Name

param3d — 3D plot of a parametric curve

Calling Sequence

param3d(x,y,z,[theta,alpha,leg,flag,ebox])

Parameters

x,y,z

three vectors of the same size (points of the parametric curve).

theta, alpha

real values giving in degree the spherical coordinates of the observation point. The default values are 35 and 45 degree.

leg

string defining the labels for each axis with @ as a field separator, for example "X@Y@Z".

flag=[type,box]

type and box have the same meaning as in plot3d:

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. This is the default value.

type=3

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

type=4

3d isometric bounds derived from the data, similarily to 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). This is the default value.

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). The ebox default value is [0,1,0,1,0,1].

Description

param3d is used to plot a 3D curve defined by its coordinates x, y and z. Note that data can also be got or modified through the surface entity properties (see surface_properties).

Note that properties like rotation angles, colors and thickness of the plotted curves can also be got or modified through the polyline entity properties (see polyline_properties).

Use param3d1 to do multiple plots.

Enter the command param3d() to see a demo.

Examples

 
t=0:0.1:5*%pi;
param3d(sin(t),cos(t),t/10,35,45,"X@Y@Z",[2,3])

e=gce() //the handle on the 3D polyline

e.foreground=color('red');

a=gca(); //the handle on the axes
a.rotation_angles=[10 70];

See Also

param3d1, plot3d

Authors

J.Ph.C.