mrafield.comp {SpherWave} | R Documentation |
This function computes global and local components (fields) on grid from an initial field.
mrafield.comp(grid, coeff, site, netlab, eta, field, density)
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 |
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.
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 |
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.