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Position and Displacement Vectors

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 Vectors

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...

Average and Instantaneous Velocity Vectors

Average and Instantaneous Velocity Vectors

To calculate other physical quantities in kinematics, the time variable must be introduced. The time variable not only allows us to state where an object is (its position) during its motion, but also how fast it’s moving. The speed at which an object is moving is given by the rate at which the position changes with time. For each position, a particular time is assigned. If the details of the motion at each instant are not important, the rate is usually expressed as the average velocity v. This...

Position and Displacement

Position and Displacement

The position of an object defines its location relative to a convenient frame of reference at any particular time. 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, and we often describe the position of an object as it relates to stationary objects on Earth. For example, a rocket launch could be described in terms of the position of the rocket with respect to Earth as a whole. On the other...

Position and Displacement

Position and Displacement

The position of an object defines its location relative to a convenient frame of reference at any particular time. 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, and we often describe the position of an object as it relates to stationary objects on Earth. For example, a rocket launch could be described in terms of the position of the rocket with respect to Earth as a whole. On the other...

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Related Experiment Video

Updated: Jul 17, 2026

A Random-displacement Measurement by Combining a Magnetic Scale and Two Fiber Bragg Gratings

A Random-displacement Measurement by Combining a Magnetic Scale and Two Fiber Bragg Gratings

Published on: September 30, 2019

Multidimensional displacement vector measurement methods utilizing instantaneous phase.

Chikayoshi Sumi¹

¹Department of Electric and Electrical Engineering, Faculty of Science and Technology, Sophia University. c-sumi@sophia.ac.jp.

Conference Proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference

|February 7, 2007

Summary

This study introduces two novel ultrasound methods for precise multidimensional displacement vector measurement. These techniques enhance accuracy for applications like tissue strain and blood flow analysis.

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A Novel Application of Musculoskeletal Ultrasound Imaging

A Novel Application of Musculoskeletal Ultrasound Imaging

Published on: September 17, 2013

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Last Updated: Jul 17, 2026

A Random-displacement Measurement by Combining a Magnetic Scale and Two Fiber Bragg Gratings

A Random-displacement Measurement by Combining a Magnetic Scale and Two Fiber Bragg Gratings

Published on: September 30, 2019

A Novel Application of Musculoskeletal Ultrasound Imaging

A Novel Application of Musculoskeletal Ultrasound Imaging

Published on: September 17, 2013

Area of Science:

Ultrasound physics and signal processing
Biomedical engineering
Acoustic imaging

Background:

Accurate measurement of multidimensional displacement is crucial for various diagnostic and monitoring applications.
Existing ultrasound techniques face limitations in precision for complex displacement vectors.

Purpose of the Study:

To develop and evaluate novel methods for high-accuracy multidimensional displacement vector measurement using ultrasound.
To combine advanced signal processing techniques for improved measurement performance.

Main Methods:

Proposed two new methods: multidimensional autocorrelation and multidimensional Doppler's method.
Integrated a lateral Gaussian envelop cosine modulation method for enhanced lateral accuracy.
Evaluated measurement accuracy through comprehensive simulations.

Main Results:

Demonstrated the potential for high-accuracy measurement of multidimensional displacement vectors.
Simulation results indicate the effectiveness of the proposed modulation technique in improving accuracy.
The developed methods show promise for various quantitative ultrasound applications.

Conclusions:

The proposed multidimensional autocorrelation and Doppler methods, combined with lateral modulation, offer a significant advancement in displacement vector measurement.
These techniques are suitable for applications requiring precise strain, flow, and sonar measurements.
Further validation in experimental settings is warranted to confirm simulation findings.