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

Finding Volume Using Cross-Sectional Area01:24

Finding Volume Using Cross-Sectional Area

208
For solids whose cross-sectional areas vary in a predictable way, volume can be determined by integrating these areas along an axis perpendicular to the slices. This approach is particularly useful for polyhedral solids, where classical geometric formulas may not be immediately applicable. A tetrahedron provides a clear example of how cross-sectional integration can be applied to a three-dimensional object with continuously changing geometry.Consider a tetrahedron with height h and a base that...
208
Uniform Depth Channel Flow01:27

Uniform Depth Channel Flow

741
Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
741
Calculation of Volume of Solids by Integration01:27

Calculation of Volume of Solids by Integration

266
Volume calculation often begins with simple geometric solids. For example, the volume of a rectangular box is obtained by multiplying the area of its base by its height. This straightforward approach relies on the fact that the cross-sectional area of the box remains constant throughout its length. Many real-world objects, however, do not have uniform cross-sections, and their volumes cannot be determined using elementary geometric formulas.To address this limitation, the Slicing Method...
266
Line, Surface, and Volume Integrals01:15

Line, Surface, and Volume Integrals

4.7K
A line integral for a vector field is defined as the integral of the dot product of a vector function with an infinitesimal displacement vector along a prescribed path. If the prescribed path is closed, the integrals reduce to a closed-line integral. The closed-contour integral of the vector field is referred to in terms of the circulation of the vector field around the closed path. A vector with zero circulation around every closed path is called a conservative field, while one with non-zero...
4.7K
Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

610
To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
610
Computed Tomography01:10

Computed Tomography

9.5K
Tomography refers to imaging by sections. Computed tomography (CT) is a non-invasive imaging technique that uses computers to analyze several cross-sectional X-rays to reveal minute details about structures in the body.
The technique was invented in the 1970s and is based on the principle that as X-rays pass through the body, they are absorbed or reflected at different levels. In the technique, a patient lies on a motorized platform while a computerized axial tomography (CAT) scanner rotates...
9.5K

You might also read

Related Articles

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

Sort by
Same author

Interactive Exploration of Big Scientific Data: New Representations and Techniques.

IEEE computer graphics and applications·2017
See all related articles

Related Experiment Video

Updated: Mar 27, 2026

Using High Resolution Computed Tomography to Visualize the Three Dimensional Structure and Function of Plant Vasculature
11:49

Using High Resolution Computed Tomography to Visualize the Three Dimensional Structure and Function of Plant Vasculature

Published on: April 5, 2013

21.9K

Interactive Isogeometric Volume Visualization with Pixel-Accurate Geometry.

Franz G Fuchs, Jon M Hjelmervik

    IEEE Transactions on Visualization and Computer Graphics
    |January 6, 2016
    PubMed
    Summary

    Isogeometric analysis (IGA) enables unified product design and analysis. This study introduces a novel visualization method for IGA results, ensuring pixel-accurate geometry for industrial applications.

    More Related Videos

    Extracting Metrics for Three-dimensional Root Systems: Volume and Surface Analysis from In-soil X-ray Computed Tomography Data
    09:37

    Extracting Metrics for Three-dimensional Root Systems: Volume and Surface Analysis from In-soil X-ray Computed Tomography Data

    Published on: April 26, 2016

    9.0K
    Voxel Printing Anatomy: Design and Fabrication of Realistic, Presurgical Planning Models through Bitmap Printing
    11:36

    Voxel Printing Anatomy: Design and Fabrication of Realistic, Presurgical Planning Models through Bitmap Printing

    Published on: February 9, 2022

    3.3K

    Related Experiment Videos

    Last Updated: Mar 27, 2026

    Using High Resolution Computed Tomography to Visualize the Three Dimensional Structure and Function of Plant Vasculature
    11:49

    Using High Resolution Computed Tomography to Visualize the Three Dimensional Structure and Function of Plant Vasculature

    Published on: April 5, 2013

    21.9K
    Extracting Metrics for Three-dimensional Root Systems: Volume and Surface Analysis from In-soil X-ray Computed Tomography Data
    09:37

    Extracting Metrics for Three-dimensional Root Systems: Volume and Surface Analysis from In-soil X-ray Computed Tomography Data

    Published on: April 26, 2016

    9.0K
    Voxel Printing Anatomy: Design and Fabrication of Realistic, Presurgical Planning Models through Bitmap Printing
    11:36

    Voxel Printing Anatomy: Design and Fabrication of Realistic, Presurgical Planning Models through Bitmap Printing

    Published on: February 9, 2022

    3.3K

    Area of Science:

    • Computer Graphics
    • Scientific Visualization
    • Computational Engineering

    Background:

    • Isogeometric analysis (IGA) integrates design and analysis but poses visualization challenges for traditional methods.
    • Existing volume rendering techniques are incompatible with the complex geometry generated by IGA.
    • Accurate visualization is crucial for inspecting simulation results in industrial product development.

    Purpose of the Study:

    • To develop an interactive visualization approach for isogeometric analysis (IGA) results.
    • To ensure pixel-accurate geometric representation of volumes and bounding surfaces in IGA visualizations.
    • To demonstrate the applicability of the novel method across various industrial simulation scenarios.

    Main Methods:

    • A multi-stage algorithm utilizing the full OpenGL pipeline.
    • Integration of surface rendering and order-independent transparency techniques.
    • Application of ordinary differential equation numerical methods for accurate geometric handling.

    Main Results:

    • Successful interactive visualization of isogeometric analysis results with precise geometry.
    • Demonstration of efficiency on diverse industrial models, including quality inspection and stress analysis.
    • Validation of the approach for computational fluid dynamics (CFD) data visualization.

    Conclusions:

    • The proposed method effectively visualizes isogeometric analysis results with high geometric fidelity.
    • This novel approach enhances the inspection and analysis of complex industrial simulations.
    • The technique offers a robust solution for interactive visualization in engineering design and analysis.