info/BezierInfo-2
1
0
Fork 0
mirror of https://github.com/Pomax/BezierInfo-2.git synced 2025-09-03 05:12:43 +02:00
Code Issues Releases Wiki Activity

experimental tangents and normals

Browse Source
This commit is contained in:
Pomax
2017-04-11 20:38:43 -07:00
parent 97958c17ee
commit 3343284d2d
40 changed files with 601 additions and 133 deletions
Download Patch File Download Diff File Expand all files Collapse all files

8
components/sections/control/content.en-GB.md
View File

@@ -5,9 +5,9 @@ Bézier curves are (like all "splines") interpolation functions, meaning they ta
The following graphs show the interpolation functions for quadratic and cubic curves, with "S" being the strength of a point's contribution to the total sum of the Bézier function. Click or click-drag to see the interpolation percentages for each curve-defining point at a specific <i>t</i> value.
<div className="figure">
<Graphic inline={true} preset="simple" title="Quadratic interpolations" draw={this.drawQuadraticLerp}/>
<Graphic inline={true} preset="simple" title="Cubic interpolations" draw={this.drawCubicLerp}/>
<Graphic inline={true} preset="simple" title="15th order interpolations" draw={this.draw15thLerp}/>
<Graphic inline={true} title="Quadratic interpolations" draw={this.drawQuadraticLerp}/>
<Graphic inline={true} title="Cubic interpolations" draw={this.drawCubicLerp}/>
<Graphic inline={true} title="15th order interpolations" draw={this.draw15thLerp}/>
</div>
Also shown is the interpolation function for a 15<sup>th</sup> order Bézier function. As you can see, the start and end point contribute considerably more to the curve's shape than any other point in the control point set.
@@ -34,7 +34,7 @@ That looks complicated, but as it so happens, the "weights" are actually just th
Which gives us the curve we saw at the top of the article:
<Graphic preset="simple" title="Our cubic Bézier curve" setup={this.drawCubic} draw={this.drawCurve}/>
<Graphic title="Our cubic Bézier curve" setup={this.drawCubic} draw={this.drawCurve}/>
What else can we do with Bézier curves? Quite a lot, actually. The rest of this article covers a multitude of possible operations and algorithms that we can apply, and the tasks they achieve.