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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...
Planar Rigid-Body Motion01:22

Planar Rigid-Body Motion

Understanding the movement of a rigid body in planar motion involves recognizing that every particle within this body is traversing a path that maintains a consistent distance from a specific plane. This concept is fundamental in the study of physics and mechanical engineering, and it allows us to comprehend better how objects move in space.
Planar motion is typically divided into three distinct categories. The first is rectilinear translation, demonstrated by a subway train that moves along...
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...
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...
Relative Motion Analysis using Rotating Axes - Acceleration01:22

Relative Motion Analysis using Rotating Axes - Acceleration

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. The absolute velocity of point B is determined by adding the absolute velocity of point A, the relative velocity of point B in the rotating frame, and the effects caused by the angular velocity within the rotating frame.
Time differentiation is...
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...

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Related Experiment Video

Updated: Jun 4, 2026

Measuring 3D In-vivo Shoulder Kinematics using Biplanar Videoradiography
06:09

Measuring 3D In-vivo Shoulder Kinematics using Biplanar Videoradiography

Published on: March 12, 2021

Linearized motion estimation for articulated planes.

Ankur Datta1, Yaser Sheikh, Takeo Kanade

  • 1Carnegie Mellon University, Pittsburgh, USA. ankurd@cs.cmu.edu

IEEE Transactions on Pattern Analysis and Machine Intelligence
|February 19, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces articulation constraints to improve motion estimation for articulated planes. This method enhances accuracy and stability in computer vision tasks like human body tracking.

Related Experiment Videos

Last Updated: Jun 4, 2026

Measuring 3D In-vivo Shoulder Kinematics using Biplanar Videoradiography
06:09

Measuring 3D In-vivo Shoulder Kinematics using Biplanar Videoradiography

Published on: March 12, 2021

Area of Science:

  • Computer Vision
  • Robotics
  • Geometric Computer Vision

Background:

  • Estimating motion for articulated objects is challenging.
  • Existing methods struggle with textureless regions and occlusions.

Purpose of the Study:

  • To develop a novel method for motion estimation using articulation constraints.
  • To improve the numerical stability and robustness of motion estimation algorithms.

Main Methods:

  • Relating articulations to relative homography between planes.
  • Formulating articulation constraints as linearized equalities in a least-squares system.
  • Solving the system efficiently using Karush-Kuhn-Tucker (KKT) conditions.

Main Results:

  • Demonstrated numerically stable motion estimates.
  • Enabled handling of textureless areas and occlusions through simultaneous computation.
  • Showcased applicability in gradient-based (affine camera) and feature-based (projective camera) algorithms.

Conclusions:

  • Explicitly enforcing articulation constraints significantly enhances motion estimation stability.
  • The proposed method is versatile and effective for various challenging real-world applications.