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Tangent Space?!?!?

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I don''t understand how you generate tangent space. On www.opengl.org, and ati.com it mentions that for bump mapping you need a tangent space vector, but I don''t understand what they are or how to generate them. I''ve searched google, but havn''t found much. Could you all help? Jesse www.laeuchli.com/jesse/

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