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16 Aug 2024 12:30:36 EDT (-0400)
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From: Thies Heidecke
Subject: Re: Fourier-Isosurfaces
Date: 26 Feb 2002 16:41:23
Message: <3c7c0103$1@news.povray.org>
"Sebastian H." <seb### [at] webde> schrieb im Newsbeitrag
news:3C7### [at] webde...
>
> Great Idea!
Thanks

> Could you make an animation?
My computer is currently rendering a morphing animation.
I think i will post it tomorrow

> Sebastian H.

Thies Heidecke


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From: Thies Heidecke
Subject: Re: Fourier-Isosurfaces
Date: 26 Feb 2002 16:45:30
Message: <3c7c01fa$1@news.povray.org>
"Alberto Mendoza" <jef### [at] usbve> schrieb im Newsbeitrag
news:3C7### [at] usbve...
> What about of a Fourier series of a whole scene?
Yes, that would be possible, but a bit impractical because
one had to take many harmonics to get the details, but that
depends on the scene. It is probably better to rebuild each
object seperate.
If i find the time i'll try to write an analyzer-macro to
reproduce arbitrary objects, so whole scenes would be
possible, too.

> Alberto.
Thies Heidecke


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From: Thies Heidecke
Subject: Re: Fourier-Isosurfaces
Date: 26 Feb 2002 16:49:41
Message: <3c7c02f5$1@news.povray.org>

news:3c7bdf46@news.povray.org...
> I know that this may have a useful application, but I find it very beautiful
> per se!
Thanks!

> I once found a Java applet in which you could play with the first 5
> or 6 fourier coeficients and automatically you would see the periodic
> function graphed. This was kind of the same thing but in 2D. I spent lots of
> time playing with that little applet.
> I've always liked graphics of converging series.
Yes, i can imagine that. I've already written a prog to do fourier-analysis
of sound-files, and spent quite some time filtering around and such, was fun
:)

> Congratulations,
Thank you

> Fernando.
Thies Heidecke


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From: Thies Heidecke
Subject: Re: Fourier-Isosurfaces
Date: 26 Feb 2002 16:54:24
Message: <3c7c0410@news.povray.org>
"Slime" <noo### [at] hotmailcom> schrieb im Newsbeitrag
news:3c7bf8c6$1@news.povray.org...
> This is an interesting idea, but since you're only working with one series
> per axis, won't that make it impossible to create non-symmetrical shapes?
currently i use one series for all 3 axis(es?), so the shapes are always
symmetrical. but that is just for ease of use while testing. If i use
distinct series for each axis with combined sine and cosine parts there are
no restrictions how the object may look like.
> - Slime
Thies Heidecke


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From: Peter Popov
Subject: Re: Fourier-Isosurfaces
Date: 26 Feb 2002 19:44:43
Message: <omao7u8dbrh4n4l5ndem0r9h9j2fe909ma@4ax.com>
On Tue, 26 Feb 2002 15:32:21 -0500, Alberto Mendoza <jef### [at] usbve>
wrote:

>What about of a Fourier series of a whole scene?

Ladies and Gentlemen, please welcome JPEG-3D!

:)

Seriously, why not? Break up the scene into voxels, then analyze each
voxel separately. It'd be interesting to see how 3D JPEG artifacts
will look.


Peter Popov ICQ : 15002700
Personal e-mail : pet### [at] vipbg
TAG      e-mail : pet### [at] tagpovrayorg


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From: Dennis Clarke
Subject: Re: Fourier-Isosurfaces
Date: 26 Feb 2002 19:56:49
Message: <3C7C2EC4.7E76E2D9@interlog.com>
Thies Heidecke wrote:
> 
> Hi,
> 
> I'm currently experimenting with Fourier-Series as isosurface-functions.

Does this imply the possibility of applying DSP techniques like band-pass
filtering and convolution to the output data sets?  I have no problem with
this in the 1-D and 2-D world so shall I assume that we could, given
sufficient memory and CPU, be able to form spatially smoothed objects by using
a low-pass digital filter to the output from the fourier transform?

Dennis


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From: Christopher James Huff
Subject: Re: Fourier-Isosurfaces
Date: 27 Feb 2002 11:55:49
Message: <chrishuff-CEECAF.11554327022002@netplex.aussie.org>
In article <omao7u8dbrh4n4l5ndem0r9h9j2fe909ma@4ax.com>,
 Peter Popov <pet### [at] vipbg> wrote:

> Seriously, why not? Break up the scene into voxels, then analyze each
> voxel separately. It'd be interesting to see how 3D JPEG artifacts
> will look.

I think this is a fairly common technique, actually.
http://www.google.com/search?q=wavelet+voxel

-- 
Christopher James Huff <chr### [at] maccom>
POV-Ray TAG e-mail: chr### [at] tagpovrayorg
TAG web site: http://tag.povray.org/


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From: Warp
Subject: Re: Fourier-Isosurfaces
Date: 27 Feb 2002 13:03:40
Message: <3c7d1f7c@news.povray.org>
Thies Heidecke <h3i### [at] gmxnet> wrote:
> For those who don't know what Fourier-Series are, short explanation:
> The theory behind Fourier-Series is that every (periodic) function can
> be represented through addition of sine/cosine-waves with variable
> amplitude and a frequency that is an integer multiple of a certain
> base frequency.

  I think that the Fourier series definition is more general than that.
IIRC it was something like: Every function can be represented with the
addition of any two orthogonal functions (sin and cos are just one example
of an orthogonal function pair).

-- 
#macro M(A,N,D,L)plane{-z,-9pigment{mandel L*9translate N color_map{[0rgb x]
[1rgb 9]}scale<D,D*3D>*1e3}rotate y*A*8}#end M(-3<1.206434.28623>70,7)M(
-1<.7438.1795>1,20)M(1<.77595.13699>30,20)M(3<.75923.07145>80,99)// - Warp -


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From: Dennis Miller
Subject: Re: Fourier-Isosurfaces
Date: 27 Feb 2002 19:18:23
Message: <3c7d774f$1@news.povray.org>
I'd like to synthesize tones from the same parameters; very simple with
additive synthesis. Do you plan to release the code for this work? Very
interesting indeed.
D.

"Thies Heidecke" <h3i### [at] gmxnet> wrote in message
news:3c7bb095@news.povray.org...
> Hi,
>
> I'm currently experimenting with Fourier-Series as isosurface-functions.


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From: David F
Subject: Re: Fourier-Isosurfaces
Date: 27 Feb 2002 19:34:05
Message: <3c7d7afd@news.povray.org>
Dennis Miller wrote:

> I'd like to synthesize tones from the same parameters; very simple with
> additive synthesis. Do you plan to release the code for this work? Very
> interesting indeed.
> D.

I would also like to see this code.  Could have lots of fun playing around!
-- 

David
smuchrusher <at> ameritech <dot> net
ICQ#: 118347772

3:16pm up 16:34, 0 users, load average: 1.13, 1.08, 1.04


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