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Parametric curves 2
#19
(10-21-2021, 06:41 AM)PixLab Wrote: Hello Ottia Tuota

As we are only guessing (and myself, no even guessing, but just discovering the result) of the curves, is it possible for you to do something like this plugin ➤ https://www.gimp-forum.net/Thread-arakne...-creator-8
Real time preview of the Paths?

Not with my restricted skills, I am sorry. It would be nice, and I envy people who know how to make such things. I have my time full now and other projects going.

And on the other hand, would a preview be much better than the cycle

Try   -->   ctrl-Z   -->   ctrl-shift-F  -- >   Try   >   ... ?

My plugins are time consuming, hence a preview would not be immediate.

Your question reminded me of some rambling thoughts of mine that seem impossible ever to come to reality:

I imagine a plugin that draws curves such as my Fourier3 or even more general, and which would be used like this: The user tells the plugin: "I need a curve that has the following visual features ... [describes the features]. Give suggestions." And the plugin would give suggestions of such curves.

What could such visual features be? How could they be described? Some such features are: m-fold rotation symmetry; reflection symmetry; cusps (sharp points). Others? Those are not nearly sufficient. Just glance at the curves in this thread. How would you describe their features in words? You would need a new descriptive language for that. And after that you would have to solve hard mathematical problems. The m-fold symmetries in Fourier3 are governed by Farris's theorem and I made another plugin about that. In the connection with the Simple harmonograph I mentioned how cusps can be handled; that was possible since there are only two circular motions but I have no idea how to do it if the motions are three as in Fourier3. And then each new such feature would present a new problem. Yes, this would be somebody's life work.

Sorry about rambling. A fact is that the plugins are unsatisfactory when even a mathematician, or the author of the plugins, cannot predict outcomes. But that is how it is now.
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Messages In This Thread
Parametric curves 2 - by Ottia Tuota - 07-30-2021, 09:04 AM
RE: Parametric curves 2 - by Ottia Tuota - 07-30-2021, 05:06 PM
RE: Parametric curves 2 - by Ottia Tuota - 07-31-2021, 10:25 AM
RE: Parametric curves 2 - by Ottia Tuota - 08-23-2021, 04:30 PM
RE: Parametric curves 2 - by Ottia Tuota - 08-24-2021, 08:54 AM
RE: Parametric curves 2 - by Ottia Tuota - 08-24-2021, 04:06 PM
RE: Parametric curves 2 - by denzjos - 08-24-2021, 06:29 PM
RE: Parametric curves 2 - by Ottia Tuota - 08-25-2021, 12:25 PM
RE: Parametric curves 2 - by PixLab - 08-25-2021, 04:08 PM
RE: Parametric curves 2 - by denzjos - 08-25-2021, 06:41 PM
RE: Parametric curves 2 - by denzjos - 08-26-2021, 03:51 PM
RE: Parametric curves 2 - by denzjos - 08-26-2021, 06:06 PM
RE: Parametric curves 2 - by Ottia Tuota - 08-26-2021, 07:39 PM
RE: Parametric curves 2 - by Ottia Tuota - 09-02-2021, 02:33 PM
RE: Parametric curves 2 - by Ottia Tuota - 09-22-2021, 08:33 AM
RE: Parametric curves 2 - by Ottia Tuota - 09-22-2021, 01:30 PM
RE: Parametric curves 2 - by Ottia Tuota - 10-10-2021, 02:15 PM
RE: Parametric curves 2 - by PixLab - 10-21-2021, 06:41 AM
RE: Parametric curves 2 - by Ottia Tuota - 10-21-2021, 03:40 PM
RE: Parametric curves 2 - by PixLab - 10-22-2021, 04:39 AM

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