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

You might also read

Related Articles

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

Sort by
Same author

High-efficiency terahertz beam scanning based on topologically optimized freestanding metasurfaces.

Optics letters·2025
Same author

Terahertz Multi-State Reconfigurable Holographic Metasurface Based on Full-Stokes Magnetic Eigen-Modulation of Photonic Weyl Semimetal.

Advanced materials (Deerfield Beach, Fla.)·2025
Same author

Robust terahertz polarization analysis based on a unit-scale polarization-multiplexed metasurface.

Optics letters·2025
Same author

KKANs: Ku̇rková-Kolmogorov-Arnold networks and their learning dynamics.

Neural networks : the official journal of the International Neural Network Society·2025
Same author

Broadband large-angle beam scanning with dynamic spin energy distribution based on liquid crystal cascaded bilayer metasurface.

Nanophotonics (Berlin, Germany)·2024
Same author

Flexible terahertz phase shifter for optically controlled polydimethylsiloxane-vanadium dioxide composite film.

Optics express·2024

Related Experiment Video

Updated: Mar 8, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.8K

Generalizing Mumford-Shah Model for Multiphase Piecewise Smooth Image Segmentation.

Ying Gu, Wei Xiong, Li-Lian Wang

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
    |January 24, 2017
    PubMed
    Summary

    This study introduces a modified Mumford-Shah (MS) model for multiphase image segmentation, addressing intensity inhomogeneities. The new framework uses smoothing operators for more efficient and accurate segmentation, improving upon traditional methods.

    More Related Videos

    Evaporation-reducing Culture Condition Increases the Reproducibility of Multicellular Spheroid Formation in Microtiter Plates
    11:24

    Evaporation-reducing Culture Condition Increases the Reproducibility of Multicellular Spheroid Formation in Microtiter Plates

    Published on: March 7, 2017

    7.4K
    Automated Midline Shift and Intracranial Pressure Estimation based on Brain CT Images
    14:08

    Automated Midline Shift and Intracranial Pressure Estimation based on Brain CT Images

    Published on: April 13, 2013

    43.7K

    Related Experiment Videos

    Last Updated: Mar 8, 2026

    Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
    13:44

    Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

    Published on: August 30, 2013

    43.8K
    Evaporation-reducing Culture Condition Increases the Reproducibility of Multicellular Spheroid Formation in Microtiter Plates
    11:24

    Evaporation-reducing Culture Condition Increases the Reproducibility of Multicellular Spheroid Formation in Microtiter Plates

    Published on: March 7, 2017

    7.4K
    Automated Midline Shift and Intracranial Pressure Estimation based on Brain CT Images
    14:08

    Automated Midline Shift and Intracranial Pressure Estimation based on Brain CT Images

    Published on: April 13, 2013

    43.7K

    Area of Science:

    • Computer Vision
    • Image Processing
    • Computational Mathematics

    Background:

    • Multiphase image segmentation is challenging due to intensity inhomogeneities.
    • Traditional Mumford-Shah (MS) models involve complex diffusion equations and difficult implementations, especially for multiphase scenarios.

    Purpose of the Study:

    • To propose a generalized framework for modifying the MS model for improved multiphase image segmentation.
    • To develop an efficient algorithm for solving the modified MS model.

    Main Methods:

    • Modification of the Mumford-Shah model using smoothing operators (Gaussian, bilateral, directional diffusion kernels).
    • Development of an efficient direct augmented Lagrangian method for minimization, requiring fewer parameters.
    • Analysis of the connection between smoothing operators and diffusion equations.

    Main Results:

    • The modified MS model effectively handles multiphase piecewise smooth image segmentation with intensity inhomogeneities.
    • The proposed direct augmented Lagrangian algorithm demonstrates efficiency and accuracy.
    • Numerical results confirm the superiority of the modified model and algorithm compared to existing approaches.

    Conclusions:

    • The proposed framework offers a more efficient and accurate approach to multiphase image segmentation.
    • The direct augmented Lagrangian method provides a robust and parameter-efficient solution.
    • Smoothing operators offer a viable alternative for simplifying MS model implementations.