Fit splines through 3d structures
Paris Andrea
Dear all,
I was wondering if there is some functionality that enables "fitting" splines (or approximately center lines) to find the center of 3d tubes like the one you can find in the picture. I would be interested to reduce structure like that to just multiple lines
if it's possible with any means.
https://arc.aiaa.org/cms/10.2514/1.J053697/asset/images/medium/figure2.gif
The Dragon Demo example looks fairly similar to what I want to do, with the difference that I don't need necessarily all the lines connected together(https://topology-tool-kit.github.io/examples/dragon/)
https://topology-tool-kit.github.io/img/gallery/dragon.jpg
Is there any way to do it?
Thanks a lot in advance
Andrea
Christopher Kappe
Hello Andrea,
maybe I have a biased view on this, but your problem reminds me of work I did during my PhD. I fitted splines (actually degree-n polynomials) to "3D" (spherical coordinates) lines. See e.g. the magenta curve in the attached image (Fig. 10 from https://www.sciencedirect.com/science/article/abs/pii/S009784932200036X).
Under https://bitbucket.org/kappe_c/pv-py-filters you will find RegressionForPolyline.py and SmoothPolyline.py
A PhD student's work this is not very polished and won't be applicable for you out-of-the-box but maybe it is a starting point.
Generally, the first one is based on
from sklearn.preprocessing import
PolynomialFeatures
from sklearn.linear_model import LinearRegression
And the second one on
https://bitbucket.org/kappe_c/aaaown/src/master/map1dKd_smoothing.py
which is a moving window average approach.
Regards,
Chris
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