Hello Paul,
Le 10/09/2018 à 09:29, Carrico, Paul a écrit :
Dear all
Thanks Christophe, Rafael and Stéphane for the first feedback;
Only obvious things in the code hereafter, but it highlights I guess
what I would like to do (to cross section the surface); the results
are not really noisy and their number is of about few hundred.
Concerning the Delaunay approach, I thought about it but I've been
thinking a simplest solution may exist if I can plot the surface
(interpolation from the grid) ?
in your set of (x_i,y_i,z_i) 3D points, are the (x_i,y_i) organized on a
grid, i.e. cartesian product [discrete values of x] times [discrete
values of y] ?
S.
Paul
###########################################
mode(0)
function[*z*]=_saddle_(*x*, *y*)
*z* = *x*^2 - *y*^2
endfunction
function[*z*]=_x_square_(*x*, *d*)
*z* = *x*^2 - *d*^2
endfunction
function[*z*]=_y_square_(*y*, *d*)
*z* = *y*^2 - *d*^2
endfunction
/// surface making ... of course in the real life the surface comes
from experimental data (no Cartesian equation is attached on))/
n= 50;
x= linspace(-2,2,n)';
y= linspace(-1,3,n)';
z= feval(x,y,_saddle_);
scf(0);
plot3d(x,y,z);
/// obvious cases/
/// n = (0 1 0) then z = x^2 - d^2/
d= 0;
z1= _x_square_(x,d);
scf(1);
plot(x,z1);
/// n = (1 0 0) then z = d^2 - y^2/
d= 0;
z2= _y_square_(y,d);
scf(2);
plot(x,z2);
-----Message d'origine-----
De : users [mailto:[email protected]] De la part de Dang
Ngoc Chan, Christophe
Envoyé : lundi 10 septembre 2018 09:15
À : Users mailing list for Scilab
Objet : [EXTERNAL] Re: [Scilab-users] A plane intersecting a surface
Hello,
> De : users [mailto:[email protected]] De la part de
Rafael Guerra
> Envoyé : samedi 8 septembre 2018 14:52
>
> If your cloud of points behaves well enough, you can interpolate it
first into a dense
If nobody is expert in this field, then I could invoke a memory when I
was a student.
I've heard about an algorithm using intercept with tetrahedrons,
it was used for surface rendering.
So you might perform a Delaunay tessellation of your cloud,
determine which tetrahedrons are cut
and determine the coordinates of the intercepts.
Or ask some CGI specialists.
HTH
Regards
--
Christophe Dang Ngoc Chan
Mechanical calculation engineer
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Stéphane Mottelet
Ingénieur de recherche
EA 4297 Transformations Intégrées de la Matière Renouvelable
Département Génie des Procédés Industriels
Sorbonne Universités - Université de Technologie de Compiègne
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