image regeneration and more path fixes
@@ -23,7 +23,7 @@ If we want to change the curve, we need to change the weights of each point, eff
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\underset{weight}{\underbrace{w_i}}
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\]
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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:
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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:
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\[
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\left \{ \begin{matrix}
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Before Width: | Height: | Size: 14 KiB |
Before Width: | Height: | Size: 14 KiB |
Before Width: | Height: | Size: 9.8 KiB |
Before Width: | Height: | Size: 8.5 KiB |
Before Width: | Height: | Size: 21 KiB |
Before Width: | Height: | Size: 19 KiB |
Before Width: | Height: | Size: 16 KiB |
Before Width: | Height: | Size: 28 KiB |
Before Width: | Height: | Size: 14 KiB |
Before Width: | Height: | Size: 11 KiB |
Before Width: | Height: | Size: 6.3 KiB |
Before Width: | Height: | Size: 10 KiB |
Before Width: | Height: | Size: 8.8 KiB |
Before Width: | Height: | Size: 24 KiB |
Before Width: | Height: | Size: 21 KiB |
Before Width: | Height: | Size: 9.2 KiB |
Before Width: | Height: | Size: 7.9 KiB |
Before Width: | Height: | Size: 10 KiB |
Before Width: | Height: | Size: 9.2 KiB |
Before Width: | Height: | Size: 8.2 KiB |
Before Width: | Height: | Size: 11 KiB |
Before Width: | Height: | Size: 9.9 KiB |
Before Width: | Height: | Size: 12 KiB |
Before Width: | Height: | Size: 12 KiB |
Before Width: | Height: | Size: 10 KiB After Width: | Height: | Size: 10 KiB |
Before Width: | Height: | Size: 10 KiB |
Before Width: | Height: | Size: 23 KiB |
Before Width: | Height: | Size: 12 KiB |
Before Width: | Height: | Size: 11 KiB |
Before Width: | Height: | Size: 9.2 KiB |
Before Width: | Height: | Size: 26 KiB |
@@ -987,8 +987,8 @@ function Bezier(3,t):
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an <i>n<sup>th</sup></i> order curve, w<sub>0</sub> is our start
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coordinate, w<sub>n</sub> is our last coordinate, and everything in
|
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between is a controlling coordinate. Say we want a cubic curve that
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starts at (120,160), is controlled by (35,200) and (220,260) and
|
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ends at (220,40), we use this Bézier curve:
|
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starts at (110,150), is controlled by (25,190) and (210,250) and
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ends at (210,30), we use this Bézier curve:
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</p>
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<img
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class="LaTeX SVG"
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