Mean‐intercept anisotropy analysis of porous media. II. Conceptual shortcomings of the MIL tensor definition and Minkowski tensors as an alternative

No abstract is available for this paper.

• Publication year

  2017

• Venue

  Medical Physics (Lancaster)

• Publication date

  2017-07-01

• Fields of study

  Materials Science, Physics, Mathematics, Engineering, Medicine

• Identifiers
  DOI 10.1002/mp.12280PMID 28425122
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Morphometric analysis in gamma-ray astronomy using Minkowski functionals: III. Sensitivity increase via a refined structure quantification

  2017cited by this paper
• Second Order Analysis of Geometric Functionals of Boolean Models

  2016cited by this paper
• Kinetics of fluid demixing in complex plasmas: Domain growth analysis using Minkowski tensors.

  2016cited by this paper
• Morphometry of random spatial structures in physics

  2016cited by this paper
• Crofton Formulae for Tensorial Curvature Measures: The General Case

  2016cited by this paper
• Stress-induced anisotropy in granular materials: fabric, stiffness, and permeability

  2015cited by this paper
• The method of densities for non-isotropic Boolean models

  2015cited by this paper
• Direct relations between morphology and transport in Boolean models.

  2015cited by this paper
• Rotational Integral Geometry and Local Stereology - with a View to Image Analysis

  2015cited by this paper
• Angularly anisotropic correlation in granular packings.

  2014cited by this paper
• Integral-geometry characterization of photobiomodulation effects on retinal vessel morphology.

  2014cited by this paper
• Appearance of the single gyroid network phase in “nuclear pasta” matter

  2014cited by this paper
• Fundamental measure theory for smectic phases: scaling behavior and higher order terms.

  2014cited by this paper
• Kinematic formulas for tensor valuations

  2014cited by this paper
• Local Stereology of Tensors of Convex Bodies

  2014cited by this paper
• Rotational integral geometry of tensor valuations

  2013cited by this paper
• Minkowski tensor density formulas for Boolean models

  2013cited by this paper
• Second-order properties and central limit theorems for geometric functionals of Boolean models

  2013cited by this paper
• Morphometric analysis in gamma-ray astronomy using Minkowski functionals - Source detection via structure quantification

  2013cited by this paper
• Time-Dependent Hartree-Fock Approach to Nuclear Pasta at Finite Temperature

  2012cited by this paper
• Jammed spheres: Minkowski tensors reveal onset of local crystallinity.

  2012cited by this paper
• Generalizing the mean intercept length tensor for gray-level images.

  2012cited by this paper
• Tensorial Minkowski functionals of triply periodic minimal surfaces

  2012cited by this paper
• Structure and deformation correlation of closed-cell aluminium foam subject to uniaxial compression

  2012cited by this paper
• Generalizing the mean intercept length tensor for gray-level images.

  2012cited by this paper
• Minkowski Tensor Shape Analysis of Cellular, Granular and Porous Structures

  2011cited by this paper
• Improved reconstructions of random media using dilation and erosion processes.

  2011cited by this paper
• Two- and three-dimensional shape fabric analysis by the intercept method in grey levels

  2010cited by this paper
• Statistical Physics and Spatial Statistics: The Art Of Analyzing And Modeling Spatial Structures And Pattern Formation

  2010cited by this paper
• Tensorial Minkowski functionals and anisotropy measures for planar patterns

  2010cited by this paper
• Comparison of 2D fiber network orientation measurement methods.

  2009cited by this paper
• A superior descriptor of random textures and its predictive capacity

  2009cited by this paper
• Boolean reconstructions of complex materials: Integral geometric approach.

  2009cited by this paper
• Strength through structure: visualization and local assessment of the trabecular bone structure

  2008cited by this paper
• Integral geometry of tensor valuations

  2008cited by this paper
• Utilizing Minkowski functionals for image analysis: a marching square algorithm

  2008cited by this paper
• Extended morphometric analysis of neuronal cells with Minkowski valuations

  2005cited by this paper
• Quantification and visualization of anisotropy in trabecular bone

  2004cited by this paper
• Characterization of anisotropy in porous media by means of linear intercept measurements

  2003cited by this paper
• Application of Monte Carlo Chord-Length Sampling Algorithms to Transport through a Two-Dimensional Binary Stochastic Mixture

  2003cited by this paper
• Reconstructing complex materials via effective grain shapes.

