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 Experiment Videos

Bayesian learning of sparse multiscale image representations.

James Michael Hughes, Daniel N Rockmore, Yang Wang

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
    |September 5, 2013
    PubMed
    Summary
    This summary is machine-generated.

    Related Concept Videos

    State Space Representation01:27

    State Space Representation

    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...
    Upsampling01:22

    Upsampling

    Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...

    You might also read

    Related Articles

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

    Sort by
    Same author

    Methodology for supervised optimization of the construction of physician shared-patient networks.

    Statistical methods in medical research·2025
    Same author

    Estimating the impact of physician risky-prescribing on the network structure underlying physician shared-patient relationships.

    Applied network science·2024
    Same author

    Exploiting relationship directionality to enhance statistical modeling of peer-influence across social networks.

    Statistics in medicine·2024
    Same author

    Estimating the impact of physician risky-prescribing on the network structure underlying physician shared-patient relationships.

    Research square·2024
    Same author

    Judicial hierarchy and discursive influence.

    Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2024
    Same author

    Complex systems of secrecy: the offshore networks of oligarchs.

    PNAS nexus·2023
    Same journal

    Mask-guided Asymmetric Contrastive and Semantic Alignment for Unsupervised Person Re-Identification.

    IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
    Same journal

    Hyperbolic Cycle Alignment for Infrared-Visible Image Fusion.

    IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
    Same journal

    Learning Gaze Synthesizer via 3D-eye Controlled Diffusion and Cross-domain Feature Alignment.

    IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
    Same journal

    Underlying Semantic Diffusion for Effective and Efficient In-Context Learning.

    IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
    Same journal

    DiffRES: Unleashing Text-to-Image Diffusion Models for Generative Referring Expression Segmentation without Information Leakage.

    IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
    Same journal

    Location Matters: Frequency-Spatial Dual Space Adaptation for Cross-Domain Few-Shot Segmentation.

    IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
    See all related articles

    This study introduces a novel Bayesian multiscale dictionary learning model. It enables sharing learned dictionary atoms across all scales for improved image denoising and analysis.

    Area of Science:

    • Computer Vision
    • Image Processing
    • Statistical Modeling

    Background:

    • Multiscale image representations offer advantages over fixed-scale methods for tasks like denoising and compression.
    • Existing adaptive sparse representation techniques show promise but lack rigorous statistical formulation for multiscale applications.
    • Previous multiscale dictionary learning attempts have yielded encouraging but modest results, often failing to share information across scales.

    Purpose of the Study:

    • To develop a statistically rigorous Bayesian model for multiscale dictionary learning.
    • To enable the sharing and learning of dictionary atoms across different scales.
    • To improve image processing tasks, particularly denoising, by leveraging shared multiscale representations.

    Main Methods:

    Related Experiment Videos

  • Decomposing input images into a frequency band pyramid using recursive filtering.
  • Performing dictionary learning and sparse coding on individual pyramid levels.
  • Utilizing a fully Bayesian statistical model for parameter inference, including noise levels.
  • Main Results:

    • The proposed model successfully learns a single set of dictionary atoms shared across all scales.
    • Demonstrated effective application to various image processing problems, including non-Gaussian and nonstationary denoising.
    • Achieved improved performance in denoising real-world color images.

    Conclusions:

    • The developed Bayesian multiscale dictionary learning framework offers a robust approach to image analysis.
    • Sharing dictionary atoms across scales enhances representation power and processing performance.
    • The model provides efficient parameter inference, making it suitable for practical denoising applications.