
#1
Mar1113, 07:40 PM

P: 42

If I construct a curve such start from point A0, A3, to point A6 where A1A2 and A4A5 are control points, is called a Bezier curve.
What is it called by and what its equation if I construct and fit a curve start from point A0 > A1 > A2 > A3 > A4 > A5 > A6 such as below image? 



#2
Mar1113, 08:33 PM

P: 688

It is called a "spline",
http://en.wikipedia.org/wiki/Spline_(mathematics) and fitting one usually involves solving a banddiagonal system of equations, and some notions of calculus. (Or you could google for a software library that does the work.) P.S.: There are actually many kinds of splines; the ones I had in mind, "cubic splines", are described in a link on the Wiki page I mentioned, http://en.wikipedia.org/wiki/Spline_interpolation But again, it's reinventing the wheel as there are probably libraries to do so. 



#3
Mar1213, 04:26 AM

P: 90

gnuplot will do that for you.



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