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# 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])
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: -2π < x < 2π, -2π < y < 2π.

fun can be a function handle or a string (see the Tips 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 funz(s,t) over the square: -2π < s < 2π, -2π < t < 2π.

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.

## 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])```

## More About

expand all

### 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.

### Passing Additional Arguments

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))`

## See Also

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