MATLAB Function Reference
ezmesh

Easy to use 3-D mesh plotter

Syntax

• ```ezmesh(fun)
ezmesh(fun,domain)
ezmesh(funx,funy,funz)
ezmesh(funx,funy,funz,[smin,smax,tmin,tmax]) or
ezmesh(funx,funy,funz,[min,max])
ezmesh(...,n)
ezmesh(...,'circ')
ezmesh(axes_handle,...)
h = ezmesh(...)
```

Description

`ezmesh(fun)` creates a graph of `fun(x,y)` using the `mesh` function. `fun` is plotted over the default domain: -2 < x < 2, -2 < y < 2.

`fun` can be a function handle for an M-file function or an anonymous function (see Function Handles and Anonymous Functions) or a string (see the Remarks section).

```ezmesh(fun,domain) ``` plots `fun` over the specified `domain`. `domain` can be either a 4-by-1 vector [`xmin`, `xmax`, `ymin`, `ymax`] or a 2-by-1 vector [`min`, `max`] (where `min` < `x` < `max`, `min` < `y` < `max`).

```ezmesh(funx,funy,funz) ``` plots the parametric surface `funx(s,t)`, `funy(s,t)`, and f`unz(s,t)` over the square: -2 < `s` < 2, -2 < `t` < 2.

```ezmesh(funx,funy,funz,[smin,smax,tmin,tmax]) or ezmesh(funx,funy,funz,[min,max]) ``` plots the parametric surface using the specified domain.

```ezmesh(...,n) ``` plots `fun` over the default domain using an `n`-by-`n` grid. The default value for `n` is 60.

```ezmesh(...,'circ') ``` plots `fun` over a disk centered on the domain.

```ezmesh(axes_handle,...) ``` plots into the axes with handle `axes_handle` instead of the current axes (`gca`).

```h = ezmesh(...) ``` returns the handle to a surface object in `h`.

Remarks

Passing the Function as a String

Array multiplication, division, and exponentiation are always implied in the string expression you pass to `ezmesh`. For example, the MATLAB syntax for a mesh plot of the expression

• ```sqrt(x.^2 + y.^2);
```

is written as

• ```ezmesh('sqrt(x^2 + y^2)')
```

That is, `x^2` is interpreted as `x.^2` in the string you pass to `ezmesh`.

If the function to be plotted is a function of the variables u and v (rather than x and y), then the domain endpoints `umin`, `umax`, `vmin`, and `vmax` are sorted alphabetically. Thus, `ezmesh('u^2 - v^3',[0,1],[3,6])` plots u2 - v3 over 0 < u < 1, 3 < v < 6.

Passing a Function Handle

Function handle arguments must point to functions that use MATLAB syntax. For example, the following statements define an anonymous function and pass the function handle `fh` to `ezmesh`.

• ```fh = @(x,y) sqrt(x.^2 + y.^2);
ezmesh(fh)
```

Note that when using function handles, you must use the array power, array multiplication, and array division operators (`.^, .*, ./`) since `ezmesh` does not alter the syntax, as in the case with string inputs.

If your function has additional parameters, for example `k` in `myfun`:

• ```function z = myfun(x,y,k)
z = x.^k - y.^k - 1;
```

then you can use an anonymous function to specify that parameter:

• ```ezmesh(@(x,y)myfun(x,y,2))
```

Examples

This example visualizes the function

with a mesh plot drawn on a 40-by-40 grid. The mesh lines are set to a uniform blue color by setting the colormap to a single color:

• ```fh = @(x,y) x.*exp(-x.^2-y.^2);
ezmesh(fh,40)
colormap([0 0 1])

```

`ezmeshc`, `function_handle`, `mesh`