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Why do computer graphics applications use piecewise polynomial curves of degree 3 rather than curves of higher-order, say degree 100?
just wondering why is that? can't get my head around it. wouldn't the use of degree 100 be better? I'm really new to this stuff.
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Bezier curve arc length
See also: same question on Math.SE
How can I find the arclength of a Bezier curve? For example, a linear Bezier curve has the length:
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