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ezmesh

(Not recommended) Easy-to-use 3-D mesh plotter

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    ezmesh is not recommended. Use fmesh instead. For more information, see Version History.

    Syntax

    ezmesh(f)
    ezmesh(f,xyinterval)
    ezmesh(funx,funy,funz)
    ezmesh(funx,funy,funz,uvinterval)
    ezmesh(___,n)
    ezmesh(___,'circ')
    ezmesh(ax,___)
    s = ezmesh(___)

    Description

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

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

    example

    ezmesh(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].

    ezmesh(funx,funy,funz) plots the parametric mesh defined by x = funx(u,v), y = funy(u,v), z = funz(u,v) over the default interval [-2π 2π] for u and v.

    ezmesh(funx,funy,funz,uvinterval) plots the parametric mesh over the specified interval. To use the same interval for both u and v, specify uvinterval as a two-element vector of the form [min max]. To use different intervals, specify a four-element vector of the form [umin umax vmin vmax].

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

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

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

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

    Examples

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    Open Live Script

    Create a mesh plot of the function f(x,y)=xe-x2-y2 over a 40-by-40 grid. 

    fh = @(x,y) x.*exp(-x.^2-y.^2);
ezmesh(fh,40)

    Figure contains an axes object. The axes object with title x blank exp (- x Squared baseline - y Squared baseline ), xlabel x, ylabel y contains an object of type surface.

    Set the mesh lines to a uniform blue color by setting the colormap to a single color. 

    colormap([0 0 1])

    Figure contains an axes object. The axes object with title x blank exp (- x Squared baseline - y Squared baseline ), xlabel x, ylabel y contains an object of type surface.

    Input Arguments

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    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)

    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.

    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)

    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)

    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

    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.

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

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

    Extended Capabilities

    Version History

    Introduced before R2006a

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    R2016a: ezmesh is not recommended

    ezmesh is not recommended. Use fmesh instead. There are no plans to remove ezmesh.

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

    Not RecommendedRecommended
    ezmesh(@(x,y)x.*exp(-x.^2-y.^2),42)fmesh(@(x,y) x.*exp(-x.^2-y.^2),'MeshDensity',42)
    ezmesh('real(atan(x+i*y))')fmesh(@(x,y) real(atan(x+i*y)))
    ezmesh(@(x,y) sqrt(x.^2+y.^2))fmesh(@(x,y) sqrt(x.^2+y.^2))

    See Also

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    Topics