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Topic: rotating a shape in space
Replies: 3   Last Post: Dec 4, 2007 3:26 PM

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Ladnor Geissinger

Posts: 313
From: University of North Carolina at Chapel Hill
Registered: 12/4/04
Re: rotating a shape in space
Posted: Dec 3, 2007 10:37 PM
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> Suppose that I have 50 pairs of {x,y} values that
> form an ellipse centered at {0,0}. How do I do to
> rotate this ellipse theta degrees?

The standard matrix of a rotation counterclockwise through an angle t radians is Q(t)=[cos(t),-sin(t); sin(t), cos(t)] and of course the transformation takes column vector [x,y]' into Q(t)*[x,y]'. Here if V is a row vector, then V' is the transpose, a column vector.

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