fmesh
Plot 3-D mesh
Syntax
Description
fmesh(
creates a
mesh plot of the expression f
)z = f(x,y)
over the
default interval [-5 5]
for x
and y
.
fmesh(
plots
over the specified interval. To use the same interval for both f
,xyinterval
)x
and y
,
specify xyinterval
as a two-element vector of
the form [min max]
. To use different intervals,
specify a four-element vector of the form [xmin xmax ymin
ymax]
.
fmesh(
plots
the parametric mesh over the specified interval. To use the same interval
for both funx
,funy
,funz
,uvinterval
)u
and v
, specify uvinterval
as
a two-element vector of the form [min max]
. To
use different intervals, specify a four-element vector of the form [umin
umax vmin vmax]
.
fmesh(___,
sets
the line style, marker symbol, and color of the mesh. For example, LineSpec
)'-r'
specifies
red lines. Use this option after any of the previous input argument
combinations.
fmesh(___,
specifies
properties of the mesh using one or more name-value pair arguments.
Use this option with any of the input argument combinations in the
previous syntaxes.Name,Value
)
fmesh(
plots
into the axes specified by ax
,___)ax
instead of the
current axes gca
.
returns
a fs
= fmesh(___)FunctionSurface
object or a ParameterizedFunctionSurface
object,
depending on the inputs. Use fs
to query and modify
properties of a specific surface. For a list of properties, see FunctionSurface Properties or ParameterizedFunctionSurface Properties.
Examples
3-D Mesh Plot of Expression
Parameterized Mesh Plot
Plot the parameterized mesh
for and . Make the mesh partially transparent using alpha
.
r = @(s,t) 2 + sin(7.*s + 5.*t); x = @(s,t) r(s,t).*cos(s).*sin(t); y = @(s,t) r(s,t).*sin(s).*sin(t); z = @(s,t) r(s,t).*cos(t); fmesh(x,y,z,[0 2*pi 0 pi]) alpha(0.8)
Specify Interval of Mesh Plot and Plot Piecewise Input
Plot the piecewise input
over the interval
Specify the plotting interval as the second argument of fmesh
. When you plot multiple inputs over different intervals in the same axes, the axis limits adjust to include all the data.
fmesh(@(x,y) erf(x)+cos(y),[-5 0 -5 5]) hold on fmesh(@(x,y) sin(x)+cos(y),[0 5 -5 5]) hold off
Specify Mesh Plot Properties
Input Arguments
f
— 3-D function to plot
function handle
3-D function to plot, specified as a function handle to a named or anonymous function.
Specify a function of the form z = f(x,y)
.
The function must accept two matrix input arguments and return a matrix
output argument of the same size. Use array operators instead of matrix
operators for the best performance. For example, use .*
(times
)
instead of * (mtimes
).
Example: f = @(x,y) sin(x) + cos(y);
xyinterval
— Plotting interval for x
and y
[-5 5 -5 5]
(default) | vector of form [min max]
| vector of form [xmin xmax ymin ymax]
Plotting interval for x
and y
,
specified in one of these forms:
Vector of form
[min max]
— Use the interval[min max]
for bothx
andy
Vector of form
[xmin xmax ymin ymax]
— Use the interval[xmin xmax]
forx
and[ymin ymax]
fory
.
funx
— Parametric function for x coordinates
function handle
Parametric function for x coordinates, specified as a function handle to a named or anonymous function.
Specify a function of the form x = funx(u,v)
.
The function must accept two matrix input arguments and return a matrix
output argument of the same size. Use array operators instead of matrix
operators for the best performance. For example, use .*
(times
)
instead of * (mtimes
).
Example: funx = @(u,v) u.*sin(v);
funy
— Parametric function for y coordinates
function handle
Parametric function for y coordinates, specified as a function handle to a named or anonymous function.
Specify a function of the form y = funy(u,v)
.
The function must accept two matrix input arguments and return a matrix
output argument of the same size. Use array operators instead of matrix
operators for the best performance. For example, use .*
(times
)
instead of * (mtimes
).
Example: funy = @(t) @(u,v) -u.*cos(v);
funz
— Parametric function for z coordinates
function handle
Parametric function for z coordinates, specified as a function handle to a named or anonymous function.
Specify a function of the form z = funz(u,v)
.
The function must accept two matrix input arguments and return a matrix
output argument of the same size. Use array operators instead of matrix
operators for the best performance. For example, use .*
(times
)
instead of * (mtimes
).
