[Solved] DE for Curved Plane

[vinz]

Hi,

I would like to include this simple shape in fragmentarium. Is someone able to gimme the DE for that?
i've tried some deformations and blends  from Iq Website, but i can't obtain a good result.
because i can't have the curved transition between the two planes.

Thanks for Any help.

[Kali]

This is one quick solution, but it doesn't work well when seeing the curvature from outside.
Now I'm thinking, maybe a deformation of a cylinder cut could work best, I'll give it a try.

[vinz]

EXACTLY !!!  what i needed ... Thanks you very Much Kali, you're Great Awesome  

[Kali]

Most welcome

Here is another version that works ok from all angles, but with fixed curvature, because with other settings I get strange results...
See if it works fine for you, this one is a cylinder section with a modified distance metric.

[vinz]

Hahaha Great to have a second solution ...  , thanks you for your time Kali, but it seems this one is not working for me ...
here what appear inside the preview window...

[Kali]

oops!  don't know what happened... works fine for me... mysteries of GLSL 

[vinz]

Hahahaha ! no problem the first one looks Great ! Thanks again Kali  

And to be able to control the curvature is really a Plus !

[Syntopia]

Pow's first argument must be positive. If you replace with:

Code:

float l=length(pow(abs(p.xy),vec2(4.))); 

it works.

[Kali]

Oh, that's right, I forgot! thanks Mikael!

Here's another solution, it should work fine, but the curvature is always semicircular.

[vinz]

Thanks for your Help Syntopia ... here it works but this is limitating because it need a huge amount of fuge factor.

[vinz]

Great Kali ! this one work well too ... could you gimme a hint ? how increase the width and the depht of the curved plane ? :

[Syntopia]

Shouldn't need any fudge. Be sure to keep the last power-function:
float l=length(pow(abs(p.xy),vec2(4.))); l=pow(l,.25);

[Kali]

This is the corrected version #2, now with curvature/width/depth sliders.

[vinz]

Shouldn't need any fudge. Be sure to keep the last power-function:
float l=length(pow(abs(p.xy),vec2(4.))); l=pow(l,.25);

It Work Fine my Bad ... ThanKs you Syntopia  

Code:

float  DE(vec3 p) {
float l=length(pow(abs(p.xy),vec2(4.))); l=pow(l,.25);
float d=max(abs(p.z)-1.,max(-l+1.,l-1.01));
d=max(d,p.x-.5); d=max(d,p.y-.5);
return d;
}

This is the corrected version #2, now with curvature slider.

Excellent, it's Work Great ... Thanks you so much for your Help Kali  

I've much more than what i need, Except a way to scale this in different axis, but i will figure out by myself
you're GREAT  

[vinz]

This is the corrected version #2, now with curvature/width/depth sliders.

AWESOME Kali ! this is PERFECT ... with Width and Depht sliders !!!!!!!!!!!!!!!!!