Mean Value of Pixels in Subimage Calculator

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Intensity Transformation

Digital Image Fundamentals

✖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%
✖Intensity Level of ith Pixel in Subimage refers to the brightness or grayscale value of that pixel within a smaller portion of an image.ⓘ Intensity Level of ith Pixel in Subimage [z_i]			+10% -10%
✖Probability of Zi in Subimage refers to the likelihood of encountering that particular intensity value within the subset of pixels that compose the subimage.ⓘ Probability of Zi in Subimage [Ps_z_i]			+10% -10%

✖Mean Value of Pixels in Subimage is a measure of the average intensity level within that particular region of an image.ⓘ Mean Value of Pixels in Subimage [z^']

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Formula

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Mean Value of Pixels in Subimage

Formula

`"z"^{"'"} = sum(x,0,"L"-1,"z"_{"i"}*"Ps_z"_{"i"})`

Example

`"6"=sum(x,0,"4"-1,"0.5"*"3")`

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Mean Value of Pixels in Subimage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Value of Pixels in Subimage = sum(x,0,Number of Intensity Levels-1,Intensity Level of ith Pixel in Subimage*Probability of Zi in Subimage)
z^' = sum(x,0,L-1,z_i*Ps_z_i)
This formula uses 1 Functions, 4 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

Mean Value of Pixels in Subimage - Mean Value of Pixels in Subimage is a measure of the average intensity level within that particular region of an image.
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.
Intensity Level of ith Pixel in Subimage - Intensity Level of ith Pixel in Subimage refers to the brightness or grayscale value of that pixel within a smaller portion of an image.
Probability of Zi in Subimage - Probability of Zi in Subimage refers to the likelihood of encountering that particular intensity value within the subset of pixels that compose the subimage.

STEP 1: Convert Input(s) to Base Unit

Number of Intensity Levels: 4 --> No Conversion Required
Intensity Level of ith Pixel in Subimage: 0.5 --> No Conversion Required
Probability of Zi in Subimage: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z^' = sum(x,0,L-1,z_i*Ps_z_i) --> sum(x,0,4-1,0.5*3)

Evaluating ... ...

z^' = 6

STEP 3: Convert Result to Output's Unit

6 --> No Conversion Required

FINAL ANSWER

6 <-- Mean Value of Pixels in Subimage

(Calculation completed in 00.004 seconds)

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Credits

Created by Zaheer Sheik

Seshadri Rao Gudlavalleru Engineering College (SRGEC), Gudlavalleru

Zaheer Sheik has created this Calculator and 10+ more calculators!

Verified by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

Dipanjona Mallick has verified this Calculator and 50+ more calculators!

< 14 Intensity Transformation Calculators

Histogram Linearization

Go Discrete Form of Transformation = ((Number of Intensity Levels-1)/(Digital Image Row*Digital Image Column)*sum(x,0,Number of Intensity Levels-1,Number of Pixels with Intensity Ri))

Nth Moment of Discrete Random Variable

Go Nth Moment of Discrete Random Variable = sum(x,0,Number of Intensity Levels-1,Probability of Intensity Ri*(Intensity Level of Ith Pixel-Mean of Intensity Level)^Order of Moment)

Variance of Pixels in Subimage

Go Variance of Pixels in Subimage = sum(x,0,Number of Intensity Levels-1,Probability of Occurrence of Rith in Subimage*(Intensity Level of Ith Pixel-Subimage Pixel Mean Intensity Level)^2)

Mean Value of Pixels in Neighborhood

Go Global Mean Pixel Intensity level of Subimage = sum(x,0,Number of Intensity Levels-1,Intensity Level of Ith Pixel*Probability of Occurrence of Rith in Subimage)

Mean Value of Pixels in Subimage

Go Mean Value of Pixels in Subimage = sum(x,0,Number of Intensity Levels-1,Intensity Level of ith Pixel in Subimage*Probability of Zi in Subimage)

