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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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"Slime" <noo### [at] hotmail com> 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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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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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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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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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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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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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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"Dennis Miller" <dhm### [at] attbicom> schrieb im Newsbeitrag
news: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?
Sure, i will release the code if someone is interested, but at the moment
the code is just experimental and not very well structured. I wanted to
post a final version as a nice .inc-file but if u like i can post what i
have so far.
> Very interesting indeed.
Thanks
> D.
Thies Heidecke
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"David F" <smu### [at] ameritechnet> schrieb im Newsbeitrag
news: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!
> 3:16pm up 16:34, 0 users, load average: 1.13, 1.08, 1.04
ok, i just posted the source in p.b.s-f.
have fun with it
Thies Heidecke
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