Spline Contour

#1 Pubblicato: 12/09/2016 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) scaricato 1232 volta(e).

#2 Pubblicato: 12/09/2016 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) scaricato 1257 volta(e).

#3 Pubblicato: 12/09/2016 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) scaricato 1240 volta(e).

#4 Pubblicato: 12/09/2016 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) scaricato 1276 volta(e).

#5 Pubblicato: 13/09/2016 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) scaricato 1284 volta(e).

1 utenti hanno apprezzato questo post

Davide Carpi 13/09/2016 11:45:00

#6 Pubblicato: 13/09/2016 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) scaricato 1296 volta(e).

2 utenti hanno apprezzato questo post

sergio 13/09/2016 08:17:00, NDTM Amarasekera 13/09/2016 11:14:00

#7 Pubblicato: 13/09/2016 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.

2 utenti hanno apprezzato questo post

Davide Carpi 13/09/2016 11:45:00, NDTM Amarasekera 13/09/2016 12:01:00

#8 Pubblicato: 13/09/2016 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) scaricato 1231 volta(e).

#9 Pubblicato: 13/09/2016 12:47:49

Andrey Ivashov

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Done

Spline De Boor [Esplina]_mod.sm (47,37 KiB) scaricato 1313 volta(e).

Timings:

6.1 seconds by 0.97.5890
2.3 seconds by 0.98.6096

Regards.

#10 Pubblicato: 13/09/2016 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 Pubblicato: 13/09/2016 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 Pubblicato: 14/09/2016 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) scaricato 1287 volta(e).

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Spline Contour

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Spline Contour - Spline Contour - Messaggi