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

Newton’s Method01:30

Newton’s Method

105
Newton’s Method is a powerful iterative technique for approximating the roots of real-valued, differentiable functions, particularly when analytical solutions are impractical. This approach is widely used in scientific computing, engineering, and finance, where equations may be too complex for traditional algebraic methods to handle. The method relies on an iterative process that refines an initial estimate using the function’s derivative to approach the true solution progressively.
105
Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

1.1K
Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
1.1K
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation

1.3K
This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...
1.3K
Reduced Mass Coordinates: Isolated Two-body Problem01:12

Reduced Mass Coordinates: Isolated Two-body Problem

2.5K
In classical mechanics, the two-body problem is one of the fundamental problems describing the motion of two interacting bodies under gravity or any other central force. When considering the motion of two bodies, one of the most important concepts is the reduced mass coordinates, a quantity that allows the two-body problem to be solved like a single-body problem. In these circumstances, it is assumed that a single body with reduced mass revolves around another body fixed in a position with an...
2.5K
Equations of Motion: Rectangular Coordinates and Cylindrical Coordinates01:21

Equations of Motion: Rectangular Coordinates and Cylindrical Coordinates

827
Understanding the motion of particles is a fundamental aspect of classical mechanics, and the choice of the coordinate system plays a pivotal role in unraveling the complexities of their dynamics.
When a particle moves relative to an inertial frame, the equations of motion can be expressed using rectangular components. If the motion is confined to the x-y plane, the equations having the x and y coordinates only can be used to simplify the mathematical representation.
However, when particles...
827

You might also read

Related Articles

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

Sort by
Same author

LNODE: latent dynamics reveal the shared spatiotemporal structure of amyloid-$β$ progression.

ArXiv·2026
Same author

LNODE: Uncovering the Latent Dynamics of <math><mi>A</mi> <mi>β</mi></math> in Alzheimer's Disease.

Medical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention·2026
Same author

A boundary integral method for simulating the dynamics of inextensible vesicles suspended in a viscous fluid in 2D.

Journal of computational physics·2025
Same author

Aligning personalized biomarker trajectories onto a common time axis: a connectome-based ODE model for Tau-Amyloid beta dynamics.

Medical image analysis·2025
Same author

Inverse Problem Regularization for 3D Multi-Species Tumor Growth Models.

International journal for numerical methods in biomedical engineering·2025
Same author

A single-snapshot inverse solver for two-species graph model of tau pathology spreading in human Alzheimer's disease.

Brain informatics·2025

Related Experiment Video

Updated: Mar 15, 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

An Inexact Newton-Krylov Algorithm for Constrained Diffeomorphic Image Registration.

Andreas Mang1, George Biros1

  • 1Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX 78712-0027.

SIAM Journal on Imaging Sciences
|September 13, 2016
PubMed
Summary

We developed new numerical algorithms for large deformation image registration, treating it as an optimal control problem. Our method ensures accurate and regular deformations, outperforming existing techniques for precise image alignment.

Keywords:
Newton–Krylov methodPDE constrained optimizationStokes regularizationStokes solverlarge deformation diffeomorphic image registrationoptimal controlpseudospectral Galerkin method

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
Author Spotlight: An Efficient and Robust Software for Automated Fusion of Multiple Preclinical Imaging Modalities
07:13

Author Spotlight: An Efficient and Robust Software for Automated Fusion of Multiple Preclinical Imaging Modalities

Published on: October 27, 2023

1.8K

Related Experiment Videos

Last Updated: Mar 15, 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
Author Spotlight: An Efficient and Robust Software for Automated Fusion of Multiple Preclinical Imaging Modalities
07:13

Author Spotlight: An Efficient and Robust Software for Automated Fusion of Multiple Preclinical Imaging Modalities

Published on: October 27, 2023

1.8K

Area of Science:

  • Medical Imaging
  • Computational Mathematics
  • Image Processing

Background:

  • Nonrigid image registration is crucial for medical image analysis.
  • Existing methods struggle with large deformations and ensuring registration accuracy.
  • Diffeomorphic registration requires robust numerical solutions for complex transformations.

Purpose of the Study:

  • To develop and validate novel numerical algorithms for large deformation diffeomorphic image registration.
  • To formulate the registration problem as a partial differential equation (PDE)-constrained optimization problem.
  • To achieve accurate, regular, and computationally efficient image registration.

Main Methods:

  • Formulation as an optimal control problem with PDE constraints.
  • Tikhonov and Stokes regularization for well-posedness and incompressibility.
  • Fourier pseudospectral spatial and Chebyshev pseudospectral temporal discretization.
  • Preconditioned, globalized, matrix-free, inexact Newton-Krylov optimization methods.
  • Parameter continuation for regularization parameter estimation.

Main Results:

  • Demonstrated excellent numerical accuracy and computational efficiency.
  • Guaranteed local deformation regularity and optional control on local mass conservation.
  • Newton-Krylov methods significantly outperform Picard methods for high-accuracy requirements.
  • Effective for both stationary and nonstationary velocity fields in two-image registration.

Conclusions:

  • The proposed black-box solver effectively addresses large deformation diffeomorphic image registration.
  • The method offers a robust and accurate solution for complex image alignment tasks.
  • It provides a significant advancement in computational medical image analysis.