TurningBandsSpherical: spherical-covariance Gaussian field by
turning bands with Matheron's dilution line process.
DlaAggregate: diffusion-limited aggregation on the square lattice.
MovingLeastSquares: MLS approximation with Gaussian weights.
DeformationFieldSimulate: Sampson-Guttorp deformation field.
AnnealingSimulation: simulated annealing matching a histogram and a
variogram. Philox draws; identical to the Python arm morie.fn.geosimx.
Usage
TurningBandsSpherical(
coords,
sill = 1,
range_ = 1,
n_bands = 100L,
lam = NULL,
seed = 1
)
DlaAggregate(n_particles, seed = 1)
MovingLeastSquares(points, values, targets, h, degree = 1L)
DeformationFieldSimulate(coords, deformed, model, nsim = 1L, seed = 1)
AnnealingSimulation(
nx,
ny,
values,
model,
lags,
n_iter = 5000L,
t0 = 1,
cooling = 0.001,
seed = 1
)Arguments
- coords
Matrix of coordinates (two or three columns).
- sill, range_
Sill and range.
- n_bands
Number of bands.
- lam
Poisson intensity of the dilution (default 50 / range).
- seed
Philox seed.
- n_particles
Number of walkers.
- points, values, targets
Data points, their values and target points.
- h
Bandwidth.
- degree
Polynomial degree (1 or 2).
- deformed
Matrix of deformed coordinates.
- model
Covariance model (
KrigingCovariance).- nsim
Number of realisations.
- nx, ny
Grid size.
- lags
Matrix of lag vectors (dx, dy).
- n_iter, t0, cooling
Annealing iterations, initial temperature and cooling rate.
References
Lantuejoul, C. (2002). Geostatistical Simulation: Models and Algorithms. Springer.
Witten, T. A. and Sander, L. M. (1981). Diffusion-limited aggregation, a kinetic critical phenomenon. Physical Review Letters 47, 1400-1403.
Lancaster, P. and Salkauskas, K. (1981). Surfaces generated by moving least squares methods. Mathematics of Computation 37, 141-158.
Sampson, P. D. and Guttorp, P. (1992). Nonparametric estimation of nonstationary spatial covariance structure. JASA 87, 108-119.
Deutsch, C. V. and Journel, A. G. (1998). GSLIB, 2nd edn. Oxford University Press.