mrafield.comp {SpherWave}R Documentation

Decomposition of a Field

Description

This function computes global and local components (fields) on grid from an initial field.

Usage

mrafield.comp(grid, coeff, site, netlab, eta, field, density) 

Arguments

grid grid points of extrapolation sites in radian
coeff coefficients of multi-scale SBF's
site grid points of observation sites in radian
netlab vector of labels representing sub-networks
eta bandwidth parameters for Poisson kernel
field extrapolation on grid
density density of locations induced from an initial field

Details

This function generates decomposition of a field,

T_1(x) = T_l(x) + D_{l-1}(x) + ... + D_1(x), l = 2,..., L

where a global component T_{l+1}(x) in V_{l+1} and a local component D_l(x) in W_l. The corresponding space are nested as V_l supset V_{l+1}, so that V_l = V_{l+1} + W_l.

Value

global matrix of successively smoothed data
local matrix of difference of successively smoothed data
density density of locations in global and local fields
swcoeff spherical wavelet coefficients

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

sbf, swd, swthresh, swr


[Package SpherWave version 1.1.0 Index]