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Z buffer

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Hi all, I very confused about the Z buffer and 1/z. I have read a book about the Z buffer, there is something.. buffer array, perspective projection of Y and Z, Z interpolation. As I know, after convert the vertex coordinate to screen coordinate, then interpolate Y and X. But why got Z interpolation ? Any Link and books to recommand(non API) ?

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Normally interpolation is after the screen coordinate stage is it ?
If yes, at the screen coordinate stage only got (X, Y) without Z,
so how to I interpolate (Y, Z) ?

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