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

Blind image deconvolution using a robust GCD approach.

S U Pillai, B Liang

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
    |February 13, 2008
    PubMed
    Summary
    This summary is machine-generated.

    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

    Deep learning for visceral pleural invasion in non-small cell lung cancer.

    Clinical radiology·2026
    Same author

    [MRI-based deep learning model for preoperative prediction of urothelial carcinoma with variant histology of bladder: a retrospective, multicenter study].

    Zhonghua wai ke za zhi [Chinese journal of surgery]·2026
    Same author

    [Association of dynapenic abdominal obesity and cognitive impairment in middle-aged and older adults in China].

    Zhonghua liu xing bing xue za zhi = Zhonghua liuxingbingxue zazhi·2026
    Same author

    [Incidence and clinical characteristics of transmural colitis after concurrent preventive ostomy in radical rectal cancer surgery].

    Zhonghua wei chang wai ke za zhi = Chinese journal of gastrointestinal surgery·2026
    Same author

    [A comparative study on the application of DeepSeek-R1 and ChatGPT in multidisciplinary treatment decision-making for advanced gastric cancer].

    Zhonghua wei chang wai ke za zhi = Chinese journal of gastrointestinal surgery·2026
    Same author

    [Study of association of central obesity and pain with frailty in middle-aged and old people in China].

    Zhonghua liu xing bing xue za zhi = Zhonghua liuxingbingxue zazhi·2025
    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
    Same journal

    BayeTopo: Bayesian-based Topology-guided Learning for Vascular Imaging Segmentation.

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

    This study introduces a novel method for blind image deconvolution, treating images as polynomial divisors. The approach robustly estimates original images from distorted, noisy versions using a 2-D GCD algorithm.

    Area of Science:

    • Signal Processing
    • Image Restoration
    • Computational Mathematics

    Background:

    • Blind deconvolution aims to recover an image from its distorted and noisy versions without prior knowledge of the distortion.
    • Traditional methods often fail due to noise sensitivity and the complexity of estimating distortion functions.
    • The z-domain representation allows viewing image estimation as a polynomial divisor problem.

    Discussion:

    • The proposed method reframes blind deconvolution as finding the greatest common polynomial divisor (GCD) among distorted images.
    • It utilizes a robust interpolative 2-D GCD algorithm derived from a 1-D Sylvester-type method.
    • This approach avoids the pitfalls of exact GCD, which is sensitive to noise and quantization errors.

    Key Insights:

    • A novel viewpoint for blind image deconvolution using polynomial GCD in the z-domain.

    Related Experiment Videos

  • Development of a robust interpolative 2-D GCD algorithm for image estimation.
  • Demonstrated computational efficiency and moderate noise robustness in experiments.

    • Outlook:

    • Potential for improved image restoration in various applications, including medical imaging and surveillance.
    • Further research could explore extensions to different types of distortions and noise models.
    • Adaptation of the algorithm for real-time image processing applications.