RGB to Grayscale Conversion

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Aidin Golrokh on 16 Jan 2018

Answered: Walter Roberson on 17 Jan 2018

I know that the conversion from RGB to grayscale is based on the wighted average method as shown in the following equation:

gray = .299*redChannel + .587*greenChannel + .114*blueChannel

What I need to know is the math behind this equation and the coefficients.

Thank you for the help.

Image Analyst on 16 Jan 2018

What do you mean? That is the math. Do you mean you want to know how the coefficients were arrived at?

Aidin Golrokh on 17 Jan 2018

Exactly. How are they derived? What mathematical procedure is used and from where are they originated?

Walter Roberson on 17 Jan 2018

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