✖Entropy Black Run Length is the randomness or unpredictability of consecutive black pixel sequences in a binary image, indicating the image's complexity and texture diversity.ⓘ Entropy 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 Black Run Length is a metric in image processing that measures the average length of consecutive black pixels in a binary image, indicating the image's texture and pattern regularity.ⓘ Average Black Run Length [L₀]			+10% -10%
✖Average White Run Length measures the average length of consecutive white pixels in a binary image, providing insight into the image's texture and pattern distribution.ⓘ Average White Run Length [L₁]			+10% -10%

✖Run Length Entropy Image quantifies the randomness or unpredictability of consecutive pixel sequences of specific intensity values, reflecting image texture and complexity.ⓘ 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")/("30px"+"31px")`

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Run-Length Entropy of Image Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Run Length Entropy Image - (Measured in Joule per Kelvin) - Run Length Entropy Image quantifies the randomness or unpredictability of consecutive pixel sequences of specific intensity values, reflecting image texture and complexity.
Entropy Black Run Length - (Measured in Joule per Kelvin) - Entropy Black Run Length is the randomness or unpredictability of consecutive black pixel sequences in a binary image, indicating the image's complexity and texture diversity.
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 Black Run Length - (Measured in Pixel) - Average Black Run Length is a metric in image processing that measures the average length of consecutive black pixels in a binary image, indicating the image's texture and pattern regularity.
Average White Run Length - (Measured in Pixel) - Average White Run Length measures the average length of consecutive white pixels in a binary image, providing insight into the image's texture and pattern distribution.

STEP 1: Convert Input(s) to Base Unit

Entropy 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 Black Run Length: 30 Pixel --> 30 Pixel No Conversion Required
Average White Run Length: 31 Pixel --> 31 Pixel 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 Image

(Calculation completed in 00.004 seconds)

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< 17 Basics of Image Processing Calculators

Standard Deviation by Linear Function of Camera Exposure Time

Go Standard Deviation = Model Function*(Radiant Intensity)*Model Behaviour Function*(1/Distance between Camera and the IRED^2)*(Model Coefficient 1*Camera Exposure Time+Model Coefficient 2)

Bilinear Interpolation

Go Bilinear Interpolation = Coefficient a*X Co-ordinate+Coefficient b*Y Co-ordinate+Coefficient c*X Co-ordinate*Y Co-ordinate+Coefficient d

Linear Combination of Expansion

Go Linear Combination of Expansion Functions = sum(x,0,Integer Index for Linear Expansion,Real Valued Expansion Coefficients*Real Valued Expansion Functions)

Cumulative Frequency for Each Brightness Value

Go Cumulative Frequency for Each Brightness = 1/Total Number of Pixels*sum(x,0,Maximum Brightness Value,Frequency of Occurrence of Each Brightness Value)

Band Loads Associated with Principle Components

Go K Band Loads with P Principle Components = Eigen Band k Component P*sqrt(Pth Eigenvalue)/sqrt(Band Variance Matrix)

Run-Length Entropy of Image

Go Run Length Entropy Image = (Entropy Black Run Length+Entropy of White Run Length)/(Average Black Run Length+Average White Run Length)

Wavelet Coefficient

Go Detail Wavelet Coefficient = int(Scaling Function Expansion*Wavelet Expansion Function*x,x,0,Integer Index for Linear Expansion)

Quantization Step Size in Image Processing

Go Quantization Step Size = (2^(Nominal Dynamic Range-Bits Allotted Exponent Number))*(1+Bits Allotted to Mantissa Number/2^11)

Digital Image Row

Go Digital Image Row = sqrt(Number of Bits/Digital Image Column)

Digital to Analog Converter

Go Digital to Analog Converter Resolution = Reference Voltage Image/(2^Number of Bits-1)

Rejection of Image Frequency

Go Customer Selling Price = (1+Quality Factor Image^2*Rejection Constant Image^2)^0.5

Probability of Intensity Level Occurring in given Image

Go Probability of Intensity = Intensity Occurs in Image/Total Number of Pixels

Digital Image Column

Go Digital Image Column = Number of Bits/(Digital Image Row^2)

Number of Bits

Go Number of Bits = (Digital Image Row^2)*Digital Image Column

Image File Size

Go Image File Size = Image Resolution*Bit Depth/8000

Energy of Various Components

Go Energy of Component = [hP]*Frequency

Number of Grey Level

Go Grey Level Image = 2^Digital Image Column

Run-Length Entropy of Image Formula

Run Length Entropy Image = (Entropy Black Run Length+Entropy of White Run Length)/(Average Black Run Length+Average White Run Length)
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 Image = (Entropy Black Run Length+Entropy of White Run Length)/(Average Black Run Length+Average White Run Length) to calculate the Run Length Entropy 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 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 Black Run Length (H₀), Entropy of White Run Length (H₁), Average Black Run Length (L₀) & Average White Run Length (L₁) and hit the calculate button. Here is how the Run-Length Entropy of Image calculation can be explained with given input values -> 0.044262 = (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 Image = (Entropy Black Run Length+Entropy of White Run Length)/(Average Black Run Length+Average White Run Length). Entropy Black Run Length is the randomness or unpredictability of consecutive black pixel sequences in a binary image, indicating the image's complexity and texture diversity, Entropy of White Run Length refers to the entropy calculated based on the run lengths of white pixels in an image, Average Black Run Length is a metric in image processing that measures the average length of consecutive black pixels in a binary image, indicating the image's texture and pattern regularity & Average White Run Length measures the average length of consecutive white pixels in a binary image, providing insight into the image's texture and pattern distribution.

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 Image = (Entropy Black Run Length+Entropy of White Run Length)/(Average Black Run Length+Average White Run Length). To calculate Run-Length Entropy of Image, you need Entropy Black Run Length (H₀), Entropy of White Run Length (H₁), Average Black Run Length (L₀) & Average White Run Length (L₁). With our tool, you need to enter the respective value for Entropy Black Run Length, Entropy of White Run Length, Average Black Run Length & Average White Run Length 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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