Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
Deflection of a Beam01:19

Deflection of a Beam

Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
Molecular Orbital Theory I02:35

Molecular Orbital Theory I

Overview of Molecular Orbital Theory
MO Theory and Covalent Bonding02:40

MO Theory and Covalent Bonding

The molecular orbital theory describes the distribution of electrons in molecules in a manner similar to the distribution of electrons in atomic orbitals. The region of space in which a valence electron in a molecule is likely to be found is called a molecular orbital. Mathematically, the linear combination of atomic orbitals (LCAO) generates molecular orbitals. Combinations of in-phase atomic orbital wave functions result in regions with a high probability of electron density, while...
Bending of Members Made of Several Materials01:11

Bending of Members Made of Several Materials

In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each material's...
Singularity Functions for Shear01:26

Singularity Functions for Shear

In structural analysis, singularity functions are crucial in simplifying the representation of shear forces in beams under discontinuous loading. These functions describe discontinuous variations in shear force across a beam with varying loads by using a single mathematical expression, regardless of the complexity of the loading conditions. The singularity functions are derived from creating a free-body diagram of the beam and then making conceptual cuts at specific points to examine the shear...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Dynamic imaging of multiphase flow through porous media using 4D cumulative reconstruction.

Journal of microscopy·2018
Same author

Fast Laplace solver approach to pore-scale permeability.

Physical review. E·2018
Same author

Minkowski tensor shape analysis of cellular, granular and porous structures.

Advanced materials (Deerfield Beach, Fla.)·2011
Same author

Circular dichroism in biological photonic crystals and cubic chiral nets.

Physical review letters·2011
Same author

Tensorial Minkowski functionals and anisotropy measures for planar patterns.

Journal of microscopy·2010
Same author

Boolean reconstructions of complex materials: Integral geometric approach.

Physical review. E, Statistical, nonlinear, and soft matter physics·2010
Same journal

In operando imaging of the space-charge region in a 4H-SiC MOSCAP using STEM-EBIC.

Journal of microscopy·2026
Same journal

The future of DXA: How AI is transforming bone health diagnostics.

Journal of microscopy·2026
Same journal

The Origins of Ploem's Filter Cube: A Pandora's Box.

Journal of microscopy·2026
Same journal

The reproducibility gap in graph neural network workflows for cell dynamics: A checklist-driven case study.

Journal of microscopy·2026
Same journal

Assessing the reproducibility of a bioimage analysis workflow characterising tissue flow in Drosophila.

Journal of microscopy·2026
Same journal

Modular training resources for bioimage analysis.

Journal of microscopy·2026
See all related articles

Related Experiment Video

Updated: Jun 6, 2026

Contrast-Matching Detergent in Small-Angle Neutron Scattering Experiments for Membrane Protein Structural Analysis and Ab Initio Modeling
10:27

Contrast-Matching Detergent in Small-Angle Neutron Scattering Experiments for Membrane Protein Structural Analysis and Ab Initio Modeling

Published on: October 21, 2018

3D structural analysis: sensitivity of Minkowski functionals.

C H Arns1, M A Knackstedt, K Mecke

  • 1School of Petroleum Engineering, University of New South Wales, Sydney, Australia. c.arns@unsw.edu.au

Journal of Microscopy
|November 17, 2010
PubMed
Summary
This summary is machine-generated.

Distortions like drift, noise, and blurring critically impact image quality. This study quantifies these effects on morphological properties using Minkowski functionals, revealing potential errors in measurements.

More Related Videos

Structure and Coordination Determination of Peptide-metal Complexes Using 1D and 2D 1H NMR
14:44

Structure and Coordination Determination of Peptide-metal Complexes Using 1D and 2D 1H NMR

Published on: December 16, 2013

Related Experiment Videos

Last Updated: Jun 6, 2026

Contrast-Matching Detergent in Small-Angle Neutron Scattering Experiments for Membrane Protein Structural Analysis and Ab Initio Modeling
10:27

Contrast-Matching Detergent in Small-Angle Neutron Scattering Experiments for Membrane Protein Structural Analysis and Ab Initio Modeling

Published on: October 21, 2018

Structure and Coordination Determination of Peptide-metal Complexes Using 1D and 2D 1H NMR
14:44

Structure and Coordination Determination of Peptide-metal Complexes Using 1D and 2D 1H NMR

Published on: December 16, 2013

Area of Science:

  • Mathematical Physics
  • Image Analysis
  • Materials Science

Background:

  • Minkowski functionals are complete additive morphological measures derived from the Euler-Poincaré characteristic.
  • These functionals have broad applications in analyzing complex structures.
  • Experimental imaging techniques introduce distortions such as drift, noise, and blurring.

Purpose of the Study:

  • To investigate the critical effects of common distortions on image quality.
  • To quantify how distortions impact morphological properties measured by Minkowski functionals.
  • To understand the relationship between distortion scale and measurement errors.

Main Methods:

  • Utilizing complex random models representative of various structures.
  • Applying Minkowski functionals to assess morphological changes.
  • Defining a length scale via the two-point correlation function to analyze distortion effects at different scales.

Main Results:

  • Distortions significantly alter the morphological properties of complex random models.
  • The magnitude of image quality degradation is dependent on the scale and type of distortion.
  • Quantitative errors in morphological measures arise from distortions at various scales.

Conclusions:

  • Minkowski functionals provide a robust method for assessing image quality degradation due to distortions.
  • Understanding distortion effects is crucial for accurate morphological analysis in imaging.
  • The study highlights the sensitivity of morphological measures to experimental artifacts.