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nextstep

Joined: 06 Jan 2007
Posts: 539

 Posted: Tue Dec 30, 2008 7:34 pm    Post subject: Hi Gerd, What a beautiful (and complex object) Cube May the complexity be always with you in 2009 _________________Cheers, Abderrahman
inode

Joined: 27 Jan 2007
Posts: 127
Location: Austria

Posted: Fri Jul 03, 2009 8:04 am    Post subject: Archimedian Spirals

Let's play with archimedian spirals!
So copy this codes to your 'personal.k3ds' file for further experiments...

 Code: Name: PG_ArchiSpiral_1 /* Isosurface: PG_ArchiSpiral_1  clockwise spiral  1/2009 Gerd Platl */ F(): 0.5 - z*z - sin((sqrt(x*x+y*y) - 0.5*atan2(y,x)))^2 [x]: -9 , 9 [y]: -9 , 9 [z]: -0.71 , 0.71 ;

 Code: Name: PG_ArchiSpiral_2 /* Isosurface: PG_ArchiSpiral_2  counterclockwise spiral  1/2009 Gerd Platl */ F(): 0.5 - z*z - sin((sqrt(x*x+y*y) + 0.5*atan2(y,x)))^2 [x]: -9 , 9 [y]: -9 , 9 [z]: -0.71 , 0.71 ;

 Code: Name: PG_DoubleSpiral_1 /* Isosurface: PG_DoubleSpiral_1  1/2009 Gerd Platl */ F(): 0.5 - z*z - sin((sqrt(x^2+y^2) -atan2(y,x)))^2 [x]: -9 , 9 [y]: -9 , 9 [z]: -0.71 , 0.71 ;

 Code: Name: PG_OverlapSpiral_3 /* Isosurface: PG_OverlapSpiral_3  7/2009 Gerd Platl */ F(): 0.05 -z*z - sin((sqrt(x*x+y*y)))^2 + sin((sqrt(x*x+y*y)   - (11*atan2(y,x))))^2 [x]: -9 , 9 [y]: -9 , 9 [z]: -1.1 , 1.1 ;

Last edited by inode on Sun Nov 04, 2012 1:09 pm; edited 1 time in total
inode

Joined: 27 Jan 2007
Posts: 127
Location: Austria

 Posted: Tue Aug 25, 2009 7:09 am    Post subject: Was playing around with object transparency. Here are some pictures... http://www.flickr.com/photos/flisp3d/4170676913/ http://www.flickr.com/photos/flisp3d/4171434398/ http://www.flickr.com/photos/flisp3d/4170677703/ Last edited by inode on Tue Aug 03, 2010 12:13 pm; edited 4 times in total
inode

Joined: 27 Jan 2007
Posts: 127
Location: Austria

 Posted: Tue Aug 25, 2009 9:43 am    Post subject: Twisted Torus And here are some PovRay pictures of a 4 edges twisted torus... Using polished metal as material gives some nice reflections... Twisted Torus combined with a Schartz surface.. 12 edges twisting around the torus... Last edited by inode on Fri Jul 09, 2010 1:52 pm; edited 5 times in total
inode

Joined: 27 Jan 2007
Posts: 127
Location: Austria

 Posted: Wed Aug 26, 2009 8:55 am    Post subject: some pillar examples... Last edited by inode on Sat Jan 22, 2011 10:01 am; edited 7 times in total
jotero

Joined: 27 Jan 2007
Posts: 153
Location: Germany Hannover

 Posted: Thu Aug 27, 2009 12:45 pm    Post subject: Hello Gerd, very nice and interesting work! ciao Torolf_________________Kontakte
nextstep

Joined: 06 Jan 2007
Posts: 539

 Posted: Sat Sep 19, 2009 5:17 am    Post subject: Hi all, Very funny collection Gerd ...Thanks for sharing_________________Cheers, Abderrahman
inode

Joined: 27 Jan 2007
Posts: 127
Location: Austria

Posted: Fri Jul 09, 2010 1:38 pm    Post subject:

inspired by joteros surface design I was creating this nice sculpture

 Code: Name: PG_SurfaceDesign_1 /* Isosurface: PG_SurfaceDesign_1, 6/2010 by Gerd Platl */ F(): 0.7 - abs (cos(x)*sin(z) + cos(y)*sin(x) + cos(z)*sin(y)) / 0.4 -0.85*abs (sin(3*x)*sin(2*y)*sin(z)          + sin(2*x)*sin(3*y)*sin(z)          + sin(3*x)*sin(y)*sin(2*z)          + sin(x)*sin(3*y)*sin(2*z)          + sin(2*x)*sin(y)*sin(3*z)          + sin(x)*sin(2*y)*sin(3*z)) -(x^22 + y^22 + z^22)*2E-14 [x]: -4.5 , 4.5 [y]: -4.5 , 4.5 [z]: -4.5 , 4.5 ;

Last edited by inode on Sat Jan 22, 2011 9:59 am; edited 1 time in total
inode

Joined: 27 Jan 2007
Posts: 127
Location: Austria

 Posted: Sat Jan 22, 2011 9:51 am    Post subject: Another surface variant Another surface variant rendered with PovRay 3.7RC1
inode

