ezsurfc (MATLAB Functions)

Easy to use combination surface/contour plotter

Syntax

ezsurfc(f)
ezsurfc(f,domain)
ezsurfc(x,y,z)
ezsurfc(x,y,z,[smin,smax,tmin,tmax]) or ezsurfc(x,y,z,[min,max])
ezsurfc(...,n)
ezsurfc(...,'circ')

Description

ezsurfc(f) creates a graph 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.

ezsurfc(f,domain) plots f 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, ezsurfc('u^2 - v^3',[0,1],[3,6]) plots u² - v³ over 0 < u < 1, 3 < v < 6.

ezsurfc(x,y,z) plots the parametric surface x = x(s,t), y = y(s,t), and z = z(s,t) over the square: -2 < s < 2, -2 < t < 2.

ezsurfc(x,y,z,[smin,smax,tmin,tmax]) or ezsurfc(x,y,z,[min,max]) plots the parametric surface using the specified domain.

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

ezsurfc(...,'circ') plots f over a disk centered on the domain.

Remarks

Array multiplication, division, and exponentiation are always implied in the expression you pass to ezsurfc. For example, the MATLAB syntax for a surface/contour plot of the experssion,

```
sqrt(x.^2 + y.^2);
```

is written as:

```
ezsurfc('sqrt(x^2 + y^2)')
```

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

Examples

Create a surface/contour plot of the expression,

over the domain -5 < x < 5, -2*pi < y < 2*pi, with a computational grid of size 35-by-35:

ezsurfc('y/(1 + x^2 + y^2)',[-5,5,-2*pi,2*pi],35)

Use the mouse to rotate the axes to better observe the contour lines (this picture uses a view of azimuth = -65.5 and elevation = 26)

See Also

ezmesh, ezmeshc, ezsurf, surfc

Function Plots for related functions

ezsurf factor