RGB to Grayscale Conversion

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]

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

[Aidin Golrokh]

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

Answer 1

[Walter Roberson]

https://stackoverflow.com/questions/687261/converting-rgb-to-grayscale-intensity