hi all,
I have a script to construct a matrix for each vertex from the vertex
normal and connected face tangent. Basically i want to have a consistent
offset of a vertex over a number of frames.
i have seen examples trying to use Gram-Schmidt orthogonalization.
http://en.wikipedia.org/wiki/Gram%E2%80%93Schmidt_process
seems like the Correct mathmatical way to extract a 90deg vector from
the Normal using tangents. however i instead i just got the Cross
product to get the 90deg from the Normal and the Non orthoganal Tangent
vector. which would be my Binormal then i redefined the Tangent vector
as the cross product of the Normal and the Binormal.
so
binormal=tangent^normal# this get the 90deg to the plane of normal and
Tangent
binormal.normalize()
tangent=normals^binormal#get the 90deg for the new Tangent value..
note '^' is the Maya API crossProduct symol for vector calulations
i guess my question is. what it the advantage of using the Gram-Schmidt
method over just using CrossPoduct and is there any flaws in the method
i'm using now.
anyone used this method before.
john
--
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