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What's the difference between the terms Gray-Level & Gray-Scale ?
I think that Gray-Level refers to the matrix of light-intensities of the Black-White digital image itself whilst Gray-Scale refers to a Black-White Image only ( without reference to the matrix )

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Grayscale images measure only the intensity of light, like for images that appear black-and white with monochromatic shades of gray.

Gray level refers to the actual level. e.g.: A pixel might be given a coded gray level of 128 where values range from 0 to 255.

There are terminology analogs to a temperature scale like Celsius. Grayscale could be like the word Celsius itself that tells you what you are measuring (temperature), but a gray level would be analogous to an actual temperature, e.g.: 37°C.

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