Example: funz = @(u,v) v;
uvinterval
— Plotting interval for u
and v
[-5 5 -5 5]
(default) | vector of form [min max]
| vector of form [umin umax vmin vmax]
Plotting interval for u
and v
,
specified in one of these forms:
Vector of form
[min max]
— Use the interval[min max]
for bothu
andv
.Vector of form
[umin umax vmin vmax]
— Use the interval[umin umax]
foru
and[vmin vmax]
forv
.
ax
— Axes object
axes object
Axes object. If you do not specify an axes object, then fmesh
uses
the current axes.
LineSpec
— Line style, marker, and color
string scalar | character vector
Line style, marker, and color, specified as a string scalar or character vector containing symbols. The symbols can appear in any order. You do not need to specify all three characteristics (line style, marker, and color). For example, if you omit the line style and specify the marker, then the plot shows only the marker and no line.
Example: "--or"
is a red dashed line with circle markers.
Line Style | Description | Resulting Line |
---|---|---|
"-" | Solid line |
|
"--" | Dashed line |
|
":" | Dotted line |
|
"-." | Dash-dotted line |
|
Marker | Description | Resulting Marker |
---|---|---|
"o" | Circle |
|
"+" | Plus sign |
|
"*" | Asterisk |
|
"." | Point |
|
"x" | Cross |
|
"_" | Horizontal line |
|
"|" | Vertical line |
|
"square" | Square |
|
"diamond" | Diamond |
|
"^" | Upward-pointing triangle |
|
"v" | Downward-pointing triangle |
|
">" | Right-pointing triangle |
|
"<" | Left-pointing triangle |
|
"pentagram" | Pentagram |
|
"hexagram" | Hexagram |
|
Color Name | Short Name | RGB Triplet | Appearance |
---|---|---|---|
"red" | "r" | [1 0 0] |
|
"green" | "g" | [0 1 0] |
|
"blue" | "b" | [0 0 1] |
|
"cyan"
| "c" | [0 1 1] |
|
"magenta" | "m" | [1 0 1] |
|
"yellow" | "y" | [1 1 0] |
|
"black" | "k" | [0 0 0] |
|
"white" | "w" | [1 1 1] |
|
Name-Value Arguments
Specify optional pairs of arguments as
Name1=Value1,...,NameN=ValueN
, where Name
is
the argument name and Value
is the corresponding value.
Name-value arguments must appear after other arguments, but the order of the
pairs does not matter.
Before R2021a, use commas to separate each name and value, and enclose
Name
in quotes.
Example: 'Marker','o','MarkerFaceColor','red'
The properties listed here are only a subset. For a full list, see FunctionSurface Properties.
MeshDensity
— Number of evaluation points per direction
35 (default) | number
Number of evaluation points per direction, specified as a number.
The default is 35
. Because fmesh
objects
use adaptive evaluation, the actual number of evaluation points is
greater.
Example: 100
ShowContours
— Display contour plot under plot
'off'
(default) | on/off logical value
Display contour plot under plot, specified as 'on'
or
'off'
, or as numeric or logical 1
(true
) or 0
(false
). A
value of 'on'
is equivalent to true, and 'off'
is
equivalent to false
. Thus, you can use the value of this property as
a logical value. The value is stored as an on/off logical value of type matlab.lang.OnOffSwitchState
.
EdgeColor
— Line color
'interp'
(default) | RGB triplet | hexadecimal color code | 'r'
| 'g'
| 'b'
| ...
Line color, specified as 'interp'
, an RGB triplet, a hexadecimal color
code, a color name, or a short name. The default value of 'interp'
colors the edges based on the ZData
property values.
For a custom color, specify an RGB triplet or a hexadecimal color code.
An RGB triplet is a three-element row vector whose elements specify the intensities of the red, green, and blue components of the color. The intensities must be in the range
[0,1]
, for example,[0.4 0.6 0.7]
.A hexadecimal color code is a string scalar or character vector that starts with a hash symbol (
#
) followed by three or six hexadecimal digits, which can range from0
toF
. The values are not case sensitive. Therefore, the color codes"#FF8800"
,"#ff8800"
,"#F80"
, and"#f80"
are equivalent.
Alternatively, you can specify some common colors by name. This table lists the named color options, the equivalent RGB triplets, and hexadecimal color codes.
