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Spherical Harmonic Transformations
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Equally sampled (N×N) and equally spaced (N×2N) Grids |
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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. |
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Gauss-Legendre quadrature grids |
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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. |
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Other |
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| SHExpandLSQ | Expand a set of irregularly sampled data points into spherical harmonics using a 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 single point. |
| MakeGridPointC | Evaluate a complex function expressed in complex spherical harmonics at a single point. |
| SHMultiply | Multiply two functions and determine the spherical harmonic coefficients of the resulting function. |
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