plot3d3

Arguments

X, Y, Z:

3 real matrices defining a data structure.

vect

a real vector.

<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 four. flag=[vertical_color, horizontal_color,type,box].

vertical_color

an integer (surface color), default is 3.

Colormap index defining the color used to draw vertical edges.

horizontal_color

an integer (surface color), default is 4.

Colormap index defining the color used to draw horizontal edges.

type

an integer (scaling) default is 2.

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, similarly to type=1.

type=4:

3d isometric bounds derived from the data, similarly to type=2.

type=5:

3d expanded isometric bounds with box bounds given by optional ebox, similarly to type=1.

type=6:

3d expanded isometric bounds derived from the data, similarly 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), default is 4.

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 account. 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).

hdl1, hdl2

These optional outputs are vectors of Polyline entities containing the two sets of entities for each isoparametric curve. Use them to eventually modify their properties For a list of properties, see polyline_properties.

Description

plot3d3 performs a mesh plot of a surface defined by facets X(i,j), X(i+1,j), X(i+1,j+1) and X(i,j+1) (similarly Y and Z matrices contain Y and Z-coordinates). However, unlike mesh which draws these facets plot3d3 draws two sets of isoparametric curves defined respectively by (X(i,:),Y(i,:),Z(i,:)) and by (X(:,j),Y(:,j),Z(:,j)).

The vect vector is used when multiple surfaces are coded in the same (X,Y,Z) matrices. vect(j) gives the line at which the coding of the jth surface begins. See plot3d2 for a full description.

Examples

u = linspace(-%pi/2,%pi/2,40);
v = linspace(0,2*%pi,20);
X = cos(u)'*cos(v);
Y = cos(u)'*sin(v);
Z = sin(u)'*ones(v);
[h1,h2]=plot3d3(X,Y,Z);
h1.foreground=color("red")
h2.foreground=color("blue");
h1.thickness=2;

See also

• plot3d2 — plot surface defined by rectangular facets
• plot3d — 3D plot of a surface
• param3d — plots a single curve in a 3D cartesian frame

History