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nmNURBS Formulas

(quick reference)

NURBS Curve Definition (homogeneous coordinates)
Basis Function Definition
NURBS Object Definition (homogeneous coordinates)


NURBS Curve Definition (non-homogeneous coordinates)
NURBS Curve Derivative (non-homogeneous coordinates)
Basis Function Derivative

NURBS Object Definition (non-homogeneous coordinates)
NURBS Object Derivative (non-homogeneous coordinates)


You can download a more detailed formulas' paper here