Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Moment-Area Theorems

Moment-Area Theorems

The Moment-Area Theorem is crucial in structural engineering for analyzing beam bending, particularly in applications like building floor supports. This theorem utilizes the geometric properties of the elastic curve, which depicts how a beam deforms under load, to simplify the calculations of deflections and slopes.
The theorem is divided into two parts. The first part connects the angle between tangents at any two points on the beam's elastic curve to the area under a curve derived by plotting...

Moment of Inertia about an Arbitrary Axis

Moment of Inertia about an Arbitrary Axis

The moment of inertia is typically associated with principal axes, but it can also be computed for any random axis. When an arbitrary axis is under consideration, the moment of inertia is determined by integrating the mass distribution of the object along that specific axis. It is crucial in applications like the design of machinery, where components rotate about various axes, and balance and stability are essential.
In this scenario, the perpendicular distance between the chosen arbitrary axis...

Principle of Moments

Principle of Moments

The principle of moments, also known as Varignon's theorem, is a fundamental concept in physics and engineering that describes the equilibrium of a rigid body under the influence of external forces. The principle states that the moment of a force about a point is equal to the sum of the moments of the components of the force about the same point.
The moment is calculated by multiplying the magnitude of the force by the perpendicular distance from the point of application to the point about...

Moment-of-Momentum Equation

Moment-of-Momentum Equation

The moment-of-momentum equation is a critical tool for analyzing the torque produced by the rotating blades of a wind turbine. This equation is derived by applying Newton's second law to a fluid particle, which states that the rate of change of linear momentum is equal to the external force acting on the particle.

Moment of Inertia

Moment of Inertia

The comparability between linear and angular velocities, linear and angular accelerations, and the kinematic equations of translational and rotational motion can be extended to the concept of inertia.
If a rigid body is rotating about an axis but is not in translational motion, its translational kinetic energy is zero. However, since each particle undergoes rotational motion, it possesses non-zero velocity and kinetic energy. Thus, the kinetic energy of the rigid body, which is the sum of the...

Noncompartmental Analysis: Statistical Moment Theory

Noncompartmental Analysis: Statistical Moment Theory

Noncompartmental analyses leverage statistical moment theory to examine time-related changes in macroscopic events, encapsulating the collective outcomes stemming from the constituent elements in play. Statistical moment theory is a mathematical approach used to describe the time course of drug concentration in the body without assuming a specific compartmental model. SMT provides insights into drug absorption, distribution, metabolism, and elimination by treating drug concentration versus time...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Fast autofocusing based on single-pixel moment detection.

Communications engineering·2024

Same author

Blur-Invariant Similarity Measurement of Images.

IEEE transactions on pattern analysis and machine intelligence·2020

Same author

Affine Invariants of Vector Fields.

IEEE transactions on pattern analysis and machine intelligence·2019

Same author

Automatic blood detection in capsule endoscopy video.

Journal of biomedical optics·2016

Same author

PIZZARO: Forensic analysis and restoration of image and video data.

Forensic science international·2016

Same author

Recognition of Images Degraded by Gaussian Blur.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2016

Search research articles

Related Experiment Video

Updated: Jun 1, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

Blur invariants constructed from arbitrary moments.

Jaroslav Kautsky¹, Jan Flusser

¹Flinders University of South Australia, Adelaide, SA 5001, Australia. jarka@infoeng.flinders.edu.au

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society

|June 11, 2011

Summary

This study introduces a general method for creating blur invariants from image moments, simplifying previous approaches. It demonstrates how to construct these invariants efficiently, regardless of the polynomial basis used.

More Related Videos

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

Related Experiment Videos

Last Updated: Jun 1, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

Area of Science:

Computer Vision
Image Processing
Pattern Recognition

Background:

Existing methods for deriving blur invariants are complex and basis-specific.
Previous work by Zhang and Chen highlighted the need for more general approaches.

Purpose of the Study:

To present a unified method for constructing moment invariants robust to image blurring.
To simplify the derivation and implementation of blur invariants.

Main Methods:

Developing a general framework to construct blur invariants from arbitrary moments.
Utilizing recurrent relations for efficient implementation in orthogonal bases.
Demonstrating the method with Legendre moments.

Main Results:

A general method for constructing blur invariants is presented, applicable to any moment type.
The proposed method eliminates the need for basis-specific invariant derivations.
Efficient implementation strategies using recurrent relations are discussed.

Conclusions:

The presented method offers a more general and efficient approach to blur invariant computation.
This work simplifies the understanding and application of moment invariants in image analysis.
The findings contribute to robust image recognition under blurring conditions.