Are the control points of a Bezier Curve stable with respect to small changes in the data points?

Or put another way: can “small” changes to a dataset lead to “large” changes in the control points of a Bezier Curve?

I’m only really considering low degree (second and third order) polynomials, but the question is somewhat interesting for all degrees nonetheless.

submitted by /u/The_Sodomeister
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Nevin Manimala

Nevin Manimala is interested in blogging and finding new blogs https://nevinmanimala.com

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