Spline Contour

#1 Posted: 2016/9/12 14:36:46

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This one works well for the given data set. Mesh finer at will and if needed,
bilinear ... not much use for bilinear, whereas "spline" is just something.

Jean

Spline Esplina [AI2000].sm (23.66 KiB) downloaded 649 time(s).

#2 Posted: 2016/9/12 19:08:01

Jean Giraud

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... a faster version: one twin col extractor removed.
By same token, I wonder why the col extractor col(,,) is so slow ?

Jean

Spline Esplina [AI2000].sm (23.75 KiB) downloaded 656 time(s).

#3 Posted: 2016/9/12 21:59:52

Fridel Selitsky

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"By same token, I wonder why the col extractor col(,,) is so slow ?"

You can speed up calculation if o are using "eval":

Spline Esplina [AI2000] (1).sm (25.27 KiB) downloaded 661 time(s).

#4 Posted: 2016/9/12 23:07:59

Jean Giraud

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Thanks Ber7 for "speedy Gonzalez". In fact, the "uN"
conditional code is redundant in this dataset.
Here is the latest version, even faster.

Jean

Spline Esplina [AI2000].sm (23.66 KiB) downloaded 668 time(s).

#5 Posted: 2016/9/13 03:08:10

Fridel Selitsky

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Jean,calculation speed will be doubled, if we use the advice of Андрей
http://en.smath.info/forum/resource.ashx?a=14504&b=2

Spline Esplina [AI2000] 2.sm (20.98 KiB) downloaded 697 time(s).

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Davide Carpi 2016/9/13 11:45:00

#6 Posted: 2016/9/13 07:58:11

Jean Giraud

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Thanks Ber7,
... now she is a bomb [2 sec] !

Spline Esplina [AI2000].sm (22.82 KiB) downloaded 697 time(s).

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sergio 2016/9/13 08:17:00, NDTM Amarasekera 2016/9/13 11:14:00

#7 Posted: 2016/9/13 11:23:31

Andrey Ivashov

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You forgot to specify first element of u vector.

By doing so you can speed up calculation even more:

Regards.

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Davide Carpi 2016/9/13 11:45:00, NDTM Amarasekera 2016/9/13 12:01:00

#8 Posted: 2016/9/13 12:08:37

Jean Giraud

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Wrote
You forgot to specify first element of u vector.

By doing so you can speed up calculation even more:

Thanks Andrey, damned me !

While you are there, can you speed up "DeBoor" ?

Jean

Spline De Boor [Esplina].sm (47.76 KiB) downloaded 653 time(s).

#9 Posted: 2016/9/13 12:47:49

Andrey Ivashov

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Done

Spline De Boor [Esplina]_mod.sm (47.37 KiB) downloaded 685 time(s).

Timings:

6.1 seconds by 0.97.5890
2.3 seconds by 0.98.6096

Regards.

#10 Posted: 2016/9/13 15:32:56

Jean Giraud

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Thanks Andrey,

... for the local definition of Sx(v), Sy(v).
Must be consistant with all upward local definitions.

Jean

#11 Posted: 2016/9/13 15:53:06

Andrey Ivashov

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You're welcome.

The main change was this:

Actually I'm not sure why calculation of u is so complex... looks like it is just a copy of m.

#12 Posted: 2016/9/14 00:51:51

Jean Giraud

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Quite right Andrey: 'u' is 'm', which 'm' is redundant.

I must have constructed N_(v,j) aroud 'u' from some source,
thus easier to check the coding. The attached work sheet
has been refactored with auxilliary explanations.
Can be used as model for DeBoor, pretty easy to adapt to
any project. Spline order is linear interpolation around
the polygon. Spline order 2 is "convex hull" per say.
They are about the only two types splines useful for
technical works [?]

Jean

Spline De Boor [Loop].sm (41.68 KiB) downloaded 701 time(s).

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