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Related Concept Videos

Aliasing01:18

Aliasing

Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original signal...
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...
Rotation of Asymmetric Top01:11

Rotation of Asymmetric Top

By definition, a spherically symmetric body has the same moment of inertia about any axis passing through its center of mass. This situation changes if there is no spherical symmetry. Since most rigid bodies are not spherically symmetric, these require special treatment.
The relationship between the angular momentum of any rigid body and its angular velocity, both of which are vectors, involves the moment of inertia. The moment of inertia is a scalar quantity only for spherically symmetric...
Rotational Motion about a Fixed Axis01:26

Rotational Motion about a Fixed Axis

A rigid body's rotation around a fixed axis makes every point within it trace a circular path around a specific line or point. The term given to this type of spinning is defined by the angular position, symbolized by the angle θ. This angle is gauged from a static reference line to the revolving object. From this angular position, any variation is referred to as angular displacement, denoted by dθ. The extent of this displacement can be calculated in degrees, radians, or revolutions, where one...
Rotation with Constant Angular Acceleration - II01:16

Rotation with Constant Angular Acceleration - II

Kinematics is the description of motion. The kinematics of rotational motion discusses the relationships between rotation angle, angular velocity, angular acceleration, and time. One can describe many things with great precision using kinematics, but kinematics does not consider causes. For example, a large angular acceleration describes a very rapid change in angular velocity without any consideration of its cause. Thus, rotational kinematics does not represent the laws of nature.
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Related Experiment Video

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Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
06:25

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

Avoidance of additional aliasing in multipass image rotations.

D Fraser1, R A Schowengerdt

  • 1Australian Defence Force Acad., New South Wales Univ., Canberra, ACT.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|January 1, 1994
PubMed
Summary
This summary is machine-generated.

Multipass image geometric transformations can cause extra frequency aliasing during rotation. This study explains this added aliasing and shows it can be reduced or avoided, improving image processing.

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Area of Science:

  • Image Processing
  • Computer Vision
  • Digital Signal Processing

Background:

  • Two-pass (or multipass) image geometric transformation algorithms are suitable for real-time, parallel processing.
  • These algorithms are known to introduce frequency aliasing during rotation, in addition to aliasing from one-pass methods.

Purpose of the Study:

  • To develop a unified framework and theory explaining the added aliasing in multipass image geometric transformations.
  • To analyze the characteristics and severity of this aliasing.
  • To propose methods for reducing or avoiding this aliasing.

Main Methods:

  • Theoretical analysis of multipass image geometric transformation algorithms.
  • Development of a unified framework to explain aliasing phenomena.
  • Empirical validation through examples of multipass image rotations.

Main Results:

  • A precise theoretical explanation for the added aliasing in various multipass algorithms was developed.
  • The study found that the aliasing is often less severe than anticipated and can sometimes be in a recoverable form.
  • Methods for easily reducing or completely avoiding the aliasing were demonstrated.

Conclusions:

  • The added aliasing in multipass image geometric transformations is a well-defined phenomenon with theoretical underpinnings.
  • This aliasing can be managed effectively, often with simple strategies.
  • The findings contribute to a broader understanding of alias-avoidance in geometric transformations.