concept
dcterms: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 paper deals with the problem of measuring the distance along the manifold that is defined by image. We start from the discussion of difficulties that arise if the geodesic distance, diffusion distance, and some other known metrics are used. Coming from the diffusion equation and inspired by the diffusion distance, we propose to measure the proximity of points as an amount of substance that is transferred in diffusion process. The analogy between the images and electrical circuits is used in the paper, i.e., we measure the proximity as an amount of electrical charge that is transported, during a certain time interval, between two nodes of a resistor-capacitor network. We show how the quantity we introduce can be used in the algorithms for supervised (seeded) and unsupervised image segmentation. We also show that the distance between the areas consisting of more than one point (pixel) can also be easily introduced in a meaningful way. Experimental results are also presented. 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 paper deals with the problem of measuring the distance along the manifold that is defined by image. We start from the discussion of difficulties that arise if the geodesic distance, diffusion distance, and some other known metrics are used. Coming from the diffusion equation and inspired by the diffusion distance, we propose to measure the proximity of points as an amount of substance that is transferred in diffusion process. The analogy between the images and electrical circuits is used in the paper, i.e., we measure the proximity as an amount of electrical charge that is transported, during a certain time interval, between two nodes of a resistor-capacitor network. We show how the quantity we introduce can be used in the algorithms for supervised (seeded) and unsupervised image segmentation. We also show that the distance between the areas consisting of more than one point (pixel) can also be easily introduced in a meaningful way. Experimental results are also presented.
dcterms:title
Image segmentation based on electrical proximity in a resistor-capacitor network Image segmentation based on electrical proximity in a resistor-capacitor network
skos:prefLabel
Image segmentation based on electrical proximity in a resistor-capacitor network Image segmentation based on electrical proximity in a resistor-capacitor network
skos:notation
RIV/61989100:27240/11:86080938!RIV12-MSM-27240___
n11:predkladatel
n15:orjk%3A27240
n4:aktivita
n5:S
n4:aktivity
S
n4:cisloPeriodika
6915
n4:dodaniDat
n13:2012
n4:domaciTvurceVysledku
n7:5223806 n7:4899423 n7:4442539
n4:druhVysledku
n17:J
n4:duvernostUdaju
n16:S
n4:entitaPredkladatele
n14:predkladatel
n4:idSjednocenehoVysledku
203554
n4:idVysledku
RIV/61989100:27240/11:86080938
n4:jazykVysledku
n12:eng
n4:klicovaSlova
diffusion equation; proximity; image segmentation
n4:klicoveSlovo
n10:proximity n10:image%20segmentation n10:diffusion%20equation
n4:kodStatuVydavatele
DE - Spolková republika Německo
n4:kontrolniKodProRIV
[49B925DE9E10]
n4:nazevZdroje
Lecture Notes in Computer Science
n4:obor
n18:IN
n4:pocetDomacichTvurcuVysledku
3
n4:pocetTvurcuVysledku
3
n4:rokUplatneniVysledku
n13:2011
n4:svazekPeriodika
2011
n4:tvurceVysledku
Sojka, Eduard Gaura, Jan Krumnikl, Michal
s:issn
0302-9743
s:numberOfPages
12
n3:doi
10.1007/978-3-642-23687-7_20
n9:organizacniJednotka
27240