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Pomax
2016-01-07 14:16:13 -08:00
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17
components/sections/moulding/index.js
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@@ -251,10 +251,19 @@ var Moulding = React.createClass({
we know the distance A--e1 is only line-interval [0,t] of the full segment, and A--e2 is only line-interval [t,1], so constructing
the new control points is fairly easy:</p>
<p>\[\begin{align}
C1' &= A' + \frac{e1 - A'}{t} \\
C2' &= A' + \frac{e2 - A'}{1 - t}
\end{align}\]</p>
<p>\[
\left \{ \begin{align}
v1 &= A' + \frac{e1 - A'}{t} \\
v2 &= A' + \frac{e2 - A'}{1 - t}
\end{align} \right .
\]</p>
<p>\[
\left \{ \begin{align}
C1' &= v1 + \frac{v1 - start}{t} \\
C2' &= v2 + \frac{v2 - end}{1 - t}
\end{align} \right .
\]</p>
<p>And that's cubic curve manipulation.</p>
</section>

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