mrafield.comp: Decomposition of a Field
In SpherWave: Spherical Wavelets and SW-based Spatially Adaptive Methods

Description Usage Arguments Details Value References See Also

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

1	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.

sbf, swd, swthresh, swr

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