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From: Jan Walzer
Subject: Playing with Mandelbrot ...
Date: 24 Jan 2001 13:06:01
Message: <3a6f1989@news.povray.org>
thanks to Warp and his page, I got a nice thing to play with ...
I thougt about making the convergence or divergence of some points visible
...
the underground is a complete mandelset
above this there are some selected points, I recalculated, and showed the
movement while iteration ...
I didn't want to make an animation of it (quit long rendertime) and so i
placed a reflecting sphere in the upper left, to make the 3D-structure
visible ...

Not what I hoped to see, but I was just playing ...


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From: Jan Walzer
Subject: Re: Playing with Mandelbrot ...
Date: 24 Jan 2001 14:20:11
Message: <3a6f2aeb@news.povray.org>
Oh damn ...
I realised that I forgot to resize the img ...
I only applied the mosaic-filter to it, but forgot to scale it to 50% :-(

That's the reason for the blurry-look, and the quite high imagesize ...


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From: Zeger Knaepen
Subject: Re: Playing with Mandelbrot ...
Date: 24 Jan 2001 14:37:07
Message: <3a6f2ee3$1@news.povray.org>
Why would you first mosaic it before resizing it?  Isn't resampling enough?

cu!


--
ZK
http://www.povplace.be.tf

> Oh damn ...
> I realised that I forgot to resize the img ...
> I only applied the mosaic-filter to it, but forgot to scale it to 50% :-(
>
> That's the reason for the blurry-look, and the quite high imagesize ...


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From: Jan Walzer
Subject: Re: Playing with Mandelbrot ...
Date: 24 Jan 2001 17:20:40
Message: <3a6f5538@news.povray.org>
> Why would you first mosaic it before resizing it?  Isn't resampling
enough?
>
When I just resize the image, only every 2nd Pixel(in x and y) would be
taken in the resulting image ...
this would lead to aliasing-artifacts ... we would get our nice
stairsteps...

If you apply first a 2x2-Mosaic-Filter to the image the four pixels would be
averaged, and you can lessen the aliasing ...
You can prove that if you do the following:
Take one picture, and resize it to 50%
Then take another image, apply the mosaic and then resize the image.

Now create a difference-picture of the both ...
Probably you will see everything black now, but if you take the time, to
adjust the brightness/contrast you will see,that there are differences
(especially on sharp corners) between the pictures ...
First move the brightness until the black parts are at 49%White, then raise
the contrast ...

OK ... Maybe better programs like Photoshop (or photoshop-class-programs) to
this automatically, but I prefer to do this myself ... I don't simply trust
the smart-resize-option ...

OK ... so far ..

--
Jan Walzer <jan### [at] lzernet>


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From: David Fontaine
Subject: Re: Playing with Mandelbrot ...
Date: 24 Jan 2001 18:16:18
Message: <3A6F6217.33D85E2C@faricy.net>
Jan Walzer wrote:

> When I just resize the image, only every 2nd Pixel(in x and y) would be
> taken in the resulting image ...
> this would lead to aliasing-artifacts ... we would get our nice
> stairsteps...

Then whatever imaging program you have is quite lacking! Hope it's not PSP or
Photoshop.

--
David Fontaine  <dav### [at] faricynet>  ICQ 55354965
My raytracing gallery:  http://davidf.faricy.net/


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From: Anton Sherwood
Subject: Re: Playing with Mandelbrot ...
Date: 25 Jan 2001 01:00:55
Message: <3A6FC329.5076065D@pobox.com>
Jan Walzer wrote:
> I thougt about making the convergence or divergence of some points
> visible ...

Something I mean to try someday:

Complex numbers can be expressed in a fairly natural way as colors: do a
stereographic projection from the complex plane onto a sphere, and embed
that sphere in the color cube.

My idea is an animation of the Mandelbrot iteration: frame N shows, as
color, the number to which each original pixel is mapped after N steps.

-- 
Anton Sherwood  --  br0### [at] p0b0xcom  --  http://ogre.nu/


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From: Jan Walzer
Subject: Re: Playing with Mandelbrot ...
Date: 25 Jan 2001 04:35:04
Message: <3a6ff348@news.povray.org>
> > When I just resize the image, only every 2nd Pixel(in x and y) would be
> > taken in the resulting image ...
> > this would lead to aliasing-artifacts ... we would get our nice
> > stairsteps...
>
> Then whatever imaging program you have is quite lacking! Hope it's not PSP
or
> Photoshop.

I said before: I simply don't trust the smart-resize-function of PSP....
It has also other resize modes, (quadratic,cubic) which only seem useful to
me when scaling the image >100% ...

Of course, I think Photoshop will do it right, but it's another class...

Hey: This discussion was NOT the intention of the picture ... ;-)

--
Jan Walzer


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From: Jan Walzer
Subject: Re: Playing with Mandelbrot ...
Date: 25 Jan 2001 04:37:51
Message: <3a6ff3ef@news.povray.org>
> > I thougt about making the convergence or divergence of some points
> > visible ...
>
> Something I mean to try someday:
>
> Complex numbers can be expressed in a fairly natural way as colors: do a
> stereographic projection from the complex plane onto a sphere, and embed
> that sphere in the color cube.
What advantages do you hope to get from this ???

> My idea is an animation of the Mandelbrot iteration: frame N shows, as
> color, the number to which each original pixel is mapped after N steps.

Of course, I can't say that I really understood, what you want to make
visible...
how yould the image look like after that ???

--
Jan Walzer


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From: KalleK
Subject: Re: Playing with Mandelbrot ...
Date: 25 Jan 2001 11:25:20
Message: <3a705370@news.povray.org>
Hi Jan!

And I once wanted to write a program that would just do, what your image does. Showing
the
Iterations in the mandel. There always is someone who realizes your ideas bevore you
do. And he did
a good job. I had something like that in my mind, even if it was not intended - as you
said.

cukk


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From: David Fontaine
Subject: Re: Playing with Mandelbrot ...
Date: 25 Jan 2001 23:12:02
Message: <3A70F90F.4A2CDEAF@faricy.net>
Jan Walzer wrote:

> I said before: I simply don't trust the smart-resize-function of PSP....
> It has also other resize modes, (quadratic,cubic) which only seem useful to
> me when scaling the image >100% ...
>
> Of course, I think Photoshop will do it right, but it's another class...

oh, ok
I trust my program but that's me I guess

--
David Fontaine  <dav### [at] faricynet>  ICQ 55354965
My raytracing gallery:  http://davidf.faricy.net/


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