# Calculation of Field and Density with Multi-sale SBF's

### Description

This function calculates field and density with Multi-sale SBF's.

### Usage

1 |

### Arguments

`point1` |
latitude of extrapolation sites in radian |

`point2` |
longitude of extrapolation sites in radian |

`site1` |
latitude of observation sites in radian |

`site2` |
longitude of observation sites in radian |

`coef` |
coefficients of multi-scale SBF's |

`netlab` |
vector of labels representing sub-networks |

`eta` |
bandwidth parameters for Poisson kernel |

`p0` |
specifies starting level for extrapolation. Among resolution levels |

### Details

For a given field, this function provides a multiscale SBF representation

*
T(x) = ∑_{l} ∑_{j} β_{l,j} G_{l}(<x, x_j>),
*

where *G_{l}()* denotes a SBF with bandwidth *h_l* at multiresolution level *l*.

### Value

`aa` |
a multiscale SBF field on observation's locations |

`bb` |
density on observation's locations |

### References

Oh, H-S. (1999) Spherical wavelets and their statistical analysis with applications to meteorological data. Ph.D. Thesis, Department of Statistics, Texas A\&M University, College Station.

Li, T-H. (1999) Multiscale representation and analysis of spherical data by spherical wavelets.
*SIAM Journal on Scientific Computing*, **21**, 924–953.

Oh, H-S. and Li, T-H. (2004) Estimation of global temperature fields from scattered observations by
a spherical-wavelet-based spatially adaptive method. *Journal of the Royal Statistical Society
Ser.* B, **66**, 221–238.

### See Also

`msbf.comp`

.