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Integral Geometry
Random Set
Related Publications
(95)
Image Analysis and Mathematical Morphology
Growth and Form
Foundations of a theory of random sets
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Random sets and integral geometry
Random sets and integral geometry,G. Matheron
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Random sets and integral geometry
(
Citations: 1363
)
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G. Matheron
Published in 1975.
Cumulative
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Citation Context
(685)
...It is known that many textures are scale invariant due to the fractal properties of textures and piecewise smooth properties of surfaces [20], [
24
]...
Taeg Sang Cho
,
et al.
Image Restoration by Matching Gradient Distributions
...We next define a random closed set in ℝ
^{ d }
as in [
10
,
12
]...
Tamal Banerjee
,
et al.
Limit laws for coverage in backbonesensor networks
...Then, for
K
⊂ ℝ
^{ n }
compact and
V
⊂ ℝ
^{ n }
the following sets can be defined: The topology on ℱ(ℝ
^{ n }
), created by the sets ℱ
_{ V }
, ℱ
^{ K }
for all open V and compact K, is the
Fell

topology
𝒯
_{ℱ}
and (ℱ(ℝ
^{ n }
), 𝒯
_{ℱ}
) is compact, Hausdorff and separable
11
...
Martin Heida
.
Stochastic homogenization of heat transfer in polycrystals with nonlin...
...where dH is the Haussdorff metrics on the set of closed subsets of R+ × U, and {Km} is a sequence of compacts such that S m Km = R + × U. Then (O, dO) is a Polish space, and one can deduce from [
28
], Propositions...
Alexey M. Kulik
.
Absolute Continuity and Convergence in Variation for Distributions of ...
...The structure of ghosts becomes simpler in image or projection space as N approaches either 1 or p. This result is strikingly similar to that for the decomposition of open, median and close filters from mathematical morphology into sets of primitive erosions (or dilations) [15,
16
,19]...
Imants D. Svalbe
,
et al.
Properties of Minimal Ghosts
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Citations
(1363)
Image Restoration by Matching Gradient Distributions
Taeg Sang Cho
,
C. Lawrence Zitnick
,
Neel Joshi
,
Sing Bing Kang
,
Richard Szeliski
,
William T. Freeman
Journal:
IEEE Transactions on Pattern Analysis and Machine Intelligence  PAMI
, vol. 34, no. 4, pp. 683694, 2012
Limit laws for coverage in backbonesensor networks
Tamal Banerjee
,
Srikanth K. Iyer
Journal:
Stochastics An International Journal of Probability and Stochastic Processes
, vol. aheadofp, no. aheadofp, pp. 113, 2012
Stochastic homogenization of heat transfer in polycrystals with nonlinear contact conductivities
Martin Heida
Journal:
Applicable Analysis
, vol. 91, no. 7, pp. 12431264, 2012
Morphological perceptrons with competitive learning: Latticetheoretical framework and constructive learning algorithm
(
Citations: 12
)
Peter Sussner
,
Estevão Laureano Esmi
Journal:
Information Sciences  ISCI
, vol. 181, no. 10, pp. 19291950, 2011
Random set framework for multiple instance learning
(
Citations: 3
)
Jeremy Bolton
,
Paul D. Gader
,
Hichem Frigui
,
Peter Torrione
Journal:
Information Sciences  ISCI
, vol. 181, no. 11, pp. 20612070, 2011