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

Statically Indeterminate Problem Solving01:16

Statically Indeterminate Problem Solving

828
Statically indeterminate problems are those where statics alone can not determine the internal forces or reactions. Consider a structure comprising two cylindrical rods made of steel and brass. These rods are joined at point B and restrained by rigid supports at points A and C. Now, the reactions at points A and C and the deflection at point B are to be determined. This rod structure is classified as statically indeterminate as the structure has more supports than are necessary for maintaining...
828
Routh-Hurwitz Criterion II01:19

Routh-Hurwitz Criterion II

1.2K
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
1.2K
Linearization and Approximation01:26

Linearization and Approximation

154
Linearization is a mathematical technique used to approximate complex, nonlinear functions with simpler linear models in the vicinity of a chosen reference point. The method is based on the idea that, although a function may be difficult to evaluate exactly, its behavior near a specific input value can often be closely approximated by the tangent line at that point. This approach is particularly useful when small deviations from a known value are involved.Consider the square root function, for...
154
Routh-Hurwitz Criterion I01:15

Routh-Hurwitz Criterion I

671
Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
671
Rigid Body Equilibrium Problems - II01:21

Rigid Body Equilibrium Problems - II

8.2K
A rigid body is in static equilibrium when the net force and the net torque acting on the system are equal to zero.
Consider two children sitting on a seesaw, which has negligible mass. The first child has a mass (m1) of 26 kg and sits at point A, which is 1.6 meters (r1) from the pivot point B; the second child has a mass (m2) of 32 kg and sits at point C. How far from the pivot point B should the second child sit (r2) to balance the seesaw?
8.2K
Curvilinear Motion: Rectangular Components01:23

Curvilinear Motion: Rectangular Components

1.5K
Curvilinear motion characterizes the movement of a particle or object along a curved path, notably evident when envisioning a car navigating a winding road. If the car starts at point A, its position vector is established within a fixed frame of reference, where the ratio of the position vector to its magnitude signifies the unit vector pointing in the position vector's direction.
As the car advances, its position evolves over time. Quantifying the car's velocity involves computing the...
1.5K

You might also read

Related Articles

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

Sort by
Same author

Subspace Method of Moments for <i>Ab Initio</i> 3-D Single Particle Cryo-EM Reconstruction.

SIAM journal on imaging sciences·2026
Same author

Adaptive Tensor Train Metadynamics for High-Dimensional Free Energy Exploration.

Journal of chemical theory and computation·2026
Same author

AURA-CVC: Autonomous Ultrasound-guided Robotic Assistance for Central Venous Catheterization.

International journal of computer assisted radiology and surgery·2026
Same author

Method of moments for 3D single particle <i>ab initio</i> modeling with non-uniform distribution of viewing angles.

Inverse problems·2025
Same author

Perinatal Intracranial Hemorrhage as a Rare Presentation of Plasminogen Activator Inhibitor-1 (PAI-1) Deficiency: A Case Report.

Cureus·2025
Same author

A Novel 3D Camera-Based ECG-Imaging System for Electrode Position Discovery and Heart-Torso Registration.

IEEE journal of biomedical and health informatics·2025
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

Related Experiment Video

Updated: Mar 24, 2026

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration
05:05

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration

Published on: November 23, 2019

8.6K

Non-Iterative Rigid 2D/3D Point-Set Registration Using Semidefinite Programming.

Yuehaw Khoo, Ankur Kapoor

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
    |March 16, 2016
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel convex programming method for 2D/3D point-set registration, enabling accurate pose estimation without prior point correspondence knowledge. The framework demonstrates robust performance, even with noisy data, for medical imaging applications.

    More Related Videos

    Multi-modal Pulmonary Imaging: Using Complementary Information from CT and Hyperpolarized 129Xe MRI to Evaluate Lung Structure-Function
    02:09

    Multi-modal Pulmonary Imaging: Using Complementary Information from CT and Hyperpolarized 129Xe MRI to Evaluate Lung Structure-Function

    Published on: April 12, 2024

    1.1K
    A Pipeline for 3D Multimodality Image Integration and Computer-assisted Planning in Epilepsy Surgery
    09:41

    A Pipeline for 3D Multimodality Image Integration and Computer-assisted Planning in Epilepsy Surgery

    Published on: May 20, 2016

    12.8K

    Related Experiment Videos

    Last Updated: Mar 24, 2026

    Four-Dimensional CT Analysis Using Sequential 3D-3D Registration
    05:05

    Four-Dimensional CT Analysis Using Sequential 3D-3D Registration

    Published on: November 23, 2019

    8.6K
    Multi-modal Pulmonary Imaging: Using Complementary Information from CT and Hyperpolarized 129Xe MRI to Evaluate Lung Structure-Function
    02:09

    Multi-modal Pulmonary Imaging: Using Complementary Information from CT and Hyperpolarized 129Xe MRI to Evaluate Lung Structure-Function

    Published on: April 12, 2024

    1.1K
    A Pipeline for 3D Multimodality Image Integration and Computer-assisted Planning in Epilepsy Surgery
    09:41

    A Pipeline for 3D Multimodality Image Integration and Computer-assisted Planning in Epilepsy Surgery

    Published on: May 20, 2016

    12.8K

    Area of Science:

    • Computer Vision
    • Medical Imaging
    • Optimization

    Background:

    • 2D/3D point-set registration is crucial for aligning medical images.
    • Unknown point correspondences pose a significant challenge in registration accuracy.
    • Existing methods often rely on iterative approaches or require known correspondences.

    Purpose of the Study:

    • To develop a non-iterative convex programming framework for 2D/3D point-set registration.
    • To jointly solve for pose estimation and point correspondences.
    • To enable efficient and accurate registration using semidefinite programming relaxations.

    Main Methods:

    • Formulated 2D/3D registration as mixed-integer nonlinear programs (MINLPs).
    • Developed convex relaxations of MINLPs into efficiently solvable semidefinite programs (SDPs).
    • Incorporated feature descriptors into convex programs to enhance registration.

    Main Results:

    • The proposed convex programs efficiently solve the 2D/3D registration problem.
    • Exact recovery of solutions is proven under noiseless conditions.
    • Demonstrated robustness and accuracy in registering 3D coronary vessel models to 2D fluoroscopic images, even with noise.

    Conclusions:

    • The convex programming framework offers a powerful, non-iterative solution for 2D/3D point-set registration.
    • This approach enhances accuracy and robustness, particularly in medical applications like coronary vessel imaging.
    • The method efficiently handles unknown correspondences and can integrate feature descriptors.