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

Piecewise-Defined Functions01:28

Piecewise-Defined Functions

438
Piecewise defined functions are mathematical models where different expressions define a function over distinct intervals of the domain. These functions are useful for representing systems with varying behaviors depending on input values.For example, the function:  uses a linear rule for inputs less than or equal to –1 and a quadratic rule for values greater than –1. Although it has two formulas, it still defines a single function.Another common type is the absolute value...
438
Vector Algebra: Method of Components01:08

Vector Algebra: Method of Components

20.5K
It is cumbersome to find the magnitudes of vectors using the parallelogram rule or using the graphical method to perform mathematical operations like addition, subtraction, and multiplication. There are two ways to circumvent this algebraic complexity. One way is to draw the vectors to scale, as in navigation, and read approximate vector lengths and angles (directions) from the graphs. The other way is to use the method of components.
In many applications, the magnitudes and directions of...
20.5K
Mesh Analysis01:20

Mesh Analysis

1.7K
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...
1.7K
Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

665
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...
665
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

420
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
420
Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

456
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...
456

You might also read

Related Articles

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

Sort by
Same author

Trends in methicillin-resistant Staphylococcus aureus detection-rates and antibiotic resistance profiles in a cancer hospital from 2015 to 2024.

BMC infectious diseases·2026
Same author

Gut dysbiosis modulates hyperoxia-induced bronchopulmonary dysplasia by promoting EMT through activating TLR4/NF-κB pathway.

Molecular medicine (Cambridge, Mass.)·2026
Same author

Clinician Perspectives of Oxygen Control in Children With Bronchopulmonary Dysplasia at Home: An International Survey of Clinicians From 44 Countries.

Journal of paediatrics and child health·2026
Same author

Cell-free DNA methylation biomarkers for the early detection and tumor burden monitoring of gastric cancer.

NPJ precision oncology·2026
Same author

Rapid HPLC-DAD and Chemometric Discrimination of Raw Dark Tea from Three Specific Mountain Origins Within Anhua.

Foods (Basel, Switzerland)·2026
Same author

Preclinical evaluation of <sup>89</sup>Zr/<sup>177</sup>Lu/<sup>161</sup>Tb-labeled anti-CD228 monoclonal antibody for theranostics in skin cutaneous melanoma.

European journal of pharmaceutics and biopharmaceutics : official journal of Arbeitsgemeinschaft fur Pharmazeutische Verfahrenstechnik e.V·2026
Same journal

MesoSplats: Texture Synthesis with Gaussian Splatting.

IEEE transactions on visualization and computer graphics·2026
Same journal

GLLA: A Unified Force-Directed Graph Layout Framework Supporting Local Adjustments.

IEEE transactions on visualization and computer graphics·2026
Same journal

Multi-Perception Crowd: Learning to combine entity and implicit perception for diverse crowd simulation.

IEEE transactions on visualization and computer graphics·2026
Same journal

Hiding in Plain Sight: Camouflaging Real-world Objects.

IEEE transactions on visualization and computer graphics·2026
Same journal

RTF2Mesh: Restricted Tangent Face Based Mesh Compression With Neural Displacement Fields.

IEEE transactions on visualization and computer graphics·2026
Same journal

Practical Occluder Generation for Mobile Games.

IEEE transactions on visualization and computer graphics·2026
See all related articles

Related Experiment Video

Updated: Apr 4, 2026

High-speed Particle Image Velocimetry Near Surfaces
11:59

High-speed Particle Image Velocimetry Near Surfaces

Published on: June 24, 2013

34.0K

Variational Mesh Denoising Using Total Variation and Piecewise Constant Function Space.

Huayan Zhang, Chunlin Wu, Juyong Zhang

    IEEE Transactions on Visualization and Computer Graphics
    |September 11, 2015
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel variational mesh denoising method using total variation and piecewise constant functions. The approach effectively removes noise while preserving sharp features and preventing false edges in 3D meshes.

    More Related Videos

    Meso-Scale Particle Image Velocimetry Studies of Neurovascular Flows In Vitro
    08:00

    Meso-Scale Particle Image Velocimetry Studies of Neurovascular Flows In Vitro

    Published on: December 3, 2018

    8.9K

    Related Experiment Videos

    Last Updated: Apr 4, 2026

    High-speed Particle Image Velocimetry Near Surfaces
    11:59

    High-speed Particle Image Velocimetry Near Surfaces

    Published on: June 24, 2013

    34.0K
    Meso-Scale Particle Image Velocimetry Studies of Neurovascular Flows In Vitro
    08:00

    Meso-Scale Particle Image Velocimetry Studies of Neurovascular Flows In Vitro

    Published on: December 3, 2018

    8.9K

    Area of Science:

    • Computer Graphics
    • Geometry Processing
    • Numerical Analysis

    Background:

    • Mesh surface denoising is crucial in geometry processing.
    • Key challenges include noise removal while preserving sharp features and avoiding false edge generation.

    Purpose of the Study:

    • To develop a robust variational mesh denoising method.
    • To combine Total Variation (TV) with piecewise constant function spaces for enhanced denoising.

    Main Methods:

    • Definitions of piecewise constant function spaces and associated operators.
    • A variational mesh denoising method integrating TV and piecewise constant functions.
    • An efficient iterative algorithm based on variable splitting and augmented Lagrangian for solving the variational problem.

    Main Results:

    • The proposed method demonstrates robustness to parameter perturbations.
    • Experimental results show superior performance over existing methods for both CAD and non-CAD meshes.
    • The method effectively preserves features at various levels and minimizes false edge creation.

    Conclusions:

    • The combined TV and piecewise constant function space approach offers effective mesh denoising.
    • The proposed iterative algorithm provides an efficient solution with closed-form steps.
    • This method presents a significant advancement in preserving mesh integrity during denoising.