POV-Ray : Newsgroups : povray.binaries.images : Thightening an iso? : Re: Thightening an iso? Server Time
14 Aug 2024 03:14:06 EDT (-0400)
  Re: Thightening an iso?  
From: Simon Lemieux
Date: 17 Dec 2002 20:20:02
Message: <3DFFCE01.FA9D64CB@no_spam.com>
> I still do not quite understand, what you want.

I'm sorry if I don't explain myself correctly...

> I assume at least that it could be described by
> some 2-dimensional shape that is rotated around
> the z-axis as it moves along the same.

That's it...

> In that
> case you need to describe the 2D shape by some
> 2D isosurface (isoperimeter, that is). Lets say
> that is described by f(x,y)=c. Then the 3D-shape
> is described by
>   f(x*cos(w*z)+y*sin(w*z),y*cos(w*z)-x*sin(w*z))=c
> which gives an isosurface all right. Now what I
> need to know is: What is your 2D-shape? In your
> scene it is defined by
>   a*(x^2+y^2)+b*x=c
> or, equivalently,
>   (x+b/2a)^2+y^2=c/a+(b/2a)^2
> Now this is a circle with center (-b/2a,0) and
> radius sqrt(c/a+(b/2a)^2). Maybe you would be
> more happy with an ellipse? To define one with
> radii rx in x-direction, ry in y-direction and
> center (cx,cy) take
>   f(x,y)=((x-cx)/rx)^2+((y-cy)/ry)^2
> and threshold 1. I do not know the scale in your
> scene, but maybe you would like to try
>   w=1/3, cx=2, cy=0, rx=3, ry=1

The circle is the shape I'm looking for, probably an elipse would make a
better result but it would have to rotate onto its center to make the
scene look right.  The circle is good!


So grabbing what you showed me, I guess this might give the results I'm
looking for...

#declare R = 0.1;
#declare Circle = function { pow(((x)/R),2)+pow(((y)/R), 2) }
isosurface {
  function { Circle(x*cos(w*z)+y*sin(w*z),y*cos(w*z)-x*sin(w*z)) }
[...]
}


Though, this gives me error in MegaPov, so I wasn't able to see the
results, I believe I missed something somewhere. It tells me that
instead of the first pow in the Circle function, it was looking for a
float factor.  What should I do?

Thanks,
  Simon


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