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

Equipotential Surfaces and Field Lines01:29

Equipotential Surfaces and Field Lines

5.0K
Electric potential can be pictorially represented as a three-dimensional surface. On such a surface, the electric potential is constant everywhere. The equipotential surface is always perpendicular to the electric field lines, and while it is three-dimensional, it can be treated as an equipotential line in a two-dimensional case. These equipotential lines are also always perpendicular to electric field lines. The term equipotential is often used as a noun, referring to an equipotential line or...
5.0K
Electric Field at the Surface of a Conductor01:26

Electric Field at the Surface of a Conductor

5.4K
Consider a conductor in electrostatic equilibrium. The net electric field inside a conductor vanishes, and extra charges on the conductor reside on its outer surface, regardless of where they originate.
In the 19th century, Michael Faraday conducted the famous ice pail experiment to prove that the charges always reside on the surface of a conductor. The experimental set-up consists of a conducting uncharged container mounted on an insulating stand. The outer surface of the container is...
5.4K
Inertia Tensor01:24

Inertia Tensor

1.2K
The concept of the inertia tensor is employed to depict the mass distribution and rotational inertia of a solid or rigid object. This tensor is expressed through a three-by-three matrix. Each component within this matrix corresponds to varying moments of inertia about specific axes.
The diagonal components of the inertia tensor matrix represent the moments of inertia concerning the principal axes of the object. These primary axes are defined as the axes where the object experiences the least...
1.2K
Linear time-invariant Systems01:23

Linear time-invariant Systems

931
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
931
Space Trusses01:25

Space Trusses

1.3K
A space truss is a three-dimensional counterpart of a planar truss. These structures consist of members connected at their ends, often utilizing ball-and-socket joints to create a stable and versatile framework. The space truss is widely used in various construction projects due to its adaptability and capacity to withstand complex loads.
At the core of a space truss lies the fundamental unit known as the tetrahedron. This structure is composed of six members that form a three-dimensional shape...
1.3K
State Space Representation01:27

State Space Representation

583
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
583

You might also read

Related Articles

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

Sort by
Same author

Corrigendum to "Physics audited and uncertainty aware surrogate modeling for reactive nitrate transport in groundwater" [Sci. Total Environ. 1044 (2026) 181942].

The Science of the total environment·2026
Same author

Physics audited and uncertainty aware surrogate modeling for reactive nitrate transport in groundwater.

The Science of the total environment·2026
Same author

Paleo-salt water dominates coastal aquifer salinization: A continental-scale study in China.

Science advances·2026
Same author

Stochastic poromechanical analysis forecasts a notable exceedance probability for the 2017 Pohang, South Korea, <i>M</i> <sub>w</sub> 5.5 earthquake.

Communications earth & environment·2026
Same author

Beyond decoration: free-standing lace embroidery for 3D shaped surgical mesh implants.

Scientific reports·2026
Same author

LAMDA: Aiding Visual Exploration of Atomic Displacements in Molecular Dynamics Simulations.

IEEE transactions on visualization and computer graphics·2026

Related Experiment Video

Updated: Feb 5, 2026

Automated Charting of the Visual Space of Housefly Compound Eyes
08:34

Automated Charting of the Visual Space of Housefly Compound Eyes

Published on: March 31, 2022

2.3K

Tensor Field Visualization using Fiber Surfaces of Invariant Space.

Felix Raith, Christian Blecha, Thomas Nagel

    IEEE Transactions on Visualization and Computer Graphics
    |September 4, 2018
    PubMed
    Summary

    This study introduces a novel method for visualizing complex tensor fields, crucial for engineering applications. The new approach generates separating surfaces, enhancing the understanding of three-dimensional symmetric, second-order tensor data.

    More Related Videos

    Diffusion Tensor Magnetic Resonance Imaging in Chronic Spinal Cord Compression
    07:00

    Diffusion Tensor Magnetic Resonance Imaging in Chronic Spinal Cord Compression

    Published on: May 7, 2019

    9.4K
    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

    12.7K

    Related Experiment Videos

    Last Updated: Feb 5, 2026

    Automated Charting of the Visual Space of Housefly Compound Eyes
    08:34

    Automated Charting of the Visual Space of Housefly Compound Eyes

    Published on: March 31, 2022

    2.3K
    Diffusion Tensor Magnetic Resonance Imaging in Chronic Spinal Cord Compression
    07:00

    Diffusion Tensor Magnetic Resonance Imaging in Chronic Spinal Cord Compression

    Published on: May 7, 2019

    9.4K
    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

    12.7K

    Area of Science:

    • Scientific Visualization
    • Computational Mechanics
    • Data Analysis

    Background:

    • Scalar and vector field visualization techniques are well-established.
    • Effective interactive visualization methods for tensor fields remain a significant challenge in scientific visualization.
    • Despite advancements, visualizing symmetric, second-order, three-dimensional tensor fields requires improved approaches.

    Purpose of the Study:

    • To present a general and effective approach for generating separating surfaces in three-dimensional tensor fields.
    • To generalize existing fiber surface algorithms to three dimensions for tensor field analysis.
    • To enable interactive visualization of complex tensor data for scientific and engineering applications.

    Main Methods:

    • Definition of separating surfaces as fiber surfaces within the invariant space of tensor fields.
    • Development of a generalized fiber surface algorithm applicable to the three-dimensional invariant space of symmetric, second-order tensors.
    • Implementation of a surface construction algorithm for simplicial grids and simplicial surfaces.

    Main Results:

    • Successful generation of separating surfaces for three-dimensional symmetric, second-order tensor fields.
    • Demonstration of the approach's applicability to real-world engineering problems, specifically stress fields in component design.
    • Validation of the generalized algorithm's effectiveness in visualizing complex tensor data.

    Conclusions:

    • The proposed method provides a robust framework for the interactive visualization of tensor fields.
    • This technique advances the field of scientific visualization by addressing limitations in tensor field representation.
    • The application to mechanical engineering stress fields highlights the practical utility and potential impact of this novel visualization approach.