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Azimuthal average a vector/scalar field.

[R, P] = **azaverf**(S, X0, Y0), where S is a scalar field, returns the
azimuthally-averaged profile P(R) of S with respect to the center
X0, Y0 (given in physical units). The output vector R is the radius
(in physical units), and the vector P is the profile. If S is an array
of N scalar fields, R and P are MxN matrix. Use PLOT(R, P) to plot the
resulting profiles.
[R, UR, UT] = **azaverf**(V, X0, Y0), where V is a 2-component vector field,
returns the radial UR and azimuthal UT components of the azimuthally-
averaged profiles of V.
[R, UR, UT, UZ] = **azaverf**(V, X0, Y0), where V is a 3-component vector
field, returns the radial UR, azimuthal UT, and out-of-plane UZ,
components of the azimuthally- averaged profiles of V.
The center (X0, Y0) does not need to be inside the field. If X0 and Y0
are not specified, the point (0,0) is taken (in physical units).
AF = **azaverf**(F, X0, Y0), where F is a scalar or a vector field, returns
the azimuthally averaged field AF. If F is an array of fields, AF is
also an array of fields of same dimension. If no output argument
specified, the result is displayed with showf.
... = **azaverf**(..,I0, J0, 'mesh') specifies the center (I0, J0) in mesh
units instead of physical units (I0 and J0 do not need to be integer,
and do not need to be inside the field).
... = **azaverf**(.., 'rmax', RMAX) computes the profile for R<=RMAX only.
RMAX is given in physical units, unless the argument 'mesh' is
specified. This option saves computation time if large R are not
needed.
By default, zero elements are considered as erroneous, and are not used
for the computation of the azimuthal average. If however you want to
keep them in the computation, specify **azaverf**(...,'keepzero').

**Examples**
v=loadvec('*.vc7');
showf(**azaverf**(v,10,10));
k=vec2scal(v,'ken');
[r,e] = **azaverf**(k,40,32,'mesh');
plot(r,e,'o-');
xlabel('r (mm)'); ylabel('energy');
v=addnoisef(vortex,0.2);
showf(v);
showf(**azaverf**(v,64,64));

**See Also**
showf, averf, spaverf, subaverf, filterf,
vec2scal, rotatef, subsbr, azprofile
Published output in the Help browser
showdemo **azaverf**

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