S2FunHarmonic
S2FunHarmonic is the heart of S2Fun, therefore much effort is put into its functionality. This functionality can be best represented if we split the documentation into parts.
The first part covers the features for univariate functions. In the second part we consider multivariate functions and generalize the functionality of the first part to higher dimensions.
Complete Function list
S2FunHarmonic | a class representing a function on the sphere |
abs | olute value of a function |
acos | cost of a function |
approximation | computes a least square problem to get an approximation |
cat | overloads cat |
conj | ugate S2FunHarmonic |
conv | spherical convolution of sF with a radial function psi |
cos | t of a function |
ctranspose | s S2FunHarmonic |
display | standard output |
dot | inner product |
eig | en value of a spherical function |
end | overloaded end function |
entropy | of a function |
eval | uates the spherical harmonic on a given set of points |
even | or antipodal part of a spherical function |
grad | calculates the gradiet of a spherical harmonic |
horzcat | overloads horzcat |
isempty | overloads isempty |
le | overloads sF1 <= sF2 |
length | overloads length |
log | of a function |
mean | calculates the mean value for an univariate S2Fun or calculates the mean along a specified dimension fo a multimodal S2Fun |
min | calculates the minimum of a spherical harminc or the pointwise minimum of two spherical harmonics |
mtimes | Syntax |
norm | the L2 norm of a spherical function |
plotSpektra | plots Fourier coefficients of a spherical function |
plus | impements sF1 + sF2 |
power | Syntax |
quadrature | Syntax |
rdivide | Syntax |
reshape | overloads reshape |
rotate | a function by a rotation |
simultaniousCG | calculates the minimum of a spherical harminc |
sqrt | square root of a function |
steepestDescent | calculates the minimum of a spherical harminc |
subsasgn | overloads subsasgn |
subsref | overloads subsref |
sum | calculates the integral for an univariate S2Fun or sums up along a specified dimension fo a multimodal S2Fun |
symmetrise | s a function with respect to a symmetry |
times | overloads sF1 .* sF2 |
transpose | overloads transpose |
truncate | neglectable coefficients |
uminus | Syntax |
vertcat | overloads vertcat |
MTEX 5.0.3 |