bezierinfo | A Primer on Bezier Curves
kandi X-RAY | bezierinfo Summary
kandi X-RAY | bezierinfo Summary
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QUESTION
I'm using Bézier easing interpolation to animate in my application. (Like this : https://developers.google.com/web/fundamentals/design-and-ux/animations/custom-easing)
I'm currently representing the graph using a simple Bezier with 4 control points (P0, P1, P2, P3) so on the x axis I got the time, and on the y axis I got the position (or value). Everything is normalized.
I would like now, to change the representation to have the velocity in the y axis. Basically going closer to a Motion Graph. I looked at many places and found I need to get the derivative of the cubic bézier i'm using.
It's mentionned there : https://pomax.github.io/bezierinfo/#derivatives, that a derivative of a bezier (particulary a cubic bezier) is composed of other beziers. Which is perfect to for me to be able to draw them. However, I cannot find a way to calculate those bezier control points. It's always a formula to get a point at a specified t
. So I cannot draw my graph.
I would like to get a formula that got me a series of control points.
How can I achieve this ? Thanks !
...ANSWER
Answered 2021-Feb-19 at 18:17Derivative of cubic Bezier curve with control points P0..P3
is quadratic Bezier curve with control points:
QUESTION
This is a Quadratic Bezier curve example and I would like to add the following notations above the orange control points, which are P0, P1, P2, P3. I have used the below piece of code, but It didn't work with me
...ANSWER
Answered 2020-Jul-31 at 10:52Simply loop over your control points coordinates and use annotate to write the annotation:
QUESTION
I am trying to figure out how to approximate the length of my nth degree Bezier curve and I found out that I could use the Gauss Quadrature integration to approximate it. After multiple attempts with my control points of P1(220, 40), P2(220, 260) P3(35, 200) and P4(120, 160) my program should give me a curve length of 272.87 (as seen from the graph here); however, I have only been getting results of around 229.18. I have checked my constants from the GaussLegendre class and they are correct.
Could somebody please tell me what I did wrong.
This is the class in full
...ANSWER
Answered 2018-Jun-01 at 05:49To reduce the cumulative error, you can use
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