caption: Invariance Translational invariance means that translating the control points and then evaluating the curve is the same as evaluating and then translating the curve Rotational invariance means that rotating the control points and then evaluating the curve is the same as evaluating and then rotating the curve These properties are essential for parametric curves used in graphics It is easy to prove that <PERSON> curves, Hermite curves and everything else we will study are translation and rotation invariant Some forms of curves, rational splines, are also perspective invariant Can do perspective transform of control points and then evaluate the curve
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