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Related Concept Videos

Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it instrumental in...
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...
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...
Kinematic Equations - II01:17

Kinematic Equations - II

The second kinematic equation expresses the final position of an object in terms of its initial position, the distance traveled with the initial constant velocity, and the distance traveled due to a change in velocity. Similar to the first kinematic equation, this equation is also only valid when the acceleration is constant throughout the motion of an object.
Suppose a car merges into freeway traffic on a 200 m long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, then the...
Kinematic Equations - III01:18

Kinematic Equations - III

The first two kinematic equations have time as a variable, but the third kinematic equation is independent of time. This equation expresses final velocity as a function of the acceleration and distance over which it acts. The fourth kinematic equation does not have an acceleration term and provides the final position of the object at time t in terms of the initial and final velocities. This equation is useful when the value of the constant acceleration is unknown.
Using the kinematic equations,...
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...

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Related Experiment Video

Updated: Jul 7, 2026

Long-term Behavioral Tracking of Freely Swimming Weakly Electric Fish
10:56

Long-term Behavioral Tracking of Freely Swimming Weakly Electric Fish

Published on: March 6, 2014

A reduced order extended Kalman filter for sequential images containing a moving object.

J B Burl1

  • 1Dept. of Electr. and Comput. Eng., US Naval Postgraduate Sch., Monterey, CA.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|January 1, 1993
PubMed
Summary

This study introduces the parallel extended Kalman filter (PEKF) for reducing noise and estimating moving object velocity in image sequences. The PEKF offers an efficient and effective approach, especially for low signal-to-noise ratio images.

Related Experiment Videos

Last Updated: Jul 7, 2026

Long-term Behavioral Tracking of Freely Swimming Weakly Electric Fish
10:56

Long-term Behavioral Tracking of Freely Swimming Weakly Electric Fish

Published on: March 6, 2014

Area of Science:

  • Image Processing
  • Computer Vision
  • Signal Processing

Background:

  • Sequential image analysis often suffers from noise, hindering accurate object tracking and velocity estimation.
  • Traditional methods may struggle with low signal-to-noise ratio (SNR) conditions and dynamic object changes.

Purpose of the Study:

  • To develop an efficient algorithm for noise reduction and velocity estimation of moving objects in image sequences.
  • To introduce a computationally tractable approximation of the Extended Kalman Filter (EKF) suitable for practical applications.

Main Methods:

  • The Parallel Extended Kalman Filter (PEKF) was developed, utilizing a bank of third-order EKFs operating on Fourier coefficients.
  • A finite impulse response filter was integrated following the EKF bank for enhanced performance.
  • The algorithm was designed to model and track slow variations in object velocity.

Main Results:

  • The PEKF demonstrated convergence to an optimal algorithm under specific conditions (zero velocity estimation errors).
  • Effective performance was shown even in very low SNR image sequences.
  • The PEKF's ability to track slow object changes and velocity variations was highlighted.

Conclusions:

  • The PEKF provides an efficient and robust method for noise reduction and velocity estimation in challenging image conditions.
  • This approach is suitable for applications requiring tracking of dynamic objects and their velocities.
  • The PEKF offers advantages over existing frequency domain algorithms for velocity estimation.