Color Name | Short Name | RGB Triplet | Hexadecimal Color Code | Appearance |
---|---|---|---|---|
"red" | "r" | [1 0 0] | "#FF0000" | |
"green" | "g" | [0 1 0] | "#00FF00" | |
"blue" | "b" | [0 0 1] | "#0000FF" | |
"cyan"
| "c" | [0 1 1] | "#00FFFF" | |
"magenta" | "m" | [1 0 1] | "#FF00FF" | |
"yellow" | "y" | [1 1 0] | "#FFFF00" | |
"black" | "k" | [0 0 0] | "#000000" | |
"white" | "w" | [1 1 1] | "#FFFFFF" | |
"none" | Not applicable | Not applicable | Not applicable | No color |
Here are the RGB triplets and hexadecimal color codes for the default colors MATLAB® uses in many types of plots.
RGB Triplet | Hexadecimal Color Code | Appearance |
---|---|---|
[0 0.4470 0.7410] | "#0072BD" | |
[0.8500 0.3250 0.0980] | "#D95319" | |
[0.9290 0.6940 0.1250] | "#EDB120" | |
[0.4940 0.1840 0.5560] | "#7E2F8E" | |
[0.4660 0.6740 0.1880] | "#77AC30" | |
[0.3010 0.7450 0.9330] | "#4DBEEE" | |
[0.6350 0.0780 0.1840] | "#A2142F" |
Example: 'blue'
Example: [0
0 1]
Example: '#0000FF'
LineStyle
— Line style
"-"
(default) | "--"
| ":"
| "-."
| "none"
Line style, specified as one of the options listed in this table.
Line Style | Description | Resulting Line |
---|---|---|
"-" | Solid line |
|
"--" | Dashed line |
|
":" | Dotted line |
|
"-." | Dash-dotted line |
|
"none" | No line | No line |
LineWidth
— Line width
0.5
(default) | positive value
Line width, specified as a positive value in points, where 1 point = 1/72 of an inch. If the line has markers, then the line width also affects the marker edges.
The line width cannot be thinner than the width of a pixel. If you set the line width to a value that is less than the width of a pixel on your system, the line displays as one pixel wide.
Marker
— Marker symbol
"none"
(default) | "o"
| "+"
| "*"
| "."
| ...
Marker symbol, specified as one of the values listed in this table. By default, the object does not display markers. Specifying a marker symbol adds markers at each data point or vertex.
Marker | Description | Resulting Marker |
---|---|---|
"o" | Circle |
|
"+" | Plus sign |
|
"*" | Asterisk |
|
"." | Point |
|
"x" | Cross |
|
"_" | Horizontal line |
|
"|" | Vertical line |
|
"square" | Square |
|
"diamond" | Diamond |
|
"^" | Upward-pointing triangle |
|
"v" | Downward-pointing triangle |
|
">" | Right-pointing triangle |
|
"<" | Left-pointing triangle |
|
"pentagram" | Pentagram |
|
"hexagram" | Hexagram |
|
"none" | No markers | Not applicable |
MarkerEdgeColor
— Marker outline color
'auto'
(default) | RGB triplet | hexadecimal color code | 'r'
| 'g'
| 'b'
| ...
Marker outline color, specified as 'auto'
, an RGB triplet, a
hexadecimal color code, a color name, or a short name. The default value of
'auto'
uses the same color as the EdgeColor
property.
For a custom color, specify an RGB triplet or a hexadecimal color code.
An RGB triplet is a three-element row vector whose elements specify the intensities of the red, green, and blue components of the color. The intensities must be in the range
[0,1]
, for example,[0.4 0.6 0.7]
.A hexadecimal color code is a string scalar or character vector that starts with a hash symbol (
#
) followed by three or six hexadecimal digits, which can range from0
toF
. The values are not case sensitive. Therefore, the color codes"#FF8800"
,"#ff8800"
,"#F80"
, and"#f80"
are equivalent.
Alternatively, you can specify some common colors by name. This table lists the named color options, the equivalent RGB triplets, and hexadecimal color codes.
Color Name | Short Name | RGB Triplet | Hexadecimal Color Code | Appearance |
---|---|---|---|---|
"red" | "r" | [1 0 0] | "#FF0000" | |
"green" | "g" | [0 1 0] | "#00FF00" | |
"blue" | "b" | [0 0 1] | "#0000FF" | |
"cyan"
| "c" | [0 1 1] | "#00FFFF" | |
"magenta" | "m" | [1 0 1] | "#FF00FF" | |
"yellow" | "y" | [1 1 0] | "#FFFF00" | |
"black" | "k" | [0 0 0] | "#000000" | |
"white" | "w" | [1 1 1] | "#FFFFFF" | |
"none" | Not applicable | Not applicable | Not applicable | No color |
Here are the RGB triplets and hexadecimal color codes for the default colors MATLAB uses in many types of plots.
