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axis aligned BSP tree

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I've a doubt regarding AA BSP tree - How to choose a splitting plane ?? I'm planning to take planes that pass through center of the box and coplanar with XY, YZ or ZX as splitting planes. please guide me.

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http://tog.acm.org/GraphicsGems/gemsiii/bsp.c

I'm talking about the above code in particular. I just can't get the functions
DistanceToZPlane, DistanceToXplane, DistanceToYplane etc etc. What does ray's origin have to do with the subdivision planes ?

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