Histogram Equalization Transformation

Go Transformation of Continuous intensities = (Number of Intensity Levels-1)*int(Probability Density Function*x,x,0,Continuous Intensity)

Transformation Function

Go Transformation Function = (Number of Intensity Levels-1)*sum(x,0,(Number of Intensity Levels-1),Probability of Intensity Ri)

Average Intensity of Pixels in Image

Go Average Intensity of Image = sum(x,0,(Intensity Value-1),(Intensity Level*Normalized Histogram Component))

Characteristic Response of Linear Filtering

Go Characteristic Response of Linear Filtering = sum(x,1,9,Filter Coefficients*Corresponding Image Intensities of Filter)

Bits Required to Store Digitized Image

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

Bits Required to Store Square Image

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

Energy of Components of EM Spectrum

Go Energy of Component = [hP]/Frequency of Light

Wavelength of Light

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

Number of Intensity Levels

Go Number of Intensity Level = 2^Number of Bits

Mean Value of Pixels in Subimage Formula

Mean Value of Pixels in Subimage = sum(x,0,Number of Intensity Levels-1,Intensity Level of ith Pixel in Subimage*Probability of Zi in Subimage)
z^' = sum(x,0,L-1,z_i*Ps_z_i)

What is the purpose of calculating Mean Value of Pixels in Subimage?

The purpose of calculating Mean Value of Pixels in Subimage is to Calculate the mean value of pixels in a subimage provides insight into the overall brightness of the region, aids in normalization, enhances contrast, assists in thresholding for segmentation.

How to Calculate Mean Value of Pixels in Subimage?

Mean Value of Pixels in Subimage calculator uses Mean Value of Pixels in Subimage = sum(x,0,Number of Intensity Levels-1,Intensity Level of ith Pixel in Subimage*Probability of Zi in Subimage) to calculate the Mean Value of Pixels in Subimage, The Mean Value of Pixels in Subimage formula is a measure of the average intensity level within that particular region of an image. Mean Value of Pixels in Subimage is denoted by z^' symbol.

How to calculate Mean Value of Pixels in Subimage using this online calculator? To use this online calculator for Mean Value of Pixels in Subimage, enter Number of Intensity Levels (L), Intensity Level of ith Pixel in Subimage (z_i) & Probability of Zi in Subimage (Ps_z_i) and hit the calculate button. Here is how the Mean Value of Pixels in Subimage calculation can be explained with given input values -> 6 = sum(x,0,4-1,0.5*3).

FAQ

What is Mean Value of Pixels in Subimage?

The Mean Value of Pixels in Subimage formula is a measure of the average intensity level within that particular region of an image and is represented as z^' = sum(x,0,L-1,z_i*Ps_z_i) or Mean Value of Pixels in Subimage = sum(x,0,Number of Intensity Levels-1,Intensity Level of ith Pixel in Subimage*Probability of Zi in Subimage). Number of Intensity Levels is the total number of distinct intensity values an image can represent, determined by its bit depth, Intensity Level of ith Pixel in Subimage refers to the brightness or grayscale value of that pixel within a smaller portion of an image & Probability of Zi in Subimage refers to the likelihood of encountering that particular intensity value within the subset of pixels that compose the subimage.

How to calculate Mean Value of Pixels in Subimage?

The Mean Value of Pixels in Subimage formula is a measure of the average intensity level within that particular region of an image is calculated using Mean Value of Pixels in Subimage = sum(x,0,Number of Intensity Levels-1,Intensity Level of ith Pixel in Subimage*Probability of Zi in Subimage). To calculate Mean Value of Pixels in Subimage, you need Number of Intensity Levels (L), Intensity Level of ith Pixel in Subimage (z_i) & Probability of Zi in Subimage (Ps_z_i). With our tool, you need to enter the respective value for Number of Intensity Levels, Intensity Level of ith Pixel in Subimage & Probability of Zi in Subimage 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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