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

Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

127
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
127
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

119
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
119
Residuals and Least-Squares Property01:11

Residuals and Least-Squares Property

7.8K
The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the actual data point and the predicted point on the line
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
The process of fitting the best-fit...
7.8K

You might also read

Related Articles

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

Sort by
Same author

Characterization of a novel gene, Lsa(F), conferring resistance to pleuromutilins, lincosamides and streptogramin A in Streptococcus parasuis.

Veterinary research·2026
Same author

Clinical significance of high-density lipoprotein cholesterol and its dynamic change in patients with lymphoma-associated hemophagocytic lymphohistiocytosis.

Therapeutic advances in medical oncology·2026
Same author

From polyvictimization to heterogeneous sequelae: Four-wave longitudinal investigation of children's complex PTSD symptom trajectories.

Journal of affective disorders·2026
Same author

Occult fractures of the tibial plateau: 3D augmented X-ray pilot study.

Emergency radiology·2026
Same author

Tension pneumoperitoneum combined with CO<sub>2</sub> gas embolism during peroral endoscopic myotomy: a case report and review of literature.

Frontiers in medicine·2026
Same author

Maintenance treatment and survival in patients with newly diagnosed diffuse large B cell lymphoma in the immunochemotherapy era: a systematic review and network meta-analysis.

Clinical & translational oncology : official publication of the Federation of Spanish Oncology Societies and of the National Cancer Institute of Mexico·2026
Same journal

UniOCTSeg++: Refined Hierarchical Prompt Strategy and Bi-directional Progressive Consistency Learning for Universal Retinal Layer Segmentation in OCT.

IEEE transactions on medical imaging·2026
Same journal

Volumetric Functional Ultrasound Imaging in Macaques.

IEEE transactions on medical imaging·2026
Same journal

MUST: Multi-style virtual staining with incomplete pairs.

IEEE transactions on medical imaging·2026
Same journal

BrainCL: Transformer-Based Brain Network Contrastive Learning with Multi-Order Topology and Salience Masking.

IEEE transactions on medical imaging·2026
Same journal

LLM-enhanced Neuron Segmentation and Reconstruction in Complex Mouse Brain Images.

IEEE transactions on medical imaging·2026
Same journal

Matrixed-Spectrum Decomposition Accelerated Linear Boltzmann Transport Equation Solver for Fast Scatter Correction in Multi-Spectral CT.

IEEE transactions on medical imaging·2026
See all related articles

Related Experiment Video

Updated: Aug 25, 2025

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
06:25

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

8.5K

Linearized Analysis of Noise and Resolution for DL-Based Image Generation.

Jingyan Xu, Frederic Noo

    IEEE Transactions on Medical Imaging
    |October 13, 2022
    PubMed
    Summary
    This summary is machine-generated.

    Network linearization enables efficient characterization of image noise and resolution for deep learning (DL) CT image reconstruction, avoiding time-consuming simulations. This method applies to various DL network compositions, promoting physics-based quality measures.

    More Related Videos

    Super-resolution Imaging of Neuronal Dense-core Vesicles
    09:30

    Super-resolution Imaging of Neuronal Dense-core Vesicles

    Published on: July 2, 2014

    9.8K
    Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
    15:06

    Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

    Published on: January 3, 2016

    12.9K

    Related Experiment Videos

    Last Updated: Aug 25, 2025

    Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
    06:25

    Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

    Published on: February 12, 2014

    8.5K
    Super-resolution Imaging of Neuronal Dense-core Vesicles
    09:30

    Super-resolution Imaging of Neuronal Dense-core Vesicles

    Published on: July 2, 2014

    9.8K
    Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
    15:06

    Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

    Published on: January 3, 2016

    12.9K

    Area of Science:

    • Medical Imaging
    • Computational Imaging
    • Artificial Intelligence in Radiology

    Background:

    • Deep learning (DL) CT image generation methods typically use RMSE and SSIM for evaluation.
    • Conventional model-based image reconstruction (MBIR) methods assess image properties like resolution and noise, often requiring time-consuming Monte Carlo (MC) simulations.
    • Linearized analysis has been used for MBIR to characterize noise and resolution without MC simulations.

    Purpose of the Study:

    • To investigate the applicability of network linearization to DL networks for efficient characterization of resolution and noise.
    • To enable physics-related image quality measures for DL applications without MC simulations.

    Main Methods:

    • Applied network linearization, inspired by MBIR techniques, to a DL network (FBPConvNet).
    • Conducted extensive numerical evaluations using both computer simulations and real CT data.
    • Developed a generic method for computing covariance images for network linearization, applicable to DL modules combined with linear operators like filtered-backprojection (FBP).

    Main Results:

    • Network linearization proved effective for characterizing image noise and resolution in DL CT reconstruction under normal exposure settings.
    • The method successfully avoided the need for MC simulations for image property assessment.
    • Provided computational tools for implementing network linearization.

    Conclusions:

    • Network linearization offers an efficient and accessible approach for evaluating image quality in DL-based CT reconstruction.
    • The methodology is general and supports flexible compositions of DL modules and linear operators.
    • This work facilitates the adoption of physics-based image quality metrics in DL imaging applications.