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Can we actually calculate the "viewspeed" of the IRL mouse movement?


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What you might be looking for is the Control–Display Gain/Ratio. It is the ratio between the control device (mouse) and the display element (cursor). Since it is a 1 : x ratio, it is expressed as a gain, or amplification. If you google it, there are a lot of papers discussing this topic.

 

For 2D, it is found by doing the following:

= ScreenSize / (PixelCount / (CPI * WPS * DPIScaling))

For 3D, it is found by doing the following:

= FocalLength / Radius
= ((ScreenSize / PixelCount) * ((PixelCount/2) / tan(FOV * π/360))) / (180 / (GameSensitivity * GameYaw * CPI * π))

This is all using square / 1:1 measurements, and assuming the game sensitivity is not FOV dependent.

 

Let's say you have 24.5" monitor, 1920x1080, 450 CPI. Playing Overwatch at 11.37 sensitivity.

Crop it to a square:

= (DiagonalScreenSize * SquarePixels) / sqrt(VerticalPixels^2 + HorizontalPixels^2)
= (24.5 * 1080) / sqrt(1080^2 + 1920^2)
= 12

CD Gain for 2D:

= 12 / (1080 / (450 * 1 * 1))
= 5

CD Gain for 3D:

= ((12 / 1080) * ((1080/2) / tan(70.53 * π/360))) / (180 / (11.37 * 0.0066 * 450 * π))
= 5

 

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