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Related Concept Videos

Histogram01:05

Histogram

The histogram is a graphical representation in the x-y form of data distribution in a data set. The horizontal x-axis is labeled with what the data represents (for instance, distance from your home to school). The vertical y-axis is labeled either frequency or relative frequency (or percent frequency or probability).
A histogram graph consists of contiguous (adjoining) boxes. The heights of the bars correspond to frequency values. The graph will have the same shape with respective labels. The...
Relative Frequency Histogram01:14

Relative Frequency Histogram

The relative frequency depicts the proportion of data points that have each value. The frequency tells the number of data points that have each value. Like the histogram, a relative frequency histogram also has the same shape with a horizontal scale (the x-axis), but the vertical scale (the y-axis) is marked with relative frequencies (percentages of the whole) instead of actual frequencies. A relative frequency histogram is a graphical representation of a frequency distribution where the...
Probability Histograms01:17

Probability Histograms

A probability histogram is a visual representation of a probability distribution. Similar a typical histogram, the probability histogram consists of contiguous (adjoining) boxes. It has both a horizontal axis and a vertical axis. The horizontal axis is labeled with what the data represents. The vertical axis is labeled with probability. Each rectangular bar in the histogram is 1 unit wide, which suggests that the area under each bar equals the probability, P(x), where x is 1, 2, 3, and so on.

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Related Experiment Video

Updated: Jun 9, 2026

Enabling High Grayscale Resolution Displays and Accurate Response Time Measurements on Conventional Computers
06:50

Enabling High Grayscale Resolution Displays and Accurate Response Time Measurements on Conventional Computers

Published on: February 29, 2012

A novel 3-D color histogram equalization method with uniform 1-D gray scale histogram.

Ji-Hee Han1, Sejung Yang, Byung-Uk Lee

  • 1Electronics Engineering Department, Ewha W. University, Seoul, Korea. jiheehan87227@gmail.com

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|August 31, 2010
PubMed
Summary

Existing color histogram equalization methods fail to produce uniform grayscale histograms, degrading image contrast. This study introduces a novel 3-D color histogram equalization technique for improved grayscale uniformity and contrast in digital images.

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Last Updated: Jun 9, 2026

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Area of Science:

  • Digital Image Processing
  • Computer Vision

Background:

  • Most color histogram equalization techniques result in non-uniform grayscale histograms.
  • Grayscale conversion after color equalization leads to inferior contrast compared to 1-D grayscale equalization.

Purpose of the Study:

  • To propose a novel 3-D color histogram equalization method.
  • To achieve uniform grayscale histogram distribution.
  • To analyze and compare existing color histogram equalization algorithms.

Main Methods:

  • Development of a new cumulative probability density function in 3-D color space.
  • Implementation of a 3-D color histogram equalization algorithm.
  • Testing with natural and synthetic images.

Main Results:

  • The proposed 3-D method achieves uniform grayscale histogram distribution.
  • Demonstrated superior contrast in converted grayscale images compared to existing methods.
  • Provided theoretical analysis of non-ideal performance in current algorithms.

Conclusions:

  • The novel 3-D color histogram equalization method effectively enhances image contrast and grayscale uniformity.
  • This approach offers a significant improvement over traditional color equalization techniques.
  • Further analysis confirms the theoretical underpinnings of the proposed method.