ezsurf

(Not recommended) Easy-to-use 3-D colored surface plotter

ezsurf is not recommended. Use fsurf instead. For more information, see Version History.

Syntax

ezsurf(f)

ezsurf(f,xyinterval)

ezsurf(funx,funy,funz)

ezsurf(funx,funy,funz,uvinterval)

ezsurf(___,n)

ezsurf(___,'circ')

ezsurf(ax,___)

s = ezsurf(___)

Description

ezsurf(f) creates a surface plot of the function f(x,y) using the surf function. The function plots f over the default interval [-2π 2π] for x and y.

ezsurf automatically adds a title and axis labels to the plot.

ezsurf(f,xyinterval) plots over the specified interval.

ezsurf(funx,funy,funz) plots the parametric surface funx(u,v), funy(u,v), and funz(u,v) over the default interval [-2π 2π] for u and v.

ezsurf(funx,funy,funz,uvinterval) plots the parametric surface using the specified interval.

ezsurf(___,n) plots using an n-by-n grid. Use this option after any of the input argument combinations in the previous syntaxes.

ezsurf(___,'circ') plots over a disk centered on the interval.

ezsurf(ax,___) plots into the axes specified by ax instead of the current axes. Specify the axes before any of the input argument combinations in any of the previous syntaxes.

s = ezsurf(___) returns the chart surface object. Use s to modify the surface after it is created. For a list of properties, see Surface Properties.

Examples

Surface Plot of Mathematical Function

Plot the function $\mathit{f}\left(\mathit{x},\mathit{y}\right)=\mathrm{real}\left(\mathrm{atan}\left(\mathit{x}+\mathit{iy}\right)\right)$ over the domain $$-2\pi <x<2\pi$$ and $$-2\pi <y<2\pi$$. The ezsurf function does not plot points where the mathematical function is not defined. These points are set to NaN so that they do not plot.

figure
ezsurf('real(atan(x+i*y))')

Use surf to plot the same data without filtering discontinuities.

figure
[x,y] = meshgrid(linspace(-2*pi,2*pi,60));
z = real(atan(x+1i.*y));
surf(x,y,z)

Input Arguments

f — 3-D function to plot

character vector | string scalar | function handle

3-D function to plot, specified as a character vector, string scalar, or 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.

When specifying the function as a character vector or string scalar, array multiplication, division, and exponentiation are always implied. For example, x^2 is interpreted as x.^2.

Example: 'sqrt(x^2 + y^2)'

When specifying the function as a function handle, use array operators instead of matrix operators for the best performance. For example, use .* (times) instead of * (mtimes).

Example: @(x,y) sin(x).*cos(y)

xyinterval — Plotting interval for x and y

[-2π 2π -2π 2π] (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 both x and y.

• Vector of form [xmin xmax ymin ymax] — Use the interval [xmin xmax] for x and [ymin ymax] for y.

funx — Parametric function for x coordinates

character vector | string scalar | function handle

Parametric function for x coordinates, specified as a character vector, string scalar, or 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.

When specifying the function as a character vector or string scalar, array multiplication, division, and exponentiation are always implied. For example, x^2 is interpreted as x.^2.

Example: 'u*sin(v)'

When specifying the function as a function handle, use array operators instead of matrix operators for the best performance. For example, use .* (times) instead of * (mtimes).

Example: @(u,v) u.*sin(v)

funy — Parametric function for y coordinates

character vector | string scalar | function handle

Parametric function for y coordinates, specified as a character vector, string scalar, or 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.

When specifying the function as a character vector or string scalar, array multiplication, division, and exponentiation are always implied. For example, x^2 is interpreted as x.^2.

Example: '-u*cos(v)'

When specifying the function as a function handle, use array operators instead of matrix operators for the best performance. For example, use .* (times) instead of * (mtimes).

Example: @(u,v) -u.*cos(v)

funz — Parametric function for z coordinates

character vector | string scalar | function handle

Parametric function for z coordinates, specified as a character vector, string scalar, or 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.

When specifying the function as a character vector or string scalar, array multiplication, division, and exponentiation are always implied. For example, x^2 is interpreted as x.^2.

Example: '-u*cos(v)'

When specifying the function as a function handle, use array operators instead of matrix operators for the best performance. For example, use .* (times) instead of * (mtimes).

Example: @(u,v) v

uvinterval — Plotting interval for u and v

[-2π 2π -2π 2π] (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 both u and v.

• Vector of form [umin umax vmin vmax] — Use the interval [umin umax] for u and [vmin vmax] for v.

n — Size of the grid

60 (default) | positive integer

Size of the grid, specified as a positive integer. The grid has dimensions n-by-n.

ax — Axes object

axes object

Axes object. If you do not specify an axes object, then ezsurf uses the current axes.

Extended Capabilities

GPU Arrays

Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.

The ezsurf function supports GPU array input with these usage notes and limitations:

• This function accepts GPU arrays, but does not run on a GPU.

For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).

Distributed Arrays

Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.

Usage notes and limitations:

• This function operates on distributed arrays, but executes in the client MATLAB^®.

For more information, see Run MATLAB Functions with Distributed Arrays (Parallel Computing Toolbox).

Version History

Introduced before R2006a

R2016a: ezsurf is not recommended

ezsurf is not recommended. Use fsurf instead. There are no plans to remove ezsurf.

fsurf requires that the input function to plot is a function handle. ezsurf accepts either a function handle, a character vector, or a string. This table shows some typical usages of ezsurf and how to update your code to use fsurf instead.

Not Recommended	Recommended
ezsurf('real(atan(x+i*y))')	fsurf(@(x,y) real(atan(x+i*y)))
ezsurf('sin(x)+cos(y)')	fsurf(@(x,y) sin(x)+cos(y))
ezsurf(@(x,y) sqrt(x.^2+y.^2))	fsurf(@(x,y) sqrt(x.^2+y.^2))