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56 lines
2.1 KiB
Text
56 lines
2.1 KiB
Text
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NOTE ON ALPHA BLENDING IN THE VULKAN RENDERER
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Vulkan internally performs alpha blending in linear RGB color space.
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While this preserves hue better than blending in sRGB space, it tends to
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produce a too-bright result when blending dark and light colors. (See
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illustrations in "How software gets color wrong" by Björn Ottosson,
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https://bottosson.github.io/posts/colorwrong/.)
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(In desktop usage, this especially affects dark, semi-transparent
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tooltips, which appear significantly more transparent than expected,
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affecting readability if light text underneath shows through.)
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This effect can be compensated somewhat by adjusting the alpha channel
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to make dark overlay colors a bit more opaque. The Vulkan renderer
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currently performs this compensation only for sRGB source textures.
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To keep the math manageable, the compensation equation is derived using
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a lot of assumptions and approximations, namely:
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1. the perceptual lightness of a given source pixel is approximately
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the average of the RGB values in sRGB encoding (0-1 range)
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2. alternately, the perceptual lightness is approximately the square
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root of the average of the RGB values in linear encoding (the power
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should really be 1/2.4, but 1/2 is close enough)
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3. the lightness of the pixel underneath (in the surface being blended
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over) is unknown and thus assumed to be 0.5. (This does make the
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compensation less accurate when the underlying surface is very dark
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or light, but it's still much better than nothing.)
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If we could blend a pixel with lightness value v2 over a lightness value
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v1 in a theoretical perceptual color space, the resulting lightness
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should be simply:
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(1 - alpha)*v1 + alpha*v2
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However, alpha blending in linear space instead results in a perceptual
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lightness of approximately:
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sqrt((1 - alpha)*(v1^2) + alpha*(v2^2))
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To compensate, we would like to solve for a new alpha value a' where:
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sqrt((1 - a')*(v1^2) + a'*(v2^2)) = (1 - a)*v1 + a*v2
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Solving gives:
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a' = ((v2 - v1)*a^2 + 2*v1*a) / (v2 + v1)
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Assuming v1 = 0.5 simplifies this to:
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a' = ((v2 - 0.5)*a^2 + a) / (v2 + 0.5)
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which is the equation used in the shader (texture.frag).
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