fixed bounding box calculation for cubic beziers #390
Conversation
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
The bounding box of the cubic Bézier curve does not contain the second and third control point.
See also the equivalent calculation for the bounding box of the quadratic Bézier curve, which does not contain the second control point.
A graphical interpretation can be found using the interactive tools from the Primer on Béziers. The extremal points of the curve in the interval [0.0, 1.0] are always enclosed within the bounding box of the four control points. If one adds all four control points to the calculation, there is no need anymore to find the roots of the first derivative (but the result will be incorrect).