Package: SpatialfdaR 1.0.0

SpatialfdaR: Spatial Functional Data Analysis

Finite element modeling (FEM) uses meshes of triangles to define surfaces. A surface within a triangle may be either linear or quadratic. In the order one case each node in the mesh is associated with a basis function and the basis is called the order one finite element basis. In the order two case each edge mid-point is also associated with a basis function. Functions are provided for smoothing, density function estimation point evaluation and plotting results. Two papers illustrating the finite element data analysis are Sangalli, L.M., Ramsay, J.O., Ramsay, T.O. (2013)<http://www.mox.polimi.it/~sangalli> and Bernardi, M.S, Carey, M., Ramsay, J. O., Sangalli, L. (2018)<http://www.mox.polimi.it/~sangalli>. Modelling spatial anisotropy via regression with partial differential regularization Journal of Multivariate Analysis, 167, 15-30.

Authors:James Ramsay [aut, cre], Spencer Graves [ctb]

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# Install 'SpatialfdaR' in R:

install.packages('SpatialfdaR', repos = c('https://jamesramsay5.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/jamesramsay5/spatialfdar/issues

Datasets:

MeuseData - Objects Defining Meuse River Mesh

On CRAN:

18 exports 0.63 score 77 dependencies 2 scripts 205 downloads

Last updated 2 years agofrom:fa63905bac. Checks:OK: 3 NOTE: 4. Indexed: yes.

Target	Result	Date
Doc / Vignettes	OK	Sep 06 2024
R-4.5-win	NOTE	Sep 06 2024
R-4.5-linux	NOTE	Sep 06 2024
R-4.4-win	NOTE	Sep 06 2024
R-4.4-mac	NOTE	Sep 06 2024
R-4.3-win	OK	Sep 06 2024
R-4.3-mac	OK	Sep 06 2024

Exports:create.FEM.basis eval.FEM.basis eval.FEM.fd FEMdensity insideIndex makenodes mass.FEM plotFEM.fd plotFEM.mesh randomFEMpts smooth.FEM.basis smooth.FEM.density squareMesh squareMesh_RL stiff.FEM tricoefCal triDensity triquad

Dependencies:abind ash base64enc bitops bslib cachem cli cluster colorspace deSolve digest evaluate fansi farver fastmap fda fds FNN fontawesome fs geometry ggplot2 glue gtable hdrcde highr htmltools htmlwidgets isoband jquerylib jsonlite kernlab KernSmooth knitr ks labeling lattice lifecycle linprog locfit lpSolve magic magrittr MASS Matrix mclust memoise mgcv mime multicool munsell mvtnorm nlme pcaPP pillar pkgconfig pracma R6 rainbow rappdirs RColorBrewer Rcpp RcppProgress RCurl rgl rlang rmarkdown sass scales tibble tinytex utf8 vctrs viridisLite withr xfun yaml

Meuse

Rendered fromMeuse.Rmdusingknitr::rmarkdownon Sep 06 2024.

Last update: 2022-10-08
Started: 2021-12-30

Help page	Topics
Create a FEM Basis with Triangular Finite Element Basis Functions	create.FEM.basis
Values of a Finite Element Functional Data Object	eval.FEM.basis
Evaluate a functional data object with an FEM basis.	eval.FEM.fd
Evaluate the function value and gradient for a penalized likelihood estimate of spatial density.	FEMdensity
Index of the triangle containing a point.	insideIndex
Compute the matrix 'nodes' containing all the nodes in the mesh.	makenodes
Compute the mass matrix for a finite element basis.	mass.FEM
Objects Defining Meuse River Mesh	MeuseData
Plots an FEM functional data object.	plotFEM.fd
Plot a finite element mesh.	plotFEM.mesh
Generate Random Locations in a Mesh with a Specified Density	randomFEMpts
Construct a functional data object by smoothing spatial data distributed over a region with a complicated boundary using a roughness penalty.	smooth.FEM.basis
Compute a smooth FEM density surface of a triangulated region.	smooth.FEM.density
Generate a Triangulation of a Square.	squareMesh
Generate a Triangulation of a Square.	squareMesh_RL
Compute the stiffness matrix for a finite element basis.	stiff.FEM
Compute the coefficient matrix required to test of a point is inside a triangle.	tricoefCal
Compute the probabilities that a random location will be within one of the triangles of an FEM mesh.	triDensity
Set up Gaussian quadrature points and weights for a triangular domain.	triquad

Package: SpatialfdaR 1.0.0

SpatialfdaR: Spatial Functional Data Analysis

Meuse

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