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Gamma correction controls are helpful for users to make sure they are working in radiometrically linear space (also called 'linear workflow'). Linear workflow ensures that all of the elements interacting in a scene (light colors, textures and shader colors) correspond linearily linearly with actual amounts of light so that the renderer does proper light computations in a physically accurate way. This is needed since light works linearly in the physical world (if you double the amount of photons, the color values are also doubled).

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The main problem when rendering without a proper linear workflow is that lights look overblown and colors look unnatural. The artist then tries to adjust their scene's lighting, falloff, colors etc. However, this is only possible to a certain extent. The images below show common mistakes artists make when rendering out images with differing gamma outputs:

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