Is it possible to specify the 'order' of a smoothing spline?
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Hello,
I need to use smoothing splines. The matlab command 'csaps' can only be used for the case of a cubic smoothing
spline. On the other hand, the command '[...] = spaps(x,y,tol,[],m)' might be helpful to choose the order. But, there are a
range of difficulties with this command. First, we have to specify the tolerance 'tol' (I do not like to specify anything like tolerance or
smoothing parameter and woulds like the algorithm to choose the default). Second, m can only be 1(linear case), 2(cubic case), or 3 (
the quintic case). In my work I really need to use the 'quadratic smoothin splines'.
If I would like to do 'spline interpolation', instead, I could use the command 'spapi(k,x,y)' and choose k=3 for the case of quadratic spline interpolation. Is there a similar matlab command for smoothing splines? Something like 'spaps(k,x,y)' with no extra inputs like 'tolerance' or 'smoothing parameter' or 'weight'?
If MATLAB does not have the above-mentioned capability then this is a really 'annoying problem' which could be easily prevented by
the developers of spline toolbox. You might think that cubic smoothing splines are sufficient and there really is no need for a parabolic smoothing splines. If you are interested I can give you some important mathematical problems which really need the quadratic smoothing splines.
Any idea?
Thanks in advance!
Babak
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Bruno Luong
2022년 8월 14일
See if this can helps you
댓글 수: 6
Torsten
2022년 8월 14일
편집: Torsten
2022년 8월 14일
If I would have access to a quntum computer I would never bother you. I would, then, use cubic splines and would not even think to use parabolic splines.
You are kidding, aren't you ? My guess is that you will not even notice the difference in in computation time if you use parabolic instead of cubic spline interpolation/approximation.
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