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

Deconvolution by thresholding in mirror wavelet bases.

Jérôme Kalifa1, Stéphane Mallat, Bernard Rougé

  • 1Centre de Math. Appliquees, Ecole Polytechnique, Palaiseau, France.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|February 2, 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

IDEA-FAST clinical study protocol: Identifying digital end-points of fatigue, sleep quality and daytime sleepiness in N = 2000.

Digital health·2026
Same author

Artificial intelligence-guided personalized ablation improves freedom from atrial arrhythmia in heart failure: A sub-analysis of the TAILORED-AF trial.

Heart rhythm O2·2026
Same author

Reablation of atrial fibrillation targeting electrogram dispersion in patients with isolated veins: The RESTART trial.

Heart rhythm·2026
Same author

The use of a contact force-sensing very-high-power short-duration radiofrequency catheter leads to significant efficiency improvement for dispersion-based ablation of persistent atrial fibrillation.

Heart rhythm O2·2025
Same author

Women with persistent atrial fibrillation need more than pulmonary vein isolation: personalised extra-pulmonary vein ablation strategy vs. pulmonary vein isolation alone in the TAILORED-AF trial.

Europace : European pacing, arrhythmias, and cardiac electrophysiology : journal of the working groups on cardiac pacing, arrhythmias, and cardiac cellular electrophysiology of the European Society of Cardiology·2025
Same author

Targetable atrial tachycardias after artificial intelligence-guided ablation of persistent atrial fibrillation.

Heart rhythm·2025
Same journal

Style-Aware Contrastive Test-Time Adaptation: A Dual-Cache Model for Robust Vision-Language Alignment.

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

Semantic Frame Interpolation.

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

Physics-Guided Cross-Modal Decoupling with Test-Time Adaptation for Hyperspectral Image Restoration.

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

Change-Prior-Guided Unsupervised Change Detection of Heterogeneous Remote Sensing Images.

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

AgonicDreamer: Enhancing Multi-View Consistency in Text-to-3D Generation via Rectified Score Distillation.

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

BiCM-Prompt: Bidirectional Cross-Modal Prompt Tuning for Class-Incremental Learning on Multisource Remote Sensing Images.

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

This study introduces a new mirror wavelet basis for signal deconvolution, improving accuracy for blurred images. This method minimizes estimation risk, outperforming traditional wavelet bases in specific applications like satellite image restoration.

Area of Science:

  • Signal processing
  • Image restoration
  • Applied mathematics

Background:

  • Signal deconvolution is crucial for image restoration.
  • Traditional thresholding estimators using orthonormal bases have limitations.
  • Wavelet bases are suboptimal for signals blurred by low-pass filters.

Purpose of the Study:

  • To develop a general criterion for selecting orthonormal bases to minimize estimation risk in deconvolution.
  • To construct a novel orthonormal basis for improved deconvolution of low-pass filtered signals.
  • To demonstrate the application of the new basis in satellite image restoration.

Main Methods:

  • Signal decomposition using orthonormal bases and coefficient thresholding.
  • Development of a risk minimization criterion for basis selection.

Related Experiment Videos

  • Construction and application of a new mirror wavelet basis.

    • Main Results:

    • A general criterion for optimal orthonormal basis selection was established.
    • Mirror wavelet bases significantly reduce estimation risk for specific deconvolution tasks.
    • Wavelet bases were shown to be suboptimal for restoring images blurred by filters with vanishing high-frequency transfer functions.

    Conclusions:

    • The proposed mirror wavelet basis offers superior performance for deconvolution of low-pass filtered signals compared to standard wavelet bases.
    • The developed criterion provides a systematic approach to basis selection for deconvolution tasks.
    • The method shows practical utility in restoring degraded satellite imagery.