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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...
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...
Relative Motion Analysis - Velocity01:24

Relative Motion Analysis - Velocity

A stroke engine has a slider-crank mechanism that converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider.
When an external force is exerted, it sets the crank into a rotational movement. This, in turn, instigates the motion of the connecting rod, leading to what is referred to as a general plane motion. This process involves two key points - point A on the connecting rod...
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: May 23, 2026

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques
11:34

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques

Published on: December 3, 2013

3-d motion estimation, understanding, and prediction from noisy image sequences.

J Weng1, T S Huang, N Ahuja

  • 1Coordinated Science Laboratory, University of Illinois, Urbana, IL 61801.

IEEE Transactions on Pattern Analysis and Machine Intelligence
|April 21, 2012
PubMed
Summary

This study introduces a locally constant angular momentum (LCAM) model for analyzing rigid body 3-D motion from image sequences. The linear estimation method enables continuous motion analysis and prediction, even with missing data.

Related Experiment Videos

Last Updated: May 23, 2026

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques
11:34

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques

Published on: December 3, 2013

Area of Science:

  • Computer Vision
  • Robotics
  • Physics

Background:

  • Understanding 3-D rigid body motion from image sequences is crucial for robotics and computer vision.
  • Existing methods often struggle with complex motions or require significant computational resources.

Purpose of the Study:

  • To develop a novel approach for analyzing general 3-D motion of rigid bodies using image sequences.
  • To introduce a locally constant angular momentum (LCAM) model for efficient and adaptive motion estimation.

Main Methods:

  • A locally constant angular momentum (LCAM) model is applied to local image frame subsequences.
  • Motion is modeled as a superposition of precession and translation, allowing for a changing instantaneous rotation axis.
  • A linear estimation algorithm solves simultaneous linear equations for continuous motion parameter estimation.
  • Vector polynomials approximate the trajectory of the rotation center.

Main Results:

  • The LCAM model effectively constrains local motion, enabling continuous estimation of short-term motion characteristics.
  • The linear estimation algorithm allows for prediction of future motion and recovery of short missing subsequences.
  • Noise smoothing is achieved through overdetermination and a least-squares criterion, enhancing robustness.

Conclusions:

  • The proposed LCAM model provides a flexible and adaptive framework for understanding 3-D rigid body motion from image sequences.
  • The linear, continuous estimation approach facilitates real-time analysis, prediction, and data recovery in dynamic environments.