sbf.comp {SpherWave} | R Documentation |
This function calculates field and density with Multi-sale SBF's.
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) = sum_{l} sum_{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.