title | keywords | sidebar | permalink | summary | toc | folder |
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pysh.expand |
spherical harmonics, spherical harmonic transforms, spherical harmonic expansions, python, pyshtools |
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python-spherical-harmonic-transforms.html |
This module provides routines for performing spherical harmonic expansions and the construction of grids from spherical harmonic coefficients. |
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Function name | Description |
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SHExpandDH | Expand an equally sampled or equally spaced map into spherical harmonics using Driscoll and Healy's (1994) sampling theorem. |
MakeGridDH | Create a 2D map from a set of spherical harmonic coefficients that conforms with Driscoll and Healy's (1994) sampling theorem. |
SHExpandDHC | Expand an equally sampled or equally spaced complex map into complex spherical harmonics using Driscoll and Healy's (1994) sampling theorem. |
MakeGridDHC | Create a 2D complex map from a set of complex spherical harmonic coefficients that conforms with Driscoll and Healy's (1994) sampling theorem. |
MakeGradientDH | Compute the gradient of a scalar function and return grids of the two horizontal components that conform with Driscoll and Healy's (1994) sampling theorem. |
Function name | Description |
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SHGLQ | Precompute the weights and nodes used in the GLQ-based spherical harmonics routines. |
SHExpandGLQ | Expand a 2D map sampled on the Gauss-Legendre quadrature nodes into spherical harmonics. |
MakeGridGLQ | Create a 2D map from a set of spherical harmonic coefficients sampled on a the Gauss-Legendre quadrature nodes. |
SHExpandGLQC | Expand a 2D complex map sampled on the Gauss-Legendre quadrature nodes into complex spherical harmonics. |
MakeGridGLQC | Create a 2D complex map from a set of complex spherical harmonic coefficients sampled on a the Gauss-Legendre quadrature nodes. |
GLQGridCoord | Compute the latitude and longitude coordinates used in Gauss-Legendre quadrature grids. |
Function name | Description |
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SHExpandLSQ | Expand a set of irregularly sampled data points into spherical harmonics using a least squares inversion. |
SHExpandWLSQ | Expand a set of irregularly sampled data points into spherical harmonics using a weighted least squares inversion. |
MakeGrid2D | Create a 2D cylindrical map with arbitrary grid spacing from a set of spherical harmonic coefficients. |
MakeGridPoint | Evaluate a real function expressed in real spherical harmonics at a set of points. |
MakeGridPointC | Evaluate a complex function expressed in complex spherical harmonics at a set of points. |
SHMultiply | Multiply two functions and determine the spherical harmonic coefficients of the resulting function. |
spharm | Compute all the spherical harmonic functions up to a maximum degree and order. |
spharm_lm | Compute the spherical harmonic function for specific degrees l and orders m. |