info/BezierInfo-2
1
0
Fork 0
mirror of https://github.com/Pomax/BezierInfo-2.git synced 2025-08-30 03:30:34 +02:00
Code Issues Releases Wiki Activity

Update content.en-GB.md

Browse Source
This commit is contained in:
Pomax
2021-09-04 09:53:37 -07:00
committed by GitHub
parent ba46675e59
commit 8650571c70
1 changed files with 1 additions and 1 deletions
Download Patch File Download Diff File Expand all files Collapse all files

2
docs/chapters/abc/content.en-GB.md
View File

@@ -105,4 +105,4 @@ And then reverse engineer the curve's control points:
\end{aligned} \right .
\]
So: if we have a curve's start and end points, then for any `t` value we implicitly know all the ABC values, which (combined with an educated guess on appropriate `e1` and `e2` coordinates for cubic curves) gives us the necessary information to reconstruct a curve's "de Casteljau skeleton". Which means that we can now do several things: we can "fit" curves using only three points, which means we can also "mold" curves by moving an on-curve point but leaving its start and end points, and then reconstruct the curve based on where we moved the on-curve point to. These are very useful things, and we'll look at both in the next few sections.
So: if we have a curve's start and end points, as well as some third point B that we want the curve to pass through, then for any `t` value we implicitly know all the ABC values, which (combined with an educated guess on appropriate `e1` and `e2` coordinates for cubic curves) gives us the necessary information to reconstruct a curve's "de Casteljau skeleton". Which means that we can now do several things: we can "fit" curves using only three points, which means we can also "mold" curves by moving an on-curve point but leaving its start and end points, and then reconstruct the curve based on where we moved the on-curve point to. These are very useful things, and we'll look at both in the next few sections.