The documentation is still in infancy, however we provide a few documents in pdf for quick description. All the provided examples in Radial++ contain lots of explanations in each function, please see the examples.

#### Quick References

#### RBFs Evaluations

We are working more in C style, but using templates. In the forthcoming release we are going to incorporate the template functions which can be used in any external C++ program or others librarys to perform the evaluaions of radial basis functions with global support.

#### Thin-Plate Splines

tps_1d | evalution for 1d |

tps_2d | evaluation for 2d |

tps_3d | evaluation for 3d |

tps_nd | evaluation for nd |

#### Power Splines

pot_1d | evaluation for 1d |

pot_2d | evaluation for 2d |

pot_3d | evaluation for 3d |

pot_nd | evaluation for nd |

#### Gaussian

gau_1d | evaluation for 1d |

gau_2d | evaluation for 2d |

gau_3d | evaluation for 3d |

gau_nd | evaluation for nd |

#### Multiquadric

mq_1d | evaluation for 1d |

mq_2d | evaluation for 2d |

mq_2d | evaluation for 2d |

mq_nd | evaluation for nd |

#### Inverse Multiquadric

imq_1d | evaluation for 1d |

imq_2d | evaluation for 2d |

imq_3d | evaluation for 3d |

imq_nd | evaluation for nd |

#### RBFs Derivatives

We are working more in C style, but using templates. In the forthcoming release we are going to incorporate the template functions which can be used in any external C++ program or others librarys to perform the derivatives of radial basis functions with global support.

#### Thin-Plate Splines

tps_1d_x | 1st derivative with respect to x for 1D |

tps_1d_xx | 2nd derivative with respect to x for 1D |

tps_2d_x | 1st derivative with respect to x for 2D |

tps_2d_y | 1st derivative with respect to y for 2D |

tps_2d_xx | 2nd derivative with respect to x for 2D |

tps_2d_yy | 2nd derivative with respect to y for 2D |

tps_2d_xy | 2nd derivative with respect to xy for 2D |

tps_2d_yx | 2nd derivative with respect to yx for 2D |

tps_3d_x | 1st derivative with respect to x for 3D |

tps_3d_y | 1st derivative with respect to y for 3D |

tps_3d_z | 1st derivative with respect to z for 3D |

tps_3d_xx | 2nd derivative with respect to x for 3D |

tps_3d_yy | 2nd derivative with respect to y for 3D |

tps_3d_zz | 2nd derivative with respect to z for 3D |

#### Power Splines

pot_1d_x | 1st derivative with respect to x for 1D |

pot_1d_xx | 2nd derivative with respect to x for 1D |

pot_2d_x | 1st derivative with respect to x for 2D |

pot_2d_y | 1st derivative with respect to y for 2D |

pot_2d_xx | 2nd derivative with respect to x for 2D |

pot_2d_yy | 2nd derivative with respect to y for 2D |

pot_2d_xy | 2nd derivative with respect to xy for 2D |

pot_2d_yx | 2nd derivative with respect to yx for 2D |

pot_3d_x | 1st derivative with respect to x for 3D |

pot_3d_y | 1st derivative with respect to y for 3D |

pot_3d_z | 1st derivative with respect to z for 3D |

pot_3d_xx | 2nd derivative with respect to x for 3D |

pot_3d_yy | 2nd derivative with respect to y for 3D |

pot_3d_zz | 2nd derivative with respect to z for 3D |

#### Gaussian

gau_1d_x | 1st derivative with respect to x for 1D |

gau_1d_xx | 2nd derivative with respect to x for 1D |

gau_2d_x | 1st derivative with respect to x for 2D |

gau_2d_y | 1st derivative with respect to y for 2D |

gau_2d_xx | 2nd derivative with respect to x for 2D |

gau_2d_yy | 2nd derivative with respect to y for 2D |

gau_2d_xy | 2nd derivative with respect to xy for 2D |

gau_2d_yx | 2nd derivative with respect to yx for 2D |

gau_3d_x | 1st derivative with respect to x for 3D |

gau_3d_y | 1st derivative with respect to y for 3D |

gau_3d_z | 1st derivative with respect to z for 3D |

gau_3d_xx | 2nd derivative with respect to x for 3D |

gau_3d_yy | 2nd derivative with respect to y for 3D |

gau_3d_zz | 2nd derivative with respect to z for 3D |

#### Multiquadric

mq_1d_x | 1st derivative with respect to x for 1D |

mq_1d_xx | 2nd derivative with respect to x for 1D |

mq_2d_x | 1st derivative with respect to x for 2D |

mq_2d_y | 1st derivative with respect to y for 2D |

mq_2d_xx | 2nd derivative with respect to x for 2D |

mq_2d_yy | 2nd derivative with respect to y for 2D |

mq_2d_xy | 2nd derivative with respect to xy for 2D |

mq_2d_yx | 2nd derivative with respect to yx for 2D |

mq_3d_x | 1st derivative with respect to x for 3D |

mq_3d_y | 1st derivative with respect to y for 3D |

mq_3d_z | 1st derivative with respect to z for 3D |

mq_3d_xx | 2nd derivative with respect to x for 3D |

mq_3d_yy | 2nd derivative with respect to y for 3D |

mq_3d_zz | 2nd derivative with respect to z for 3D |

#### Inverse Multiquadric

imq_1d_x | 1st derivative with respect to x for 1D |

imq_1d_xx | 2nd derivative with respect to x for 1D |

imq_2d_x | 1st derivative with respect to x for 2D |

imq_2d_y | 1st derivative with respect to y for 2D |

imq_2d_xx | 2nd derivative with respect to x for 2D |

imq_2d_yy | 2nd derivative with respect to y for 2D |

imq_2d_xy | 2nd derivative with respect to xy for 2D |

imq_2d_yx | 2nd derivative with respect to yx for 2D |

imq_3d_x | 1st derivative with respect to x for 3D |

imq_3d_y | 1st derivative with respect to y for 3D |

imq_3d_z | 1st derivative with respect to z for 3D |

imq_3d_xx | 2nd derivative with respect to x for 3D |

imq_3d_yy | 2nd derivative with respect to y for 3D |

imq_3d_zz | 2nd derivative with respect to z for 3D |

The name descriptions of the derivatives was taken from TUNA:RBF, not the implementations.