Joined: 27 Jan 2007
Posts: 127
Location: Austria

Posted: Sun Aug 05, 2012 4:50 am    Post subject: Supernuts

Some short but interesting formulas... Supernuts

 Code: Name: PG_SuperNut1 /* Isosurface:  PG_SuperNut1  8/2012 Gerd Platl */ F(): (1-sqrt(x^2+y^2+z^2))^9 - y^2*x^2*z^2 [x]: -1 , 1 [y]: -1 , 1 [z]: -1 , 1 ; Name: PG_SuperNut2 /* Isosurface:  PG_SuperNut2  8/2012 Gerd Platl */ F(): (1-(x^22+y^22+z^22))^9 - 1000*y^2*x^2*z^2 [x]: -1 , 1 [y]: -1 , 1 [z]: -1 , 1 ; Name: PG_SuperNut3 /* Isosurface:  PG_SuperNut3  8/2012 Gerd Platl */ F(): (1-sqrt(sqrt(x^8+y^8+z^8)))^9 - y^2*x^2*z^2 [x]: -1 , 1 [y]: -1 , 1 [z]: -1 , 1 ; Name: PG_SuperNut4 /* Isosurface:  PG_SuperNut4  8/2012 Gerd Platl */ F(): (1-(x^8+y^8+z^8))^7 - y^2*x^2*z^2 [x]: -1 , 1 [y]: -1 , 1 [z]: -1 , 1 ;
inode

Joined: 27 Jan 2007
Posts: 127
Location: Austria

Posted: Tue Aug 07, 2012 1:14 pm    Post subject: Barths s.e.x.t.i.k and decic surface variations...

A nice variation of Barths Se.xtik surface...

 Code: Name: PG_Se.xtikStar_1 /* Isosurface: PG_SectikStar_1  7/2012  Gerd Platl */ F(): 0.3 + 4*(((1+sqrt(5))/2)^2*x^2-y^2)             *(((1+sqrt(5))/2)^2*y^2-z^2)             *(((1+sqrt(5))/2)^2*z^2-x^2)      - (x^2+y^2+z^2-1)^2 * 5 [x]: -1.36 , 1.36 [y]: -1.36 , 1.36 [z]: -1.36 , 1.36 ;

And a nice variation of Barths Decic surface...

 Code: Name: PG_DecicStar_1 /* Isosurface: PG_DecicStar_1  8/2012  Gerd Platl */ F(): 0.5 -8  * (x^2-((sqrt(5)+1)/2)^4*y^2)  * (y^2-((sqrt(5)+1)/2)^4*z^2)  * (z^2-((sqrt(5)+1)/2)^4*x^2)  * (x^4+y^4+z^4 - 2*x^2*y^2                 - 2*y^2*z^2                 - 2*z^2*x^2)  - (3 + 5*(sqrt(5)+1)/2) * (x^2+y^2+z^2 - 1)^2          * (x^2+y^2+z^2 - (1.6- (sqrt(5)+1)/2))^2  - (x^2+y^2+z^2-1)^2 [x]: -1.32 , 1.32 [y]: -1.32 , 1.32 [z]: -1.32 , 1.32 ;

Stefan was rendering this figure using bright copper metal with the Maxwell renderer at http://forum.jotero.com/viewtopic.php?t=258&postdays=0&postorder=asc&start=90. Isn't it brilliant?

(ps. pictures created with my 'Algebraic Surface Viewer')

Last edited by inode on Thu May 02, 2013 1:36 pm; edited 2 times in total
Furan

Joined: 05 Oct 2010
Posts: 64
Location: Prague, Czech Republic

 Posted: Fri Aug 10, 2012 6:33 pm    Post subject: It's a nice object indeed.
inode

Joined: 27 Jan 2007
Posts: 127
Location: Austria

 Posted: Mon Aug 13, 2012 8:05 am    Post subject: Rendering details ? Hi Furan That's really a beautiful visualised object using that green glass. The ray refractions and reflektions produce an interesting and contrasty picture. Please can you give us more detailed information about the rendering process? Which render engine do you use? How long was the rending time ? used CPU ? number of light sources ? any other noteable infos you can give to us ? Gerd
Furan

Joined: 05 Oct 2010
Posts: 64
Location: Prague, Czech Republic

Posted: Mon Aug 13, 2012 10:32 am    Post subject:

I used my own fortran engine for meshless rendering. http://furan.sweb.cz/
This image was rendered in 10x10 AA, on three cores in several hours. Up to 20 branches in reflection/refraction ray tree. No dispersion.
I think I may have used a slight internal glow in the glass to make it more realistic (to mimic subsurface scattering).
Background function is
 Code: DO f=1,3 BGND(f)=0.35*(-0.25*f*(1+0.3*ry)+1.5*(1+0.3*rx))+8*exp(-20*rx**2-20*ry**2) END DO

with [rx ry rz] as the escaping ray vector and f as RGB color identifier.
This function is of course too complex, it's a remnant of a more sophisticated function.
So from the last part of the expression you can see there are two major light sources, right above and under. The camera position is [5.3 3.7 4.5] relative to the center of the object.
At the end I used a filter for bloom effect but its almost negligible.
There are still things I don't like. I mean the black areas, where my interpolating algorithm collapsed and where I decided to skip the whole subpixel calculation. Something went wrong in there, it's still work in progress. I now have a working algorithm for correcting any part of the image. I can take the image, paint all artefacts with bright green [0,1,0] and it identifies the pixels and calculates them with better precision or so. It's so cool
inode

Joined: 27 Jan 2007
Posts: 127
Location: Austria

 Posted: Mon Aug 13, 2012 1:21 pm    Post subject: Hi Furan Many thank for your detailed description!Last edited by inode on Mon Aug 13, 2012 1:27 pm; edited 3 times in total
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