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### #ActualBrother Bob

Posted 31 May 2013 - 09:23 AM

The matrix itself does not transform the vertices into the unit cube. That happens at the perspective division stage when the W-component is normalized.

The element -Zn*Q at (4,3) will copy and scale the Z-component of the vertex into the W-component. When the W-component is normalized, the X, Y and Z-coordinates are effectively divided by -Zn*Q*Z. That's where the perspective effect and your missing scaling comes from.

### #1Brother Bob

Posted 31 May 2013 - 09:22 AM

the matrix itself does not move the vertices into the unit cube. That happens at the perspective division stage when the W-component is normalized.

The element -Zn*Q at (4,3) will copy and scale the Z-component of the vertex into the W-component. When the W-component is normalized, the X, Y and Z-coordinates are effectively divided by -Zn*Q*Z. That's where the perspective effect and your missing scaling comes from.

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