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

Extended Versions of Green’s Theorem01:27

Extended Versions of Green’s Theorem

Green’s Theorem connects the circulation of a vector field around a closed curve with the behavior of the field across the region enclosed by that curve. It provides a way to replace a line integral around a boundary with a double integral over the interior region, making it especially useful in plane geometry, fluid flow, and vector calculus.Although Green’s Theorem is often introduced using simple regions without gaps, it can also be applied to regions made from several simple parts. This...
Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
Green’s Theorem01:27

Green’s Theorem

Green’s Theorem establishes a relationship between a line integral around a closed plane curve and a double integral over the region enclosed by that curve. It applies to a vector field F(x, y) = 〈P(x, y), Q(x, y)〉, where P and Q have continuous first partial derivatives on an open set containing the region.Let C be a positively oriented, simple, closed, piecewise smooth curve, and let R be the plane region bounded by C. Green’s Theorem states that\begin{equation*}\oint_C P\,dx+Q\,dy =\iint_R...
Divergence Theorem in 3D Space01:20

Divergence Theorem in 3D Space

In vector calculus, flux measures the total flow of a vector field through a surface. For a closed surface in three-dimensional space, this means measuring how much of the field passes outward through every point on the boundary. Directly calculating this flux can be difficult when the surface has a complicated or irregular shape. The Divergence Theorem provides a powerful alternative by relating surface flux to behavior inside the enclosed region.The Divergence Theorem states that the outward...
Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

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...
Region of Convergence of Laplace Tarnsform01:20

Region of Convergence of Laplace Tarnsform

The Region of Convergence (ROC) is a fundamental concept in signal processing and system analysis, particularly associated with the Laplace transform. The ROC represents an area in the complex plane where the Laplace transform of a given signal converges, determining the transform's applicability and utility.
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This substitution...

You might also read

Related Articles

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

Sort by
Same author

Blinatumomab bypasses CD28 blockade to sustain T-cell cytotoxicity and improve survival in a xenograft B-ALL model.

Journal for immunotherapy of cancer·2026
Same author

Transcriptomic Comparison of Soybean Roots Inoculated with Different Rhizobium Strains During Early Symbiosis.

Plants (Basel, Switzerland)·2026
Same author

Ex vivo testing of inflatable penile prosthesis in human cadaveric penis with paired in silico model offering surgical and biomechanical insights.

The journal of sexual medicine·2026
Same author

Communication Strategies to Support Self-Advocacy in Transgender Youth With Autism Spectrum Disorder: A Literature Review.

Pediatric annals·2026
Same author

A national survey to explore clinical data and outcome measure collection, storage, and use, within prosthetic rehabilitation services during implementation of the National Health Service England microprocessor controlled prosthetic knee clinical commissioning policy.

Prosthetics and orthotics international·2026
Same author

Why do parents sign their children up for soccer in the United States?

Biology of sport·2026
Same journal

A numerical framework coupling finite element and meshless methods in sequential and parallel simulations.

Finite elements in analysis and design : the international journal of applied finite elements and computer aided engineering·2025
Same journal

A Brief Note on Building Augmented Reality Models for Scientific Visualization.

Finite elements in analysis and design : the international journal of applied finite elements and computer aided engineering·2023
Same journal

Finite elements in analysis and design : the international journal of applied finite elements and computer aided engineering·2012
Same journal

Automated subject-specific, hexahedral mesh generation via image registration.

Finite elements in analysis and design : the international journal of applied finite elements and computer aided engineering·2011
See all related articles

Related Experiment Video

Updated: Jun 14, 2026

Three-Dimensional Reconstruction of Orbital Fractures
08:18

Three-Dimensional Reconstruction of Orbital Fractures

Published on: May 16, 2025

Boundary Recovery For Delaunay Tetrahedral Meshes Using Local Topological Transformations.

Hamid Ghadyani1, John Sullivan, Ziji Wu

  • 1Mechanical Engineering Department, Worcester Polytechnic Institute, 100 Institute Road, Worcester, MA.

Finite Elements in Analysis and Design : the International Journal of Applied Finite Elements and Computer Aided Engineering
|March 23, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces a post-processing algorithm to fix compromised 3D mesh elements and restore boundary surfaces. It carves cavities to repair mesh quality and preserve surface topology, crucial for biomedical applications.

More Related Videos

Measuring Connectivity in the Primary Visual Pathway in Human Albinism Using Diffusion Tensor Imaging and Tractography
13:26

Measuring Connectivity in the Primary Visual Pathway in Human Albinism Using Diffusion Tensor Imaging and Tractography

Published on: August 11, 2016

Reefshape: A System for the Efficient Collection and Automated Processing of Time-Series Underwater Photogrammetry Data for Benthic Habitat Monitoring
13:35

Reefshape: A System for the Efficient Collection and Automated Processing of Time-Series Underwater Photogrammetry Data for Benthic Habitat Monitoring

Published on: June 13, 2025

Related Experiment Videos

Last Updated: Jun 14, 2026

Three-Dimensional Reconstruction of Orbital Fractures
08:18

Three-Dimensional Reconstruction of Orbital Fractures

Published on: May 16, 2025

Measuring Connectivity in the Primary Visual Pathway in Human Albinism Using Diffusion Tensor Imaging and Tractography
13:26

Measuring Connectivity in the Primary Visual Pathway in Human Albinism Using Diffusion Tensor Imaging and Tractography

Published on: August 11, 2016

Reefshape: A System for the Efficient Collection and Automated Processing of Time-Series Underwater Photogrammetry Data for Benthic Habitat Monitoring
13:35

Reefshape: A System for the Efficient Collection and Automated Processing of Time-Series Underwater Photogrammetry Data for Benthic Habitat Monitoring

Published on: June 13, 2025

Area of Science:

  • Computational geometry
  • Mesh generation
  • Biomedical engineering

Background:

  • Existing 3D mesh generation systems struggle with all geometry types, often compromising element quality.
  • Delaunay tetrahedralization, common in 3D meshing, frequently fails to preserve boundary surface topology.
  • Surface topology preservation is critical in biomedical applications with complex, multi-material regions.

Purpose of the Study:

  • To present a post-processing algorithm for optimizing local mesh quality.
  • To recover original boundary surface facets regardless of the initial mesh generation strategy.
  • To address limitations in current 3D mesh generation, particularly for biomedical applications.

Main Methods:

  • Algorithm carves a sub-volume cavity near compromised elements or missing boundary facets.
  • Cavities are patched to seal the volume, recovering surface facets or improving element quality.
  • Employs a recursive search (breath and depth) on active faces to fill cavities with tetrahedrons, optimizing tetrahedral combinations.

Main Results:

  • Successfully restores original internal and external surface boundaries.
  • Improves the quality of compromised mesh regions.
  • Significantly reduces time complexity for mesh repair through a streamlined recursive process.

Conclusions:

  • The developed post-processing method effectively repairs compromised 3D mesh elements and restores boundary surface topology.
  • This algorithm offers a robust solution for mesh quality issues, especially vital for accurate biomedical simulations.
  • The approach enhances the reliability of volume meshes by ensuring geometric fidelity and topological integrity.