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

A general method for three-dimensional filter computation.

B Schorr, D Townsend, R Clack

    Physics in Medicine and Biology
    |September 1, 1983
    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

    3-year incidence and predictors of metabolic syndrome in schizophrenia in the national FACE-SZ cohort.

    Progress in neuro-psychopharmacology & biological psychiatry·2022
    Same author

    A quality improvement study: Optimizing pneumococcal vaccination rates in children with cochlear implants.

    Vaccine·2022
    Same author

    Thermal desorption effects on fragment ion production from multi-photon ionized uridine and selected analogues.

    RSC advances·2022
    Same author

    Detection of asymptomatic carotid stenosis in patients with lower-extremity arterial disease: development and external validations of a risk score.

    The British journal of surgery·2021
    Same author

    A new technique for probing chirality via photoelectron circular dichroism.

    Analytica chimica acta·2017
    Same author

    Dynamic damage in carbon-fibre composites.

    Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2016
    Same journal

    Deep learning-based dose prediction to enhance planning efficiency in cervical brachytherapy with hybrid applicators.

    Physics in medicine and biology·2026
    Same journal

    Corrigendum: Referenceless MR thermometry-a comparison of five methods (2017<i>Phys. Med. Biol</i>.<b>62</b>1-16).

    Physics in medicine and biology·2026
    Same journal

    Corrigendum: Measured and Monte Carlo simulated electron backscatter to the monitor chamber for the varian TrueBeam linac (2016<i>Phys. Med. Biol</i>.<b>61</b>8779).

    Physics in medicine and biology·2026
    Same journal

    Corrigendum: 3D range-modulator for scanned particle therapy: development, Monte Carlo simulations and experimental evaluation (2017<i>Phys. Med. Biol</i>.<b>62</b>7075).

    Physics in medicine and biology·2026
    Same journal

    Recent progress in applications of computing to radiotherapy (ICCR 2016).

    Physics in medicine and biology·2026
    Same journal

    Novel TMS coils designed using an inverse boundary element method.

    Physics in medicine and biology·2026
    See all related articles

    This study simplifies frequency space filter computation for 3D reconstruction using Fourier deconvolution. For specific system response functions, filter calculation reduces to a single integration, often solvable analytically.

    Area of Science:

    • Image reconstruction
    • Signal processing
    • Computational imaging

    Background:

    • Three-dimensional (3D) reconstruction often employs Fourier space deconvolution algorithms.
    • These algorithms require computing frequency space filters, which involves the 3D Fourier transform of the system response function.
    • This computation can be complex and computationally intensive.

    Purpose of the Study:

    • To develop a more efficient method for computing frequency space filters for 3D reconstruction.
    • To simplify the calculation for system response functions of the form d(theta, phi)/r^2.
    • To provide a general framework and specific examples for analytical filter computation.

    Main Methods:

    • The study focuses on system response functions with the specific form d(theta, phi)/r^2.

    Related Experiment Videos

  • It demonstrates that the filter computation can be reduced to a single integration.
  • Analytical integration methods are explored and applied.

    • Main Results:

    • A significant simplification in frequency space filter computation is achieved.
    • For the specified system response functions, the 3D Fourier transform is reduced to a single integration.
    • Analytical solutions for the filter computation are derived for general cases.
    • Two illustrative examples are provided.

    Conclusions:

    • The presented method offers a computationally efficient approach to frequency space filter calculation in 3D reconstruction.
    • The analytical solutions simplify the application of Fourier deconvolution for specific imaging systems.
    • This work facilitates more accessible and efficient 3D image reconstruction processes.