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how to solve for modelview/projection matrix?

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Hi guys, I've got a tough problem regarding the modelview/projection matrix in opengl.

Say, I have a set of 3D points, and also their corresponding 2D screen positions, is it possible to solve for the optimal modelview (or the scale/rotation/translation) matrix which transforms all these 3D points to the 2D screen positions, when the projection matrix is fixed? or, is it possible to solve for such a projection matrix, when the modelview matrix is fixed?

 

Thank you and waiting for your answer(any suggestions or useful links are welcome!!)

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