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Related Concept Videos

Mean Absolute Deviation01:13

Mean Absolute Deviation

The mean absolute deviation is also a measure of the variability of data in a sample. It is the absolute value of the average difference between the data values and the mean.
Let us consider a dataset containing the number of unsold cupcakes in five shops: 10, 15, 8, 7, and 10. Initially, calculate the sample mean. Then calculate the deviation, or the difference, between each data value and the mean. Next, the absolute values of these deviations are added and divided by the sample size to...
Testing a Claim about Standard Deviation01:19

Testing a Claim about Standard Deviation

A complete procedure to test a claim about population standard deviation or population variance is explained here.
The hypothesis testing for the claim of population standard deviation (or variance) requires the data and samples to be random and unbiased. The population distribution also must be normal. There is no specific requirement on the sample size as the estimation is based on the chi-square distribution.
As a first step, the hypothesis (null and alternative) concerning the claim about...
Coefficient of Variation01:10

Coefficient of Variation

The coefficient of variation measures the dispersion of the data points or distribution around the mean. Using the coefficient of variation, we can compare two data series with drastically different means or different units of measurement. The coefficient of variation for a sample and a population is expressed as a percentage of the ratio of standard deviation to the mean.
The coefficient of variation is a practical statistical tool in finance. It allows investors to assess the volatility or...

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Related Experiment Video

Updated: Jun 14, 2026

Quantifying Intermembrane Distances with Serial Image Dilations
07:45

Quantifying Intermembrane Distances with Serial Image Dilations

Published on: September 28, 2018

Divisive normalization image quality metric revisited.

Valero Laparra1, Jordi Muñoz-Marí, Jesús Malo

  • 1Image Processing Laboratory, Universitat de València, Catedrático A. Escardino, 46980 Paterna, València, Spain.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|April 3, 2010
PubMed
Summary
This summary is machine-generated.

Traditional image quality metrics based on error visibility are not inferior to newer methods. Divisive normalization models offer a competitive, robust, and interpretable approach to image quality assessment.

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Area of Science:

  • Computer Vision
  • Image Processing
  • Perceptual Science

Background:

  • Traditional image quality metrics face criticisms regarding near-threshold performance, limited geometric meaning, and statistical justification.
  • Structural and information-theory-based metrics are often considered superior alternatives to error visibility approaches.
  • The perceived limitations of traditional metrics have driven research towards novel image quality assessment methods.

Purpose of the Study:

  • To re-evaluate the traditional error visibility approach in image quality assessment.
  • To demonstrate that criticisms against error visibility metrics do not apply to models using general divisive normalization.
  • To establish the continued relevance and competitiveness of divisive normalization masking models.

Main Methods:

  • Analytical evaluation of error visibility metrics with general divisive normalization.
  • Experimental validation using diverse image databases and a wide range of distortions.
  • Comparison of divisive normalization performance against structural and information-theory-based metrics.

Main Results:

  • Criticisms against traditional error visibility metrics are unfounded when using general divisive normalization.
  • Divisive normalization metrics demonstrate competitive performance compared to newer approaches.
  • Divisive normalization models are robust and offer linear interpretability.

Conclusions:

  • Traditional error visibility metrics, specifically those employing divisive normalization, remain viable and competitive.
  • Divisive normalization masking models should be reconsidered and included in discussions on image quality assessment.
  • The study challenges the notion of inherent inferiority of traditional error visibility approaches.