Average Intensity of Pixels in Image Calculator

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Intensity Transformation

Digital Image Fundamentals

✖Intensity Value refers to the brightness or grayscale value of a pixel in an image.In a grayscale image, each pixel has an intensity value ranging from 0 to 255.ⓘ Intensity Value [L]			+10% -10%
✖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.ⓘ Intensity Level [r_i]			+10% -10%
✖Normalized Histogram Component refers to the normalized frequency distribution of intensity values within a specific channel or component of an image.ⓘ Normalized Histogram Component [p[r_i]]			+10% -10%

✖Average Intensity of Image is a measure of the overall brightness or luminance of the image. It can be calculated by averaging the pixel intensities across all pixels in the image.ⓘ Average Intensity of Pixels in Image [m_i]

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Formula

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Average Intensity of Pixels in Image

Formula

`"m"_{"i"} = sum(x,0,("L"-1),("r"_{"i"}*("p[r"_{"i"}"]")))`

Example

`"1049.02W/m²"=sum(x,0,("127"-1),("14"*"0.59"))`

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Average Intensity of Pixels in Image Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Intensity of Image = sum(x,0,(Intensity Value-1),(Intensity Level*Normalized Histogram Component))
m_i = sum(x,0,(L-1),(r_i*p[r_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

Average Intensity of Image - (Measured in Watt per Square Meter) - Average Intensity of Image is a measure of the overall brightness or luminance of the image. It can be calculated by averaging the pixel intensities across all pixels in the image.
Intensity Value - Intensity Value refers to the brightness or grayscale value of a pixel in an image.In a grayscale image, each pixel has an intensity value ranging from 0 to 255.
Intensity Level - 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.
Normalized Histogram Component - Normalized Histogram Component refers to the normalized frequency distribution of intensity values within a specific channel or component of an image.

STEP 1: Convert Input(s) to Base Unit

Intensity Value: 127 --> No Conversion Required
Intensity Level: 14 --> No Conversion Required
Normalized Histogram Component: 0.59 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m_i = sum(x,0,(L-1),(r_i*p[r_i])) --> sum(x,0,(127-1),(14*0.59))

Evaluating ... ...

m_i = 1049.02

STEP 3: Convert Result to Output's Unit

1049.02 Watt per Square Meter --> No Conversion Required

FINAL ANSWER

1049.02 Watt per Square Meter <-- Average Intensity of Image

(Calculation completed in 00.004 seconds)

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Dayananda Sagar College of Engineering (DSCE), Bangalore

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Verified by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

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< 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

Average Intensity of Pixels in Image Formula

Average Intensity of Image = sum(x,0,(Intensity Value-1),(Intensity Level*Normalized Histogram Component))
m_i = sum(x,0,(L-1),(r_i*p[r_i]))

What is the range of average intensity values?

The range of average intensity values depends on the pixel intensity range of the image. For grayscale images, where each pixel has a single intensity value ranging from 0 (black) to 255 (white) in an 8-bit image, the average intensity typically ranges from 0 to 255.

What are some applications of average intensity analysis?

Average intensity analysis finds applications in various fields such as medical imaging, satellite imaging, quality control in manufacturing, and surveillance systems. It can be used for tasks like image classification, object detection, and anomaly detection.

How to Calculate Average Intensity of Pixels in Image?

Average Intensity of Pixels in Image calculator uses Average Intensity of Image = sum(x,0,(Intensity Value-1),(Intensity Level*Normalized Histogram Component)) to calculate the Average Intensity of Image, The Average Intensity of Pixels in Image formula is defined as the overall brightness level across all the pixels in the image. It's a measure of how bright or dark the image appears on average. Average Intensity of Image is denoted by m_i symbol.

How to calculate Average Intensity of Pixels in Image using this online calculator? To use this online calculator for Average Intensity of Pixels in Image, enter Intensity Value (L), Intensity Level (r_i) & Normalized Histogram Component (p[r_i]) and hit the calculate button. Here is how the Average Intensity of Pixels in Image calculation can be explained with given input values -> 1049.02 = sum(x,0,(127-1),(14*0.59)).

FAQ

What is Average Intensity of Pixels in Image?

The Average Intensity of Pixels in Image formula is defined as the overall brightness level across all the pixels in the image. It's a measure of how bright or dark the image appears on average and is represented as m_i = sum(x,0,(L-1),(r_i*p[r_i])) or Average Intensity of Image = sum(x,0,(Intensity Value-1),(Intensity Level*Normalized Histogram Component)). Intensity Value refers to the brightness or grayscale value of a pixel in an image.In a grayscale image, each pixel has an intensity value ranging from 0 to 255, 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 & Normalized Histogram Component refers to the normalized frequency distribution of intensity values within a specific channel or component of an image.

How to calculate Average Intensity of Pixels in Image?

The Average Intensity of Pixels in Image formula is defined as the overall brightness level across all the pixels in the image. It's a measure of how bright or dark the image appears on average is calculated using Average Intensity of Image = sum(x,0,(Intensity Value-1),(Intensity Level*Normalized Histogram Component)). To calculate Average Intensity of Pixels in Image, you need Intensity Value (L), Intensity Level (r_i) & Normalized Histogram Component (p[r_i]). With our tool, you need to enter the respective value for Intensity Value, Intensity Level & Normalized Histogram Component 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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