Re: [JAVA3D] Antwort: Re: [JAVA3D] a quick 3d transform question, please help

[MisterXen]

Hi George,

I just saw the email on the search for a solution to transforn a point
from one coordinate system to another.
I am not sure whether the desired new coordinate system (a, b, n) is
orthogonal.
I´m not sure, how the plane of Brian is oriented, but I assumed that vec(a)
lies parallel to the plain, thus, vec(a), vec(n) are orthogonal and vec(b)
becomes orthogonal via cross product. At least you can find an orthogonal
basis for the plane: the normal vector and 2 linear independent vectors
perpendicular to vec(n)

Without an orthogonal system such a transform may not be
meaningful.
I would say it is not meaningful for 3D applications :))

See co-and contravariant :)))))

I mean, the problem is, how to project the vec(p) on axis, which are not
perpendicular to eachother, which do not form an orthogonal basis. Either
you "make" a perpendicular projection or you project in the direction of
the other axis. In an orthogonal basis both are equivalent!
Greetings

Martin

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