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mirror of https://github.com/Pomax/BezierInfo-2.git synced 2025-08-27 10:15:05 +02:00
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Pomax
2020-10-18 14:27:57 -07:00
parent 133105d44e
commit 0f6683ca6d
314 changed files with 11182 additions and 266 deletions

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@@ -92,9 +92,9 @@ It's basically just a sum of "every combination of <i>a</i> and <i>b</i>", progr
\[
Bézier(n,t) = \sum_{i=0}^{n}
\underset{binomial\ term}{\underbrace{\binom{n}{i}}}
\underset{binomial~term}{\underbrace{\binom{n}{i}}}
\cdot\
\underset{polynomial\ term}{\underbrace{(1-t)^{n-i} \cdot t^{i}}}
\underset{polynomial~term}{\underbrace{(1-t)^{n-i} \cdot t^{i}}}
\]
And that's the full description for Bézier curves. Σ in this function indicates that this is a series of additions (using the variable listed below the Σ, starting at ...=&lt;value&gt; and ending at the value listed on top of the Σ).

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@@ -90,9 +90,9 @@
\[
Bézier(n,t) = \sum_{i=0}^{n}
\underset{binomial\ term}{\underbrace{\binom{n}{i}}}
\underset{binomial~term}{\underbrace{\binom{n}{i}}}
\cdot\
\underset{polynomial\ term}{\underbrace{(1-t)^{n-i} \cdot t^{i}}}
\underset{polynomial~term}{\underbrace{(1-t)^{n-i} \cdot t^{i}}}
\]
这就是贝塞尔曲线完整的描述。在这个函数中的Σ表示了这是一系列的加法(用Σ下面的变量,从...=<>开始,直到Σ上面的数字结束)。