Add matrix transpose multiplication #358
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dataphract
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Created #494 for this. |
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In collision detection, it's often useful to perform computations in the local space of one of the involved objects.
For instance, given an OBB:
the closest point within the OBB to another point can be found like so:
other
is converted to the local space ofself
by premultiplying by the inverse ofself.orientation
, and sinceself.orientation
is an orthonormal basis, its inverse is equivalent to its transpose. However, it's not necessary to actually construct the transposed matrix -- the multiplication can be performed by dotting the columns of the left-hand side with the columns of the right.Ideally, we could instead write:
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