Computation of Minkowski Measures on 2d and 3d Binary Images

Legland, David; Kiêu, Kiên; Devaux, Marie-Françoise

doi:10.5566/ias.v26.p83-92

Cited by 175 publications

(124 citation statements)

References 17 publications

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“…Random sampling of orbits was based on surface-area maps associated with the orbits (Legland et al, 2007). Simulated CT centers were drawn randomly and independently of each other on orbits.…”

Section: Numerical Simulationsmentioning

confidence: 99%

Distance between homologous chromosomes results from chromosome positioning constraints

Heride

Ricoul

Kiêu

et al. 2010

Journal of Cell Science

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SummaryThe organization of chromosomes is important for various biological processes and is involved in the formation of rearrangements often observed in cancer. In mammals, chromosomes are organized in territories that are radially positioned in the nucleus. However, it remains unclear whether chromosomes are organized relative to each other. Here, we examine the nuclear arrangement of 10 chromosomes in human epithelial cancer cells by three-dimensional FISH analysis. We show that their radial position correlates with the ratio of their gene density to chromosome size. We also observe that inter-homologue distances are generally larger than interheterologue distances. Using numerical simulations taking radial position constraints into account, we demonstrate that, for some chromosomes, radial position is enough to justify the inter-homologue distance, whereas for others additional constraints are involved. Among these constraints, we propose that nucleolar organizer regions participate in the internal positioning of the acrocentric chromosome HSA21, possibly through interactions with nucleoli. Maintaining distance between homologous chromosomes in human cells could participate in regulating genome stability and gene expression, both mechanisms that are key players in tumorigenesis.

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Section: Numerical Simulationsmentioning

confidence: 99%

Distance between homologous chromosomes results from chromosome positioning constraints

Heride

Ricoul

Kiêu

et al. 2010

Journal of Cell Science

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“…The selected parameter was the sphericity Ψ (Equation (1)). It is defined as the ratio of the surface area of a sphere with the same volume V p as the given region of interest to the surface area (A p ) of the region of interest [27]. In the present case, anode macro cracks are relatively thin compared to their length and width.…”

Section: Algorithmmentioning

confidence: 95%

Crack Detection Method Applied to 3D Computed Tomography Images of Baked Carbon Anodes

Picard

Lauzon-Gauthier

Duchesne

et al. 2016

Metals

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Carbon anodes used in the aluminium industry were imaged through destructive and non-destructive testing (NDT) methods. For the latter case, computed tomography (CT), which has previously been used to map the 3D apparent density distribution, was extended to crack detection. Previous work has shown how to overcome technical hurdles related to crack detection by using percolation-based algorithms operating on low-resolution images of full-scale baked carbon anodes. The previous application to 2D images was extended here to the 3D case. The crack detection algorithm has been performed on anode slices containing several independent macro cracks with different morphologies.

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“…Specifically, Minkowski connectivity describes the measure of the amount of connections in the pattern by analyzing the relationship of connected and disconnected pixels in an image. In general case ξ is defined [42]:…”

Section: Minkowski Functionals For Graphene Flake Networkmentioning

confidence: 99%

Morphological Characterization of Graphene Flake Networks Using Minkowski Functionals

Levchenko¹,

Fang²,

Ostrikov³

et al. 2016

Graphene

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Two Minkowski functionals were tested in the capacity of morphological descriptors to quantitatively compare the arrays of vertically-aligned graphene flakes grown on smooth and nanoporous alumina and silica surfaces. Specifically, the Euler-Poincaré characteristic and fractal dimension graphs were used to characterize the degree of connectivity and order in the systems, i.e. in the graphene flake patterns of petal-like and tree-like morphologies on solid substrates, and meshlike patterns (networks) grown on nanoporous alumina treated in low-temperature inductivelycoupled plasma. It was found that the Minkowski functionals return higher connectivity and fractal dimension numbers for the graphene flakepatterns with more complex morphologies, and indeed can be used as morphological descriptors to differentiate among various configurations of vertically-aligned graphene flakes grown on surfaces.

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Computation of Minkowski Measures on 2d and 3d Binary Images

Cited by 175 publications

References 17 publications

Distance between homologous chromosomes results from chromosome positioning constraints

Distance between homologous chromosomes results from chromosome positioning constraints

Crack Detection Method Applied to 3D Computed Tomography Images of Baked Carbon Anodes

Morphological Characterization of Graphene Flake Networks Using Minkowski Functionals

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