  2003cited by this paper
• Overview of the Alliance for Cellular Signaling

  2002cited by this paper
• Random Heterogeneous Materials

  2002cited by this paper
• Morphological fluctuations of large-scale structure: The PSCz survey

  2001cited by this paper
• Exact Moments of Curvature Measures in the Boolean Model

  2001cited by this paper
• Elastic Properties of Model Porous Ceramics

  2000cited by this paper
• Description of Continuous Isometry Covariant Valuations on Convex Sets

  1999cited by this paper
• Solids with cracks and non-spherical pores: proper parameters of defect density and effective elastic properties

  1999cited by this paper
• Continuous rotation invariant valuations on convex sets

  1999cited by this paper
• Disentangling the Cosmic Web. I. Morphology of Isodensity Contours

  1999cited by this paper
• THE MATERIAL BONE: Structure-Mechanical Function Relations

  1998cited by this paper
• Method‐Based Differences in the Automated Analysis of the Three‐Dimensional Morphology of Trabecular Bone

  1997cited by this paper
• Fabric and elastic principal directions of cancellous bone are closely related.

  1997cited by this paper
• Materials with fluid-filled pores of various shapes: Effective elastic properties and fluid pressure polarization

  1997cited by this paper
• Three-dimensional methods for quantification of cancellous bone architecture.

  1997cited by this paper
• Random geometrical models for porous media and other two-phase materials

  1996cited by this paper
• Fabric analysis using the intercept method

  1996cited by this paper
• The relationship between the structural and orthogonal compressive properties of trabecular bone.

  1994cited by this paper
• Quantification of connectivity in cancellous bone, with special emphasis on 3-D reconstructions.

  1993cited by this paper
• The Conneulor: unbiased estimation of connectivity using physical disectors under projection.

  1993cited by this paper
• The mean intercept length polygons for systems of planar nets

  1991cited by this paper
• Estimation of structural anisotropy based on volume orientation. A new concept

  1990cited by this paper
• ELASTIC COMPLIANCE FOR ROCK-LIKE MATERIALS WITH RANDOM CRACKS

  1985cited by this paper
• Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor

  1984cited by this paper
• ELASTIC COMPLIANCE FOR ROCK-LIKE MATERIALS WITH RANDOM CRACKS

  1984cited by this paper
• Stereological determination of structural anisotropy

  1984cited by this paper
• DISTRIBUTION OF DIRECTIONAL DATA AND FABRIC TENSORS

  1984cited by this paper
• The quantitative morphology of anisotropic trabecular bone

  1974cited by this paper
• Studien zur vektoriellen Integralgeometrie

  1973cited by this paper
• Sur les fonctions convexes et les inégalités entre les valeurs moyennes

  1906cited by this paper

• Finding densities and orientations of cracks and platelets from their traces in cross-sections, in anisotropic cases of non-random orientations

  2025cites this paper
• Morphometry on the sphere: Cartesian and irreducible Minkowski tensors explained and implemented

  2024cites this paper
• A microstructure-based parameterization of the effective anisotropic elasticity tensor of snow, firn, and bubbly ice

  2024cites this paper
• Data-Driven Based Characterization of Anisotropic Mechanical Properties for Cancellous Bone From Low-Resolution CT Images

  2023cites this paper
• Experimentally characterizing the spatially varying anisotropic mechanical property of cancellous bone via a Bayesian calibration method.

  2022cites this paper
• Anisotropy of soil water diffusivity of hillslope soil under spruce forest derived by X-ray CT and lab experiments

  2022cites this paper
• Tracking down the origin of superbubbles and supergiant shells in the Magellanic Clouds with Minkowski tensor analysis

  2021cites this paper
• Reconstructing porous structures from FIB-SEM image data: Optimizing sampling scheme and image processing.

  2021cites this paper
• Quantitative Analysis of Samples of Natural Hydrocarbon Reservoirs by the Methods of Integral Geometry and Topology

  2021cites this paper
• Characterization of anisotropic Gaussian random fields by Minkowski tensors

  2021cites this paper
• The local and global geometry of trabecular bone

  2020cites this paper
• Characterizing digital microstructures by the Minkowski‐based quadratic normal tensor

  2020cites this paper
• Strength of bacterial adhesion on nanostructured surfaces quantified by substrate morphometry.

  2019cites this paper
• Scale-free crystallization of two-dimensional complex plasmas: Domain analysis using Minkowski tensors.

  2018cites this paper
• Characterization of maximally random jammed sphere packings. III. Transport and electromagnetic properties via correlation functions.

  2017cites this paper