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Related Concept Videos

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 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...
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 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...
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...
Structural Classification of Joints01:20

Structural Classification of Joints

Joints, also known as articulations, are classified based on their structural characteristics, i.e., based on whether the articulating surfaces of the adjacent bones are directly connected by fibrous connective tissue or cartilage, or whether the articulating surfaces contact each other within a fluid-filled joint cavity. These differences serve to divide the joints of the body into three structural classifications.
A fibrous joint is where the adjacent bones are united by fibrous connective...

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Related Experiment Video

Updated: May 8, 2026

In Vivo Quantification of Hip Arthrokinematics during Dynamic Weight-bearing Activities using Dual Fluoroscopy
07:43

In Vivo Quantification of Hip Arthrokinematics during Dynamic Weight-bearing Activities using Dual Fluoroscopy

Published on: July 2, 2021

Learning Spatially-Smooth Mappings in Non-Rigid Structure from Motion.

Onur C Hamsici1, Paulo F U Gotardo, Aleix M Martinez

  • 1Qualcomm Research, San Diego, CA, USA.

Computer Vision - ECCV ... : ... European Conference on Computer Vision : Proceedings. European Conference on Computer Vision
|August 16, 2013
PubMed
Summary

This study introduces a novel non-rigid structure from motion (NRSFM) method using spatial smoothness instead of temporal smoothness. This approach effectively recovers 3D shapes from 2D data, even with abrupt deformations or missing temporal order.

Related Experiment Videos

Last Updated: May 8, 2026

In Vivo Quantification of Hip Arthrokinematics during Dynamic Weight-bearing Activities using Dual Fluoroscopy
07:43

In Vivo Quantification of Hip Arthrokinematics during Dynamic Weight-bearing Activities using Dual Fluoroscopy

Published on: July 2, 2021

Area of Science:

  • Computer Vision
  • 3D Reconstruction
  • Geometric Modeling

Background:

  • Non-rigid structure from motion (NRSFM) is an underconstrained problem in computer vision.
  • Temporal smoothness constraints are commonly used but have limitations with unordered or abruptly deforming data.

Purpose of the Study:

  • To develop a new NRSFM method that overcomes limitations of temporal smoothness constraints.
  • To enable accurate 3D shape recovery from 2D data, irrespective of temporal ordering or deformation type.

Main Methods:

  • Deformations are modeled as spatial variations in shape space.
  • Spatial smoothness is enforced by learning a kernel-based mapping from 2D to 3D shape coefficients.
  • A rotation-invariant kernel is used to intrinsically define spatial smoothness in the feature space.

Main Results:

  • The method effectively handles NRSFM problems lacking temporal ordering.
  • Abrupt deformations are accommodated without compromising accuracy.
  • Compact shape variation representation is achieved using custom-learned coefficient bases.

Conclusions:

  • The proposed spatial smoothness approach offers a robust alternative to temporal smoothness for NRSFM.
  • The learned kernel-based mapping allows for efficient 3D shape recovery from new 2D observations.
  • This method advances the field of 3D reconstruction from motion.