# plot3d1

3D gray or color level plot of a surface

### Syntax

plot3d1(x,y,z,[theta,alpha,leg,flag,ebox]) plot3d1(xf,yf,zf,[theta,alpha,leg,flag,ebox]) plot3d1(x,y,z,<opts_args>) plot3d1(xf,yf,zf,<opts_args>)

### Arguments

- 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)`

.- <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 treatment 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 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).

### Description

`plot3d1`

plots a surface with colors depending on the
z-level of the surface. This special plot function can also be enabled
setting `color_flag=1`

after a `plot3d`

(see
surface_properties)

Enter the command `plot3d1()`

to see a demo.

### Examples

// same plot using facets computed by genfac3d t=[0:0.3:2*%pi]'; z=sin(t)*cos(t'); [xx,yy,zz]=genfac3d(t,t,z); plot3d1(xx,yy,zz)

// multiple plots t=[0:0.3:2*%pi]'; z=sin(t)*cos(t'); [xx,yy,zz]=genfac3d(t,t,z); plot3d1([xx xx],[yy yy],[zz 4+zz])

// simple plot with viewpoint and captions plot3d1(1:10,1:20,10*rand(10,20),35,45,"X@Y@Z",[2,2,3])

// same plot without grid plot3d1(1:10,1:20,10*rand(10,20),35,45,"X@Y@Z",[-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)); plot3d(xx,yy,zz) e=gce(); e.color_flag=1; scf(2); plot3d1(xx,yy,zz) // the 2 graphics are similar

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