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Related Concept Videos

Position and Displacement Vectors01:00

Position and Displacement Vectors

To describe the motion of an object, one should first be able to describe its position (where it is at any particular time). More precisely, the position needs to be specified relative to a convenient frame of reference. A frame of reference is an arbitrary set of axes from which the position and motion of an object are described. Earth is often used as a frame of reference to describe the position of an object in relation to stationary objects on Earth.
Further, several important kinds of...
Position and Displacement Vectors01:00

Position and Displacement Vectors

To describe the motion of an object, one should first be able to describe its position (where it is at any particular time). More precisely, the position needs to be specified relative to a convenient frame of reference. A frame of reference is an arbitrary set of axes from which the position and motion of an object are described. Earth is often used as a frame of reference to describe the position of an object in relation to stationary objects on Earth.
Further, several important kinds of...
Position Vectors01:29

Position Vectors

A position vector is a fundamental concept in mathematics that helps determine the position of one point with respect to another point in space. It is a vector that describes the direction and distance between two points. Position vectors are highly useful in the field of math and science, as they help represent spatial relationships and make calculations easier.
For instance, we want to locate a point P(x, y, z) relative to the origin of coordinates O. In that case, we can define a position...
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule01:10

Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule

In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the others.
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...
Nuclear Overhauser Enhancement (NOE)01:06

Nuclear Overhauser Enhancement (NOE)

Irradiation of a spin-active nucleus causes an increase or decrease in the signal intensity of neighboring nuclei that are not necessarily chemically bonded or involved in J-coupling. This phenomenon, called the nuclear Overhauser enhancement (NOE), results from through-space interactions between the nuclear spins. The NOE effect decreases with increasing internuclear distance and is generally not observed beyond 4 angstroms. In NOE, dipole-dipole interactions between neighboring spin-active...

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Related Experiment Video

Updated: Jun 21, 2026

Picometer-Precision Atomic Position Tracking through Electron Microscopy
15:04

Picometer-Precision Atomic Position Tracking through Electron Microscopy

Published on: July 3, 2021

Optimized atom position and coefficient coding for matching pursuit-based image compression.

Alireza Shoa1, Shahram Shirani

  • 1Department of Electrical and Computer Engineering, McMaster University, Hamilton, ON L8S4K1, Canada. shoaah@mcmaster.ca

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|July 29, 2009
PubMed
Summary
This summary is machine-generated.

This study introduces an improved matching pursuit image coding algorithm. By utilizing atom position and coefficient correlations, it enhances coding performance and achieves superior rate distortion results compared to JPEG 2000 at low bit rates.

Related Experiment Videos

Last Updated: Jun 21, 2026

Picometer-Precision Atomic Position Tracking through Electron Microscopy
15:04

Picometer-Precision Atomic Position Tracking through Electron Microscopy

Published on: July 3, 2021

Area of Science:

  • Computer Science
  • Image Processing
  • Signal Processing

Background:

  • Matching pursuit is a signal decomposition technique used in image coding.
  • Existing algorithms for matching pursuit image coding have limitations in performance.
  • Rate distortion performance is a key metric for evaluating image compression algorithms.

Purpose of the Study:

  • To propose a novel encoding algorithm for matching pursuit image coding.
  • To improve coding performance by incorporating correlations between atom positions and coefficients.
  • To optimize encoder parameters and achieve a better tradeoff between position and coefficient coding.

Main Methods:

  • Developed a new encoding algorithm for matching pursuit.
  • Integrated the use of correlations between atom positions and atom coefficients during encoding.
  • Identified and optimized the tradeoff between efficient atom position coding and efficient atom coefficient coding.
  • Optimized encoder parameters for the proposed algorithm.

Main Results:

  • The proposed algorithm demonstrates improved coding performance compared to existing methods.
  • It achieves better rate distortion performance than JPEG 2000, particularly at low bit rates.
  • The integration of atom position and coefficient correlations significantly enhances encoding efficiency.

Conclusions:

  • The novel encoding algorithm offers superior performance for matching pursuit image coding.
  • The findings suggest a new direction for optimizing image compression techniques.
  • The algorithm provides a competitive alternative to established standards like JPEG 2000 for specific applications.