Man Scilab

plot3d - 3D plot of a surface

Calling Sequence

plot3d(x,y,z,[theta,alpha,leg,flag,ebox])

plot3d(x,y,z,<opt_args>)

plot3d(xf,yf,zf,[theta,alpha,leg,flag,ebox])

plot3d(xf,yf,zf,<opt_args>)

plot3d(xf,yf,list(zf,colors),[theta,alpha,leg,flag,ebox])

plot3d(xf,yf,list(zf,colors),<opt_args>)

Parameters

• x,y : row vectors of sizes n1 and n2 (x-axis and y-axis coordinates). These coordinates must be monotone.
• z : matrix of size (n1,n2). z(i,j) is the value of the surface at the point (x(i),y(j)).
• xf,yf,zf : matrices of size (nf,n). They define the facets used to draw the surface. There are n facets. Each facet i is defined by a polygon with nf points. The x-axis, y-axis and z-axis coordinates of the points of the ith facet are given respectively by xf(:,i) , yf(:,i) and zf(:,i) .
• colors : a vector of size n giving the color of each facets or a matrix of size (nf,n) giving color near each facet boundary (facet color is interpolated ).
• <opt_args> : This represents a sequence of statements key1=value1, key2=value2 ,... where key1 , key2,... can be one of the following: theta, alpha ,leg,flag,ebox (see definition below).
• theta, alpha : real values giving in degree the spherical coordinates of the observation point.
• leg : string defining the labels for each axis with @ as a field separator, for example "X@Y@Z".
• flag : a real vector of size three. flag=[mode,type,box] .
  • mode : an integer (surface color).
    • mode>0 : the surface is painted with color "mode" ; the boundary of the facet is drawn with current line style and color.
    • mode=0: a mesh of the surface is drawn.
    • mode<0: the surface is painted with color "-mode" ; the boundary of the facet is not drawn.

      Note that the surface color treatement can be done using color_mode and color_flag options through the surface entity properties (see surface_properties ).

  • type : an integer (scaling).
    • type=0: the plot is made using the current 3D scaling (set by a previous call to param3d , plot3d , contour or plot3d1 ).
    • type=1: rescales automatically 3d boxes with extreme aspect ratios, the boundaries are specified by the value of the optional argument ebox .
    • type=2: rescales automatically 3d boxes with extreme aspect ratios, the boundaries are computed using the given data.
    • type=3: 3d isometric with box bounds given by optional ebox , similarily to type=1 .
    • type=4: 3d isometric bounds derived from the data, to similarily type=2 .
    • type=5: 3d expanded isometric bounds with box bounds given by optional ebox , similarily to type=1 .
    • type=6: 3d expanded isometric bounds derived from the data, similarily to type=2 .

      Note that axes boundaries can be customized through the axes entity properties (see axes_properties ).

  • box : an integer (frame around the plot).
    • box=0: nothing is drawn around the plot.
    • box=1: unimplemented (like box=0).
    • box=2: only the axes behind the surface are drawn.
    • box=3: a box surrounding the surface is drawn and captions are added.
    • box=4: a box surrounding the surface is drawn, captions and axes are added.

      Note that axes aspect can also be customized through the axes entity properties (see axes_properties ).

• ebox : It specifies the boundaries of the plot as the vector [xmin,xmax,ymin,ymax,zmin,zmax] . This argument is used together with type in flag : if it is set to 1 , 3 or 5 (see above to see the corresponding behaviour). If flag is missing, ebox is not taken into acoount.

  Note that, when specified, the ebox argument acts on the data_bounds field that can also be reset through the axes entity properties (see axes_properties ).

Description

plot3d(x,y,z,[theta,alpha,leg,flag,ebox]) draws the parametric surface z=f(x,y) .

plot3d(xf,yf,zf,[theta,alpha,leg ,flag,ebox]) draws a surface defined by a set of facets. You can draw multiple plots by replacing xf , yf and zf by multiple matrices assembled by rows as [xf1 xf2 ...] , [yf1 yf2 ...] and [zf1 zf2 ...] . Note that data can also be set or get through the surface entity properties (see surface_properties ).

You can give a specific color for each facet by using list(zf,colors) instead of zf , where colors is a vector of size n . If colors(i) is positive it gives the color of facet i and the boundary of the facet is drawn with current line style and color. If colors(i) is negative, color id -colors(i) is used and the boundary of the facet is not drawn.

It is also possible to get interpolated color for facets. For that the color argument must be a matrix of size nfxn giving the color near each boundary of each facets. In this case positive values for colors mean that the boundary are not drawn. Note that colors can also be set through the surface entity properties (via tlist affectations) and edited using color_flag option (see surface_properties ).

