Run-Length Entropy of Image Calculator

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Digital Image Fundamentals

Intensity Transformation

✖Entropy of Black Run Length refers to the entropy calculated based on the run lengths of black pixels in an image.ⓘ Entropy of Black Run Length [H₀]			+10% -10%
✖Entropy of White Run Length refers to the entropy calculated based on the run lengths of white pixels in an image.ⓘ Entropy of White Run Length [H₁]			+10% -10%
✖Average Value of Black Runlength refers to the average length of consecutive black (foreground) pixels in an image.ⓘ Average Value of Black Runlength [L₀]			+10% -10%
✖Average Value of White Runlength typically refers to the average length of consecutive white (foreground) pixels in an image.ⓘ Average Value of White Runlength [L₁]			+10% -10%

✖Run Length Entropy of Image is a measure of the randomness or disorder in the distribution of run lengths in an image.ⓘ Run-Length Entropy of Image [H_RL]

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Formula

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Run-Length Entropy of Image

Formula

`"H"_{"RL"} = ("H"_{"0"}+"H"_{"1"})/("L"_{"0"}+"L"_{"1"})`

Example

`"0.044262J/K"=("0.25J/K"+"2.45J/K")/("30"+"31")`

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Run-Length Entropy of Image Solution

STEP 0: Pre-Calculation Summary

Formula Used

Run Length Entropy of Image = (Entropy of Black Run Length+Entropy of White Run Length)/(Average Value of Black Runlength+Average Value of White Runlength)
H_RL = (H₀+H₁)/(L₀+L₁)
This formula uses 5 Variables

Variables Used

Run Length Entropy of Image - (Measured in Joule per Kelvin) - Run Length Entropy of Image is a measure of the randomness or disorder in the distribution of run lengths in an image.
Entropy of Black Run Length - (Measured in Joule per Kelvin) - Entropy of Black Run Length refers to the entropy calculated based on the run lengths of black pixels in an image.
Entropy of White Run Length - (Measured in Joule per Kelvin) - Entropy of White Run Length refers to the entropy calculated based on the run lengths of white pixels in an image.
Average Value of Black Runlength - Average Value of Black Runlength refers to the average length of consecutive black (foreground) pixels in an image.
Average Value of White Runlength - Average Value of White Runlength typically refers to the average length of consecutive white (foreground) pixels in an image.

STEP 1: Convert Input(s) to Base Unit

Entropy of Black Run Length: 0.25 Joule per Kelvin --> 0.25 Joule per Kelvin No Conversion Required
Entropy of White Run Length: 2.45 Joule per Kelvin --> 2.45 Joule per Kelvin No Conversion Required
Average Value of Black Runlength: 30 --> No Conversion Required
Average Value of White Runlength: 31 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_RL = (H₀+H₁)/(L₀+L₁) --> (0.25+2.45)/(30+31)

Evaluating ... ...

H_RL = 0.0442622950819672

STEP 3: Convert Result to Output's Unit

0.0442622950819672 Joule per Kelvin --> No Conversion Required

FINAL ANSWER

0.0442622950819672 ≈ 0.044262 Joule per Kelvin <-- Run Length Entropy of Image

(Calculation completed in 00.004 seconds)

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Run-Length Entropy of Image Formula

Run Length Entropy of Image = (Entropy of Black Run Length+Entropy of White Run Length)/(Average Value of Black Runlength+Average Value of White Runlength)
H_RL = (H₀+H₁)/(L₀+L₁)

How does Run-Length Entropy differ from other image entropy measures?

Run-Length Entropy specifically focuses on the distribution of run lengths, distinguishing it from other entropy measures that may consider pixel intensity values or spatial arrangements. Each entropy measure provides unique insights into different aspects of image characteristics.

How to Calculate Run-Length Entropy of Image?

Run-Length Entropy of Image calculator uses Run Length Entropy of Image = (Entropy of Black Run Length+Entropy of White Run Length)/(Average Value of Black Runlength+Average Value of White Runlength) to calculate the Run Length Entropy of Image, The Run-Length Entropy of Image formula is defined as is a measure of the randomness or disorder in the distribution of run lengths in an image. Run Length Entropy of Image is denoted by H_RL symbol.

How to calculate Run-Length Entropy of Image using this online calculator? To use this online calculator for Run-Length Entropy of Image, enter Entropy of Black Run Length (H₀), Entropy of White Run Length (H₁), Average Value of Black Runlength (L₀) & Average Value of White Runlength (L₁) and hit the calculate button. Here is how the Run-Length Entropy of Image calculation can be explained with given input values -> 0.331967 = (0.25+2.45)/(30+31).

FAQ

What is Run-Length Entropy of Image?

The Run-Length Entropy of Image formula is defined as is a measure of the randomness or disorder in the distribution of run lengths in an image and is represented as H_RL = (H₀+H₁)/(L₀+L₁) or Run Length Entropy of Image = (Entropy of Black Run Length+Entropy of White Run Length)/(Average Value of Black Runlength+Average Value of White Runlength). Entropy of Black Run Length refers to the entropy calculated based on the run lengths of black pixels in an image, Entropy of White Run Length refers to the entropy calculated based on the run lengths of white pixels in an image, Average Value of Black Runlength refers to the average length of consecutive black (foreground) pixels in an image & Average Value of White Runlength typically refers to the average length of consecutive white (foreground) pixels in an image.

How to calculate Run-Length Entropy of Image?

The Run-Length Entropy of Image formula is defined as is a measure of the randomness or disorder in the distribution of run lengths in an image is calculated using Run Length Entropy of Image = (Entropy of Black Run Length+Entropy of White Run Length)/(Average Value of Black Runlength+Average Value of White Runlength). To calculate Run-Length Entropy of Image, you need Entropy of Black Run Length (H₀), Entropy of White Run Length (H₁), Average Value of Black Runlength (L₀) & Average Value of White Runlength (L₁). With our tool, you need to enter the respective value for Entropy of Black Run Length, Entropy of White Run Length, Average Value of Black Runlength & Average Value of White Runlength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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