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geom3d

projection 3D vers 2D après une instruction de dessin 3D

Séquence d'appel

[x,y]=geom3d(x1,y1,z1)

Paramètres

x1,y1,z1

vecteur réels de même taille (points 3D).

x,y

vecteurs réels de même taille que x1, y1 et z1.

Description

Après l'utilisation d'une instruction de dessin 3D du type plot3d, plot3d1 ou param3d, geom3d permet de faire la correspondance entre un point de l'espace 3D (x1(i),y1(i),z1(i)) et le point correspondant (x(i),y(i)) dans le plan projeté 2D. On peut ainsi utiliser les primitives graphiques avec (x,y) pour superposer des dessins.

Exemples

deff("[z]=surface(x,y)","z=sin(x)*cos(y)")
t=%pi*(-10:10)/10;
// 3D plot of the surface
fplot3d(t,t,surface,35,45,"X@Y@Z")
// now (t,t,sin(t).*cos(t)) is a curve on the surface
// which can be drawn using geom3d and xpoly
[x,y]=geom3d(%pi/2,0,surface(%pi/2,0))
my_plot_desc          = "plot3d and use of geom3d";

  r = (%pi):-0.01:0;
x = r.*cos(10*r);
y = r.*sin(10*r);

deff("[z]=Surf(x,y)","z=sin(x)*cos(y)");
t=%pi*(-10:10)/10;

// Plot the surface'
fplot3d(t,t,Surf,35,45,"X@Y@Z",[19,2,3]);

// Add 2d graphics on 3d graphic'
z=(sin(x).*cos(y));
[x1,y1] = geom3d(x,y,z);
xpoly(x1,y1,"lines");

// Adjust some plotting parameters'
BackgroundColorId           = color(70,174,255);
current_axe                 = gca();
plot_3d                     = current_axe.children(2);
plot_3d.hiddencolor         = 32;
polyline                    = current_axe.children(1)';;
polyline.foreground         = 8;
current_axe.rotation_angles = [70,47];
current_axe.background      = BackgroundColorId;

// A second 2d graphics'
[x1,y1] = geom3d([0,0],[0,0],[5,0]);
xsegs(x1,y1);
xstring(x1(1),y1(1),"The point (0,0,0)");

xtitle(my_plot_desc," "," "," ");
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Last updated:
Mon Jun 17 17:52:28 CEST 2024