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Create distortion.md #117

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6 changes: 3 additions & 3 deletions Configuring/distortion.md
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Expand Up @@ -52,13 +52,13 @@ The coefficients for R, G, and B; and the Distances for X and Y; and the center

The parameters for each color specify the new radial displacement from the center of projection as a function of the original displacement. In D-scaled space, this is:

Offset = Orig - COP; // Vector
Offset = Orig - COP*D; // Vector, component-wise mult.
OffsetMag = sqrt(Offset.length() * Offset.length()); // Scalar
NormOffset = Offset / OffsetMag; // Vector
Final = COP + (a0 + a1*OffsetMag + a2*OffsetMag*OffsetMag + ...)
Final = COP*D + (a0 + a1*OffsetMag + a2*OffsetMag*OffsetMag + ...)
* NormOffset; // Position

Examples: (1) For a display 10 pixels wide by 8 pixels high that has square pixels whose center of projection is in the middle of the image, we would get: D = (10, 8); COP = (4.5, 3.5); parameters specified in pixel-unit offsets. (2) For a display that is 6 units wide by 12 units high, but whose optics stretch the view horizontally to produce a square viewing image with pixels that are stretched in X, we could have: D = (12, 12); COP = (5.5, 5.5); parameters specified in vertical pixel-sized units **or** D = (6,6); COP = (2.5, 2.5); parameters specified in horizontal pixel-sized units.
Examples: (1) For a display 10 pixels wide by 8 pixels high that has square pixels whose center of projection is in the middle of the image, we would get: D = (10, 8); COP = (0.5, 0.5); parameters specified in pixel-unit offsets. (2) For a display that is 6 units wide by 12 units high, but whose optics stretch the view horizontally to produce a square viewing image with pixels that are stretched in X, we could have: D = (12, 12); COP = (0.5, 0.5); parameters specified in vertical pixel-sized units **or** D = (6,6); COP = (0.5, 0.5); parameters specified in horizontal pixel-sized units.

### Overfill

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