sbf.comp: Calculation of Field and Density with Multi-sale SBF's
In SpherWave: Spherical Wavelets and SW-based Spatially Adaptive Methods

Description Usage Arguments Details Value References See Also

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

1	sbf.comp(point1, point2, site1, site2, coef, netlab, eta, p0)

`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 1, …, L, resolution levels p0+1, …, L will be included for extrapolation.

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.

`aa`	a multiscale SBF field on observation's locations
`bb`	density on observation's locations

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.

msbf.comp.

SpherWave documentation built on April 14, 2017, 1:28 p.m.