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Variance of Pixels in Subimage Calculator

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Intensity Transformation Basics of Image Processing

✖Number of Intensity Levels is the total number of distinct intensity values an image can represent, determined by its bit depth.ⓘ Number of Intensity Levels [L]			+10% -10%
✖Probability of Occurrence of Rith in Subimage represents the probability of occurrence of the intensity level r_i within the subimage S_xy.ⓘ Probability of Occurrence of Rith in Subimage [p_{Sxy_ri}]			+10% -10%
✖Pixel Intensity Level refer to the range of possible intensity values that can be assigned to pixels in an image. This concept is particularly relevant in grayscale images.ⓘ Pixel Intensity Level [r_i]			+10% -10%
✖Subimage Pixel Mean Intensity Level represents the mean intensity level of pixels in the subimage S_xy.ⓘ Subimage Pixel Mean Intensity Level [m_Sxy]			+10% -10%

✖Variance of Pixels in Subimage represents the variance of pixel intensities in the subimage S_xy. The unit of variance is the square of the unit of the intensity levels.ⓘ Variance of Pixels in Subimage [σ_sxy]

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Variance of Pixels in Subimage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Variance of Pixels in Subimage = sum(x,0,Number of Intensity Levels-1,Probability of Occurrence of Rith in Subimage*(Pixel Intensity Level-Subimage Pixel Mean Intensity Level)^2)
σ_sxy = sum(x,0,L-1,p_{Sxy_ri}*(r_i-m_Sxy)^2)
This formula uses 1 Functions, 5 Variables

Functions Used

sum - Summation or sigma (∑) notation is a method used to write out a long sum in a concise way., sum(i, from, to, expr)

Variables Used

Variance of Pixels in Subimage - Variance of Pixels in Subimage represents the variance of pixel intensities in the subimage S_xy. The unit of variance is the square of the unit of the intensity levels.
Number of Intensity Levels - Number of Intensity Levels is the total number of distinct intensity values an image can represent, determined by its bit depth.
Probability of Occurrence of Rith in Subimage - Probability of Occurrence of Rith in Subimage represents the probability of occurrence of the intensity level r_i within the subimage S_xy.
Pixel Intensity Level - (Measured in Watt per Square Meter) - Pixel Intensity Level refer to the range of possible intensity values that can be assigned to pixels in an image. This concept is particularly relevant in grayscale images.
Subimage Pixel Mean Intensity Level - Subimage Pixel Mean Intensity Level represents the mean intensity level of pixels in the subimage S_xy.

STEP 1: Convert Input(s) to Base Unit

Number of Intensity Levels: 4 --> No Conversion Required
Probability of Occurrence of Rith in Subimage: 0.25 --> No Conversion Required
Pixel Intensity Level: 15 Watt per Square Meter --> 15 Watt per Square Meter No Conversion Required
Subimage Pixel Mean Intensity Level: 12 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_sxy = sum(x,0,L-1,p_{Sxy_ri}*(r_i-m_Sxy)^2) --> sum(x,0,4-1,0.25*(15-12)^2)

Evaluating ... ...

σ_sxy = 9

STEP 3: Convert Result to Output's Unit

9 --> No Conversion Required

FINAL ANSWER

9 <-- Variance of Pixels in Subimage

(Calculation completed in 00.020 seconds)

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Created by Vignesh Naidu

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< Intensity Transformation Calculators

Bits Required to Store Digitized Image

LaTeX Go Bits in Digitized Image = Digital Image Row*Digital Image Column*Number of Bits

Bits Required to Store Square Image

LaTeX Go Bits in Digitized Square Image = (Digital Image Column)^2*Number of Bits

Wavelength of Light

LaTeX Go Wavelength of Light = [c]/Frequency of Light

Number of Intensity Levels

LaTeX Go Number of Intensity Levels = 2^Number of Bits

Variance of Pixels in Subimage Formula

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What are the Application's of Variance of Pixels in Subimage ?

1. Image Segmentation: By analyzing variance across different subimages, we can identify regions with similar intensity characteristics, aiding in segmenting objects from the background.
2. Feature Extraction: Variance serves as a quantitative feature, allowing us to extract information about the texture or uniformity within a subimage.
3. Image Quality Assessment: High variance often indicates high contrast, while low variance suggests a more uniform region. This helps assess image quality factors.

How to Calculate Variance of Pixels in Subimage?

Variance of Pixels in Subimage calculator uses Variance of Pixels in Subimage = sum(x,0,Number of Intensity Levels-1,Probability of Occurrence of Rith in Subimage*(Pixel Intensity Level-Subimage Pixel Mean Intensity Level)^2) to calculate the Variance of Pixels in Subimage, The Variance of Pixels in Subimage formula represents the variance of pixel intensities in the subimage (S_xy). The unit of variance is the square of the unit of the intensity levels. Variance of Pixels in Subimage is denoted by σ_sxy symbol.

How to calculate Variance of Pixels in Subimage using this online calculator? To use this online calculator for Variance of Pixels in Subimage, enter Number of Intensity Levels (L), Probability of Occurrence of Rith in Subimage (p_{Sxy_ri}), Pixel Intensity Level (r_i) & Subimage Pixel Mean Intensity Level (m_Sxy) and hit the calculate button. Here is how the Variance of Pixels in Subimage calculation can be explained with given input values -> 9 = sum(x,0,4-1,0.25*(15-12)^2).

FAQ

What is Variance of Pixels in Subimage?

The Variance of Pixels in Subimage formula represents the variance of pixel intensities in the subimage (S_xy). The unit of variance is the square of the unit of the intensity levels and is represented as σ_sxy = sum(x,0,L-1,p_{Sxy_ri}*(r_i-m_Sxy)^2) or Variance of Pixels in Subimage = sum(x,0,Number of Intensity Levels-1,Probability of Occurrence of Rith in Subimage*(Pixel Intensity Level-Subimage Pixel Mean Intensity Level)^2). Number of Intensity Levels is the total number of distinct intensity values an image can represent, determined by its bit depth, Probability of Occurrence of Rith in Subimage represents the probability of occurrence of the intensity level r_i within the subimage S_xy, Pixel Intensity Level refer to the range of possible intensity values that can be assigned to pixels in an image. This concept is particularly relevant in grayscale images & Subimage Pixel Mean Intensity Level represents the mean intensity level of pixels in the subimage S_xy.

How to calculate Variance of Pixels in Subimage?

The Variance of Pixels in Subimage formula represents the variance of pixel intensities in the subimage (S_xy). The unit of variance is the square of the unit of the intensity levels is calculated using Variance of Pixels in Subimage = sum(x,0,Number of Intensity Levels-1,Probability of Occurrence of Rith in Subimage*(Pixel Intensity Level-Subimage Pixel Mean Intensity Level)^2). To calculate Variance of Pixels in Subimage, you need Number of Intensity Levels (L), Probability of Occurrence of Rith in Subimage (p_{Sxy_ri}), Pixel Intensity Level (r_i) & Subimage Pixel Mean Intensity Level (m_Sxy). With our tool, you need to enter the respective value for Number of Intensity Levels, Probability of Occurrence of Rith in Subimage, Pixel Intensity Level & Subimage Pixel Mean Intensity Level 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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