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Happy New Year - Coordinates Question

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Hello all and Happy New Year. I am a newbie with regards to graphics programming but am looking forward to learning all I can about it. I am currently learning NURBS and as such was wondering if someone could help me with a coordinate question. Say I have a set of Cartesian Points (X, Y, and Z values) that make-up the edge of a convex hull polygon and I would like to translate these to a set of corresponding UV Coordinates - is this possible and if so, how? Please remember I am new to 3D math. Any help/hints would be great. Thanks.

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