The optional arguments theta, alpha, leg ,flag, ebox , can be passed by a sequence of statements key1=value1, key2=value2 , ... In this case, the order has no special meaning. Note that all these optional arguments except flag can be customized through the axes entity properties (see axes_properties ). As described before, the flag option deals with surface entity properties for mode (see surface_properties ) and axes properties for type and box (see axes_properties ).

You can use the function genfac3d to compute four sided facets from the surface z=f(x,y) . eval3dp can also be used.

Enter the command plot3d() to see a demo.

More information

To get more information on the plot3d old syntax , use the plot3d_old_version help document.

Examples

// simple plot using z=f(x,y) t=[0:0.3:2*%pi]'; z=sin(t)*cos(t'); plot3d(t,t,z) // same plot using facets computed by genfac3d [xx,yy,zz]=genfac3d(t,t,z); clf() plot3d(xx,yy,zz) // multiple plots clf() plot3d([xx xx],[yy yy],[zz 4+zz]) // multiple plots using colors clf() plot3d([xx xx],[yy yy],list([zz zz+4],[4*ones(1,400) 5*ones(1,400)])) // simple plot with viewpoint and captions clf() plot3d(1:10,1:20,10*rand(10,20),alpha=35,theta=45,flag=[2,2,3]) // plot of a sphere using facets computed by eval3dp deff("[x,y,z]=sph(alp,tet)",["x=r*cos(alp).*cos(tet)+orig(1)*ones(tet)";.. "y=r*cos(alp).*sin(tet)+orig(2)*ones(tet)";.. "z=r*sin(alp)+orig(3)*ones(tet)"]); r=1; orig=[0 0 0]; [xx,yy,zz]=eval3dp(sph,linspace(-%pi/2,%pi/2,40),linspace(0,%pi*2,20)); clf();plot3d(xx,yy,zz) clf(); f=gcf(); f.color_map = hotcolormap(128); r=0.3;orig=[1.5 0 0]; [xx1,yy1,zz1]=eval3dp(sph,linspace(-%pi/2,%pi/2,40),linspace(0,%pi*2,20)); cc=(xx+zz+2)*32;cc1=(xx1-orig(1)+zz1/r+2)*32; clf();plot3d1([xx xx1],[yy yy1],list([zz,zz1],[cc cc1]),theta=70,alpha=80,flag=[5,6,3]) //Available operations using only New Graphics... delete(gcf()); t=[0:0.3:2*%pi]'; z=sin(t)*cos(t'); [xx,yy,zz]=genfac3d(t,t,z); plot3d([xx xx],[yy yy],list([zz zz+4],[4*ones(1,400) 5*ones(1,400)])) e=gce(); f=e.data; TL = tlist(["3d" "x" "y" "z" "color"],f.x,f.y,f.z,6*rand(f.z)); // random color matrix e.data = TL; TL2 = tlist(["3d" "x" "y" "z" "color"],f.x,f.y,f.z,4*rand(1,800)); // random color vector e.data = TL2; TL3 = tlist(["3d" "x" "y" "z" "color"],f.x,f.y,f.z,[20*ones(1,400) 6*ones(1,400)]); e.data = TL3; TL4 = tlist(["3d" "x" "y" "z"],f.x,f.y,f.z); // no color e.data = TL4; e.color_flag=1 // color index proportional to altitude (z coord.) e.color_flag=2; // back to default mode e.color_flag= 3; // interpolated shading mode (based on blue default color) clf() plot3d([xx xx],[yy yy],list([zz zz+4],[4*ones(1,400) 5*ones(1,400)])) h=gce(); //get handle on current entity (here the surface) a=gca(); //get current axes a.rotation_angles=[40,70]; a.grid=[1 1 1]; //make grids a.data_bounds=[-6,6;6,-1;0,5]; a.axes_visible="off"; //axes are hidden a.axes_bounds=[.2 0 1 1]; h.color_flag=1; //color according to z h.color_mode=-2; //remove the facets boundary by setting color_mode to white color h.color_flag=2; //color according to given colors h.color_mode = -1; // put the facets boundary back by setting color_mode to black color f=gcf();//get the handle of the parent figure f.color_map=hotcolormap(512); c=[1:400,1:400]; TL.color = [c;c+1;c+2;c+3]; h.data = TL; h.color_flag=3; // interpolated shading mode

See Also

eval3dp ,   genfac3d ,   geom3d ,   param3d ,   plot3d1 ,   clf ,   gca ,   gcf ,   xdel ,   delete ,  

Author

J.Ph.C.

Back