RGB Triplet | Hexadecimal Color Code | Appearance |
---|---|---|
[0 0.4470 0.7410] | "#0072BD" | |
[0.8500 0.3250 0.0980] | "#D95319" | |
[0.9290 0.6940 0.1250] | "#EDB120" | |
[0.4940 0.1840 0.5560] | "#7E2F8E" | |
[0.4660 0.6740 0.1880] | "#77AC30" | |
[0.3010 0.7450 0.9330] | "#4DBEEE" | |
[0.6350 0.0780 0.1840] | "#A2142F" |
Example: [0.5 0.5 0.5]
Example: 'blue'
Example: '#D2F9A7'
MarkerFaceColor
— Marker fill color
"none"
(default) | "auto"
| RGB triplet | hexadecimal color code | "r"
| "g"
| "b"
| ...
Marker fill color, specified as "auto"
, an RGB triplet, a hexadecimal color
code, a color name, or a short name. The "auto"
value uses the same
color as the MarkerEdgeColor
property.
For a custom color, specify an RGB triplet or a hexadecimal color code.
An RGB triplet is a three-element row vector whose elements specify the intensities of the red, green, and blue components of the color. The intensities must be in the range
[0,1]
, for example,[0.4 0.6 0.7]
.A hexadecimal color code is a string scalar or character vector that starts with a hash symbol (
#
) followed by three or six hexadecimal digits, which can range from0
toF
. The values are not case sensitive. Therefore, the color codes"#FF8800"
,"#ff8800"
,"#F80"
, and"#f80"
are equivalent.
Alternatively, you can specify some common colors by name. This table lists the named color options, the equivalent RGB triplets, and hexadecimal color codes.
Color Name | Short Name | RGB Triplet | Hexadecimal Color Code | Appearance |
---|---|---|---|---|
"red" | "r" | [1 0 0] | "#FF0000" | |
"green" | "g" | [0 1 0] | "#00FF00" | |
"blue" | "b" | [0 0 1] | "#0000FF" | |
"cyan"
| "c" | [0 1 1] | "#00FFFF" | |
"magenta" | "m" | [1 0 1] | "#FF00FF" | |
"yellow" | "y" | [1 1 0] | "#FFFF00" | |
"black" | "k" | [0 0 0] | "#000000" | |
"white" | "w" | [1 1 1] | "#FFFFFF" | |
"none" | Not applicable | Not applicable | Not applicable | No color |
Here are the RGB triplets and hexadecimal color codes for the default colors MATLAB uses in many types of plots.
RGB Triplet | Hexadecimal Color Code | Appearance |
---|---|---|
[0 0.4470 0.7410] | "#0072BD" | |
[0.8500 0.3250 0.0980] | "#D95319" | |
[0.9290 0.6940 0.1250] | "#EDB120" | |
[0.4940 0.1840 0.5560] | "#7E2F8E" | |
[0.4660 0.6740 0.1880] | "#77AC30" | |
[0.3010 0.7450 0.9330] | "#4DBEEE" | |
[0.6350 0.0780 0.1840] | "#A2142F" |
Example: [0.3 0.2 0.1]
Example: "green"
Example: "#D2F9A7"
MarkerSize
— Marker size
6
(default) | positive value
Marker size, specified as a positive value in points, where 1 point = 1/72 of an inch.
Output Arguments
fs
— One or more FunctionSurface
or ParameterizedFunctionSurface
objects
scalar | vector
One or more FunctionSurface
or ParameterizedFunctionSurface
objects,
returned as a scalar or a vector.
If you use the
fmesh(f)
syntax or a variation of this syntax, thenfmesh
returnsFunctionSurface
objects.If you use the
fmesh(funx,funy,funz)
syntax or a variation of this syntax, thenfmesh
returnsParameterizedFunctionSurface
objects.
You can use these objects to query and modify properties of a specific mesh. For a list of properties, see FunctionSurface Properties and ParameterizedFunctionSurface Properties.
Version History
Introduced in R2016a
See Also
Functions
Properties
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