S2FunHarmonicSym

Defining a S2FunHarmonic

Definition via symmetrisation

The simplest way to define a S2FunHarmonicSym is through the symmetrisation of an ordinary S2FunHarmonic.

sF = S2Fun.smiley
cs = crystalSymmetry('432');

sFs1 = symmetrise(sF, cs);

 
sF = S2FunHarmonic  
 bandwidth: 128

plot(sFs1)

Definition via function handle

If you have a function handle for the function you could create a S2FunHarmonicSym via quadrature. At first lets define a symmetry and a function handle which takes vector3d as an argument and returns double:

f = @(v) 0.1*(v.theta+sin(8*v.x).*sin(8*v.y));
cs = crystalSymmetry('6/m');

Now you can call the quadrature command to get sFs2 of type S2FunHarmonicSym

sFs2 = S2FunHarmonicSym.quadrature(f, cs)

 
sFs2 = S2FunHarmonic  
 symmetry: 6/m, X||a*, Y||b, Z||c*
 bandwidth: 128
 antipodal: true

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Visualization

The plot commands for a S2FunHarmonicSym by default plot the function only on the fundamenta Sector of the symmetry. E.g. the default plot-command look as follows

plot(sFs1);

Another Example is the contour plot

contour(sFs2);

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Complete Function list

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