Quadratic Spline Interpolation: Example: Part 2 of 2
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@LugieBaird I think the speed of a rocket is nowhere near the speed of light, so in fact the effects of relativity are negligible in this example
dukedevon1 5 days ago
Setting a_1=0 is a good choice here, because the mass of the rocket changes less, on a relative basis, during the first interval. This means that the acceleration would be closest to linear in this segment, justifying the choice of the first segment for setting a=0. I'd wager setting a=0 in the last segment would be a poorer choice.
What about adapting deBoor's "not a knot" criterion here? It could be done by using a_1 - a_2 = 0 as the 15th equation, making the first two segments into one.
LugieBaird 1 month ago
great, thanks from germany!
YoZZgAtLiii66 2 months ago
you really covered a lot of stuff in a very clear way, thanks
alfredo555 7 months ago
Astounded how much ground you covered in such a short time but I didn't feel like it was at all rushed. You got quite a lot of information out of the splines! I wish you had more material on splines, but you've given me a great introduction to them, and for that I'm very grateful.
LAnonHubbard 9 months ago
thank you! excellent example!
cookiemonster8inya 11 months ago
please let me know, this method can be used for 3-dimension. Thank you!
tunzawcn 2 years ago
Very clear introduction! Thank you!
xieyingdi 2 years ago