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

Absolute Motion Analysis- General Plane Motion01:24

Absolute Motion Analysis- General Plane Motion

Visualize a drone, with its propellers spinning rapidly, hovering mid-air. The fascinating movements and operations of this drone can be comprehended by applying the principle of general plane motion.
As the drone's propellers rotate, an upward force is generated that counteracts the force of gravity, enabling the drone to lift off from the ground. This initial movement of the drone is along a straight path, representing a form of translational motion. In this phase, every point on the drone...
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

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, the...
Curvilinear Motion: Rectangular Components01:23

Curvilinear Motion: Rectangular Components

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 time...
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

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.
Maximizing the Directional Derivative01:25

Maximizing the Directional Derivative

The directional derivative is a central concept in multivariable calculus that describes how a function changes at a given point when moving in a specified direction. This direction is represented by a unit vector, ensuring that only the orientation influences the rate of change. By varying the direction, different rates of change can be observed, demonstrating that the directional derivative depends strongly on the chosen direction.The directional derivative is computed using the gradient...

You might also read

Related Articles

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

Sort by
Same author

A Bayes decision test for detecting uncovered-background and moving pixels in image sequences.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2008
Same author

Simultaneous motion estimation and filtering of image sequences.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2008
Same author

Blind data restoration with an extracted filter function.

Optics letters·2007
Same author

Nonuniform image motion estimation using Kalman filtering.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·1994
Same author

Nonuniform image motion estimation in reduced coefficient transformed domains.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·1993
Same author

Nonuniform image motion estimation using the maximum a posteriori principle.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·1992

Related Experiment Video

Updated: Jul 7, 2026

Magnetic Resonance Derived Myocardial Strain Assessment Using Feature Tracking
07:21

Magnetic Resonance Derived Myocardial Strain Assessment Using Feature Tracking

Published on: February 12, 2011

On the convergence of the generalized maximum likelihood algorithm for nonuniform image motion estimation.

N M Namazi1, D W Foxall

  • 1Dept. of Electr. Eng., Michigan Technol. Univ., Houghton, MI.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|January 1, 1992
PubMed
Summary

This study introduces a generalized maximum likelihood algorithm for stable image motion estimation. It provides conditions for algorithm convergence, even with noise, enhancing waveform estimation accuracy.

Related Experiment Videos

Last Updated: Jul 7, 2026

Magnetic Resonance Derived Myocardial Strain Assessment Using Feature Tracking
07:21

Magnetic Resonance Derived Myocardial Strain Assessment Using Feature Tracking

Published on: February 12, 2011

Area of Science:

  • Signal Processing
  • Computer Vision
  • Image Analysis

Background:

  • Waveform estimation is crucial for various applications.
  • Iterative algorithms are commonly used for complex estimation tasks.
  • Image motion estimation requires robust and stable algorithms.

Purpose of the Study:

  • To establish conditions for the mean stability of frame-to-frame image motion estimation.
  • To analyze the convergence properties of the generalized maximum likelihood algorithm.
  • To evaluate the algorithm's performance under different noise conditions.

Main Methods:

  • Utilized the generalized maximum likelihood (GML) algorithm.
  • Employed a steepest ascent routine for maximizing likelihood estimates.
  • Derived sufficient conditions for algorithm convergence in the absence of noise.

Main Results:

  • Sufficient conditions for mean-square stability were established.
  • The algorithm demonstrated convergence properties under specific conditions.
  • Experimental results showed the algorithm's behavior across various noise levels.

Conclusions:

  • The generalized maximum likelihood algorithm offers a stable approach for image motion estimation.
  • The derived conditions ensure reliable algorithm performance.
  • The findings contribute to advancements in robust waveform estimation techniques.