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mirror of https://github.com/Pomax/BezierInfo-2.git synced 2025-09-01 04:22:28 +02:00

image regeneration and more path fixes

This commit is contained in:
Pomax
2020-08-20 13:33:43 -07:00
parent d92e370bd1
commit 9611317fa9
39 changed files with 15 additions and 9 deletions

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@@ -23,7 +23,7 @@ If we want to change the curve, we need to change the weights of each point, eff
\underset{weight}{\underbrace{w_i}}
\]
That looks complicated, but as it so happens, the "weights" are actually just the coordinate values we want our curve to have: for an <i>n<sup>th</sup></i> order curve, w<sub>0</sub> is our start coordinate, w<sub>n</sub> is our last coordinate, and everything in between is a controlling coordinate. Say we want a cubic curve that starts at (120,160), is controlled by (35,200) and (220,260) and ends at (220,40), we use this Bézier curve:
That looks complicated, but as it so happens, the "weights" are actually just the coordinate values we want our curve to have: for an <i>n<sup>th</sup></i> order curve, w<sub>0</sub> is our start coordinate, w<sub>n</sub> is our last coordinate, and everything in between is a controlling coordinate. Say we want a cubic curve that starts at (110,150), is controlled by (25,190) and (210,250) and ends at (210,30), we use this Bézier curve:
\[
\left \{ \begin{matrix}

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@@ -987,8 +987,8 @@ function Bezier(3,t):
an <i>n<sup>th</sup></i> order curve, w<sub>0</sub> is our start
coordinate, w<sub>n</sub> is our last coordinate, and everything in
between is a controlling coordinate. Say we want a cubic curve that
starts at (120,160), is controlled by (35,200) and (220,260) and
ends at (220,40), we use this Bézier curve:
starts at (110,150), is controlled by (25,190) and (210,250) and
ends at (210,30), we use this Bézier curve:
</p>
<img
class="LaTeX SVG"