Exploring Bezier And Spline Curves

This video describes an interactive web app that enables you to explore properties of Bezier and Spline curves. The URL of the app is richardfuhr.neocities.org/Bus...
One basic property is that the yellow point on the red curve is always at the center of mass of the blue control points. You can access this web app and try it out from almost any computer and almost any browser.

[@smitaselot9811]

very effective way to visualize and understand Beizer and BSpline curves

[@rdfuhr]

Here is a link to the transcript of the commentary that accompanies the video, together with several corrections and additional remarks: richardfuhr.neocities.org/BusyBCurvesTranscript.html

[@rdfuhr]

Here is a link to a list of development tools and resources used to develop the web app Exploring Bezier and Spline Curves: richardfuhr.neocities.org/BusyBCurvesDevelopmentTools.html

[@squirrel5809]

That is so cool!! Instantly made me understand it :)

[@wallaby5716]

Thank you, very helpful!

[@GIULI4994]

thanks for the app and the explanation, it was very helpful!

[@rdfuhr]

You're welcome, and I am glad you are finding the app and the video to be helpful.

[@lucasbss]

my brain melted but it finally makes sense

[@67Keldar]

That's Awesome... Nice App too...

[@ghassankanaan1767]

Great App !!!

[@miuwai6211]

beautiful animation 👍👍

[@rdfuhr]

Glad you enjoyed it - the interactive web app is available here - richardfuhr.neocities.org/BusyBCurves.html

[@devonhughes3805]

very cool

[@epistemocrat]

what's the method to extend the curve while mantaining the same shape for hte existing part of the curve? how to modify the control points to achieve that?

[@rdfuhr]

@epistemocrat - We wrote about curve and surface extension, as well as other examples, in this paper: www.sciencedirect.com/science/article/abs/pii/001044859592149M

[@epistemocrat]

@@rdfuhr thanks, I purchased it, it will take me a while to understand it. I use a software where in real time the curves are extended while the software updates control points positon, do you think your article will help me understand the mechanism that achieves such an outcome? or is something else?