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

Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

379
When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
379
Bending of Curved Members - Neutral Surface01:16

Bending of Curved Members - Neutral Surface

377
In curved beams, unlike straight beams, the stress distribution across the cross-section is not uniform due to the beam's curvature. This non-uniformity arises because the neutral axis, where stress is zero, does not align with the centroid of the section. In a curved beam, the strain varies along the section as a function of the distance from the neutral axis.
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within the...
377
Mesh Analysis01:20

Mesh Analysis

1.2K
Mesh analysis is a valuable method for simplifying circuit analysis using mesh currents as key circuit variables. Unlike nodal analysis, which focuses on determining unknown voltages, mesh analysis applies Kirchhoff's voltage law (KVL) to find unknown currents within a circuit. This method is particularly convenient in reducing the number of simultaneous equations that need to be solved.
A fundamental concept in mesh analysis is the definition of meshes and mesh currents. A mesh is a closed...
1.2K
Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

456
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...
456
Bending of Curved Members - Strain Analysis01:14

Bending of Curved Members - Strain Analysis

378
The mechanics of deformation in curved members, such as beams or arches, under bending moments, involve complex responses. When such a member, symmetric about the y-axis and shaped like a segment of a circle centered at point C, is subjected to equal and opposite forces, its curvature and surface lengths change significantly. This alteration results in the shift of the curvature's center from C to C', indicating a tighter curve.
The important part of bending analysis for such a member...
378

You might also read

Related Articles

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

Sort by
Same author

Mindset against burnout? A cross-lagged mediation analysis of growth language mindset, learning engagement, and foreign language learning burnout.

BMC psychology·2026
Same author

Effect of ventricular wall dyskinesia mode in Neurogenic Stress Cardiomyopathy (NSC) on clinical hemodynamic management.

International journal of cardiology·2026
Same author

Beyond benchmarks of IUGC: Rethinking requirements of deep learning method for intrapartum ultrasound biometry from fetal ultrasound videos.

Medical image analysis·2026
Same author

Chronic pain and risk of cognitive impairment: a meta-analysis of longitudinal cohort studies.

Translational psychiatry·2026
Same author

Phase Engineering on Metastable Lanthanoid Sulfides for Polymorphic Nanocrystal Library.

Angewandte Chemie (International ed. in English)·2026
Same author

Melatonin Improves Diabetic-Accelerated Experimental Osteoarthritis by Inhibiting NLRP3-Mediated Chondrocyte Pyroptosis via PKG/Nrf2.

Journal of pineal research·2026
Same journal

Computational modelling distinguishes diverse contributors to aneurysmal progression in the Marfan aorta.

Proceedings. Mathematical, physical, and engineering sciences·2025
Same journal

Inferring the shape of data: a probabilistic framework for analysing experiments in the natural sciences.

Proceedings. Mathematical, physical, and engineering sciences·2023
Same journal

The Elbert range of magnetostrophic convection. I. Linear theory.

Proceedings. Mathematical, physical, and engineering sciences·2022
Same journal

Soft wetting with (a)symmetric Shuttleworth effect.

Proceedings. Mathematical, physical, and engineering sciences·2022
Same journal

The quantum theory of time: a calculus for q-numbers.

Proceedings. Mathematical, physical, and engineering sciences·2022
Same journal

Integrable nonlinear evolution equations in three spatial dimensions.

Proceedings. Mathematical, physical, and engineering sciences·2022
See all related articles

Related Experiment Video

Updated: Nov 29, 2025

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration
05:05

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration

Published on: November 23, 2019

8.3K

Shape analysis via inconsistent surface registration.

Gary P T Choi1,2, Di Qiu3, Lok Ming Lui3

  • 1John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA.

Proceedings. Mathematical, Physical, and Engineering Sciences
|November 23, 2020
PubMed
Summary
This summary is machine-generated.

This study introduces a novel framework for shape analysis using inconsistent surface mapping, overcoming limitations of traditional methods. The approach enables accurate shape comparison and classification by analyzing anatomical surfaces without assuming global correspondence.

Keywords:
geometric morphometricsinconsistent shape matchingquasi-conformal mapshape classification

More Related Videos

Determination of Aggregate Surface Morphology at the Interfacial Transition Zone ITZ
08:59

Determination of Aggregate Surface Morphology at the Interfacial Transition Zone ITZ

Published on: December 16, 2019

8.5K
Three-Dimensional Shape Modeling and Analysis of Brain Structures
05:33

Three-Dimensional Shape Modeling and Analysis of Brain Structures

Published on: November 14, 2019

7.4K

Related Experiment Videos

Last Updated: Nov 29, 2025

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration
05:05

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration

Published on: November 23, 2019

8.3K
Determination of Aggregate Surface Morphology at the Interfacial Transition Zone ITZ
08:59

Determination of Aggregate Surface Morphology at the Interfacial Transition Zone ITZ

Published on: December 16, 2019

8.5K
Three-Dimensional Shape Modeling and Analysis of Brain Structures
05:33

Three-Dimensional Shape Modeling and Analysis of Brain Structures

Published on: November 14, 2019

7.4K

Area of Science:

  • Computational geometry
  • Biomedical imaging
  • Morphometrics

Background:

  • Traditional geometric morphometrics (GM) methods are limited by degrees of freedom.
  • Advanced non-rigid surface mapping methods often assume global surface consistency, which is not always practical for anatomical data.

Purpose of the Study:

  • To develop a flexible framework for shape analysis using inconsistent surface mapping.
  • To enable automatic detection of relevant surface parts and optimal landmark-matching alignment without assuming global correspondence.
  • To provide a quantitative measure of shape dissimilarity for classification.

Main Methods:

  • Inconsistent surface registration based on quasi-conformal theory.
  • Quantification of shape dissimilarity using quasi-conformal distortion.
  • Analysis of differences in mean and Gaussian curvatures.

Main Results:

  • The developed framework effectively handles inconsistent surface mapping for shape analysis.
  • Quasi-conformal distortion and curvature differences provide a natural basis for shape classification.
  • Experiments on Platyrrhine molars demonstrate the method's effectiveness.

Conclusions:

  • The proposed method offers a robust alternative to traditional GM and rigid surface mapping.
  • It facilitates a deeper understanding of the relationship between shape and function in biological structures.
  • This approach advances shape analysis for complex anatomical surfaces.