MATLAB Function Reference |

Easy to use filled contour plotter

**Syntax**

**Description**

`ezcontourf(f)`

plots the contour lines of *f(x,y)*, where `f`

is a string that represents a mathematical function of two variables, such as *x* and *y*.

The function *f* is plotted over the default* *domain: -2 < *x* < 2, -2 < *y* < 2. MATLAB chooses the computational grid according to the amount of variation that occurs; if the function *f* is not defined (singular) for points on the grid, then these points are not plotted.

e`zcontourf(f,domain)`

plots *f(x,y)* 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).

If *f* 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, `ezcontourf('u^2 - v^3',[0,1],[3,6])`

plots the contour lines for *u*^{2} - *v*^{3} over 0 < *u* < 1, 3 < *v* < 6.

`ezcontourf(...,n)`

plots *f* over the default domain using an `n`

-by-`n`

grid. The default value for `n`

is 60.

`ezcontourf`

automatically adds a title and axis labels.

**Remarks**

Array multiplication, division, and exponentiation are always implied in the expression you pass to `ezcontourf`

. For example, the MATLAB syntax for a filled contour plot of the expression,

That is, `x^2`

is interpreted as `x.^2`

in the string you pass to `ezcontourf`

.

**Examples**

The following mathematical expression defines a function of two variables, *x* and *y*.

`ezcontourf`

requires a string argument that expresses this function using MATLAB syntax to represent exponents, natural logs, etc. This function is represented by the string:

f = ['3*(1-x)^2*exp(-(x^2)-(y+1)^2)',... '- 10*(x/5 - x^3 - y^5)*exp(-x^2-y^2)',... '- 1/3*exp(-(x+1)^2 - y^2)'];

For convenience, this string is written on three lines and concatenated into one string using square brackets.

Pass the string variable `f`

to `ezcontourf`

along with a domain ranging from -3 to 3 and specify a grid of 49-by-49:

In this particular case, the title is too long to fit at the top of the graph so MATLAB abbreviates the string.

**See Also**

`contourf`

, `ezcontour`

, `ezmesh`

, `ezmeshc`

, `ezplot`

, `ezplot3`

, `ezpolar`

, `ezsurf`

, `ezsurfc`

Contour Plots for related functions

ezcontour | ezmesh |