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Subject: Re: 3D Point to plane projection matrix




Thijssss wrote:
> I've got a plane : x2 + x3 = 0
> The N would be (0,1,1) in this case.. and I need to create a 3x3 matrix
> which can project any 3D point
> onto this plane.
> I would be very gratefull if someone can make a workout of this particular
> question so it's easier for me
> to translate the workings in to my own language and use it to workout
> simular problems.
>
> Greetings,
> Thijssss

If N=(a,b,c) then the projection matrix P is P=Id - Q/(a^2+b^2+c^2)
where Id is the 3x3 identity matrix and Q =
[ a^2 ab ac ]
[ ab b^2 bc ]
[ ac bc c^2]

This is for a plane that passes through the origin. You'll need to add
a translation, for another plane.


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