POV-Ray : Newsgroups : povray.animations : Drawing with Fourier series Server Time
23 Oct 2025 10:12:33 EDT (-0400)
  Drawing with Fourier series (Message 1 to 6 of 6)  
From: kurtz le pirate
Subject: Drawing with Fourier series
Date: 22 Oct 2025 06:04:14
Message: <68f8ac1e@news.povray.org>
Hello,

My POC on this subject is finished.
I finally have something to show.
Below is an image taken from the animation.

You can see the complete animation on my website at this address:
<http://louisbel.free.fr/scenes/scene046.shtml>
I hope you like it.




... yes, http only, my web hosting provider is working on setting up SSL.






-- 
kurtz le pirate
compagnie de la banquise


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Attachments:
Download 'fourier.png' (1058 KB)

Preview of image 'fourier.png'
fourier.png


 

From: Jörg "Yadgar" Bleimann
Subject: Re: Drawing with Fourier series
Date: 22 Oct 2025 19:13:32
Message: <68f9651c$1@news.povray.org>
Hi(gh)!

On 10/22/25 12:04, kurtz le pirate wrote:

> My POC on this subject is finished.
> I finally have something to show.
> Below is an image taken from the animation.
> 
> You can see the complete animation on my website at this address:
> <http://louisbel.free.fr/scenes/scene046.shtml>
> I hope you like it.

That incomplete yellow(!) outline looks eerily familiar...

See you in Khyberspace!

Yadgar

Now playing: Tarkus, live 10th February 1974 Anaheim Convention Centre, 
Anaheim, California (Emerson, Lake & Palmer)

-- 
VBI BENE, IBI BACTRIA!


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From: kurtz le pirate
Subject: Re: Drawing with Fourier series
Date: 23 Oct 2025 05:08:44
Message: <68f9f09c$1@news.povray.org>
On 23/10/2025 01:13, Jörg "Yadgar" Bleimann wrote:
> 
> That incomplete yellow(!) outline looks eerily familiar...
> 

Yes, I also chose (π) as the shape, but it works with any path. Didn't 
you watch the whole animation?



-- 
kurtz le pirate
compagnie de la banquise


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From: Bald Eagle
Subject: Re: Drawing with Fourier series
Date: 23 Oct 2025 06:40:00
Message: <web.68fa051846fed8001f9dae3025979125@news.povray.org>
kurtz le pirate <kur### [at] freefr> wrote:

> You can see the complete animation on my website at this address:
> <http://louisbel.free.fr/scenes/scene046.shtml>
> I hope you like it.

I love it.
And am envious because you beat me to doing it!
I'm sure at this point that I have watched nearly every 3Blue1Brown video.

Can I ask how many coefficients are needed to store that shape?

I was pondering using that format to make a new type of interpolation spline,
and as a method of storing shape outlines in a compact manner.

I can't recall: Is there a 3D version?

Excellent work!  :)
And I just HAVE to ask:   Will you be sharing the code?

-BW


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From: kurtz le pirate
Subject: Re: Drawing with Fourier series
Date: 23 Oct 2025 09:28:50
Message: <68fa2d92$1@news.povray.org>
On 23/10/2025 12:36, Bald Eagle wrote:
> 
> I love it.
  Thanks


> And am envious because you beat me to doing it!
LOL


> I'm sure at this point that I have watched nearly every 3Blue1Brown video.
Yes, yes, there are tons of videos on this topic.



> Can I ask how many coefficients are needed to store that shape?
The shape is a simple array of <x,y> vectors.
On my site, the firest PI shape is defined with only 120 points.
On the second one, the shape has 320 points.

For shapes, I use an SVG image that contains the path.
I found this website that allows you to convert a path into points
	<https://shinao.github.io/PathToPoints/>.
We provide the SVG file, set the interval between two points, and the 
page generates the points ! It's magic for me.

The SVG format, and more specifically the object path, is easy to 
read... but creating a converter with/for POV is really tricky.
Yet another new feature for v4 ? ;)




> I was pondering using that format to make a new type of interpolation spline,
> and as a method of storing shape outlines in a compact manner.
> 
> I can't recall: Is there a 3D version?

I watched two videos in 3D :
<https://www.youtube.com/watch?v=GXyX2DSUGX8>
<https://www.youtube.com/watch?v=E5rVya8nuyk>
... but not really 3D.



> Excellent work!  :)
> And I just HAVE to ask:   Will you be sharing the code?
Sure. I still have some refinement work to do and need to clean up my 
code to make it presentable. I will publish everything on my website 
with explanations.




-- 
kurtz le pirate
compagnie de la banquise


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From: Jörg "Yadgar" Bleimann
Subject: Re: Drawing with Fourier series
Date: 23 Oct 2025 09:36:08
Message: <68fa2f48$1@news.povray.org>
Hi(gh)!

On 10/23/25 11:08, kurtz le pirate wrote:
> On 23/10/2025 01:13, Jörg "Yadgar" Bleimann wrote:
>>
>> That incomplete yellow(!) outline looks eerily familiar...
>>
> 
> Yes, I also chose (π) as the shape, but it works with any path. Didn't 
> you watch the whole animation?

Meanwhile, yes. So it's just the Greek letter pi... but when incomplete, 
it looks like a caricature of The Stable Genius!

See you in Khyberspace!

Yadgar

-- 
VBI BENE, IBI BACTRIA!


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