ezsurfc

(Not recommended) Easy-to-use combination surface/contour plotter

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

Syntax

ezsurfc(f)

ezsurfc(f,xyinterval)

ezsurfc(funx,funy,funz)

ezsurfc(funx,funy,funz,uvinterval)

ezsurfc(___,n)

ezsurfc(___,'circ')

ezsurfc(ax,___)

sc = ezsurfc(___)

Description

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

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

ezsurfc(f,xyinterval) plots over the specified interval. To use the same interval for both x and y, specify xyinterval as a two-element vector of the form [min max]. To use different intervals, specify a four-element vector of the form [xmin xmax ymin ymax].

ezsurfc(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.

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

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

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

ezsurfc(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.

sc = ezsurfc(___) returns a graphics array that includes the chart surface object and the contour object. Use sc to modify the surface and contour plots after they are created. For a list of properties, see Surface Properties and Contour Properties.

Examples

Surface and Contour Plot of Mathematical Function

Create a surface/contour plot of the expression $f(x,y)=\sqrt{x^2+y^2}$ over the domain $$-5<x<5$$ and $$-2\pi <y<2\pi$$ with a computational grid size of 35-by-35.

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

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 ezsurfc uses the current axes.

Extended Capabilities

GPU Arrays

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

The ezsurfc 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: ezsurfc is not recommended

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

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

Not Recommended	Recommended
ezsurfc('sin(x)+cos(y)')	fsurf(@(x,y) sin(x)+cos(y),'ShowContours','on')
ezsurfc(@(x,y) sqrt(x.^2+y.^2))	fsurf(@(x,y) sqrt(x.^2+y.^2),'ShowContours','on')