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Unformatted text preview: Curve 2 Curve Continuity C2 continuity gives us common joint points, and 1st and 2nd derivatives equal at the joint point. Two curves that join at the endpoint and have the nth derivatives equal at that point are called Cn continuous. For most applications, we want to join curves with either C1 or C2 continuity. Why Cubic Curves? Get upto C2 continuity. Need more non0 derrivatives to get more continuity. Minimal curviness when fitting a set of points. Specifying position and derivative at beginning and end is nice. Numerical computation issues are wellbehaved enough Artist Friendly Controls We want the same expressive power we see in powerpoint curves You specify endpoints and tangents, math does the rest Curves Curves Now for quadratic curves. Cubics...
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 Winter '08
 Jones,M

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