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polyCub (version 0.4-2)

Cubature over Polygonal Domains

Description

A package providing methods for cubature (numerical integration) over polygonal domains. Currently, four cubature methods are implemented: the two-dimensional midpoint rule (a simple wrapper around spatstat::as.im.function), the product Gauss cubature proposed by Sommariva and Vianello (2007), an adaptive cubature for isotropic functions via line integrate() along the boundary, and quasi-exact methods specific to the integration of the bivariate Gaussian density over polygonal and circular domains. For cubature over simple hypercubes, the packages cubature and R2Cuba are more appropriate.

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Version

Install

install.packages('polyCub')

Monthly Downloads

992

Version

0.4-2

License

GPL-2

Issues

Pull Requests

Stars

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Maintainer

Sebastian Meyer

Last Published

February 12th, 2014

Functions in polyCub (0.4-2)

dotprod

Dot/Scalar Product of Two Vectors
plot_polyregion

Plots a Polygon (of Various Classes)
gpclibPermit

gpclib Licence Acceptance
isScalar

Checks if Argument is Scalar
owin2gpc

Conversion from and to the "gpc.poly" Class
vecnorm

Euclidean Vector Norm (Length)
isClosed

Check if Polygon is Closed
plotpolyf

Plot Polygonal Domain on Image of Bivariate Function
xylist

Convert Various Polygon Classes to a Simple List of Vertices
polyCub.iso

Cubature of Isotropic Functions over Polygonal Domains
polyCub.SV

Product Gauss Cubature over Polygonal Domains
polyCub.midpoint

Two-Dimensional Midpoint Rule
circleCub.Gauss

Integration of the Isotropic Gaussian Density over Circular Domains
coerce-sp-methods

Coerce "Polygons" to "owin"
polyCub.exact.Gauss

Quasi-Exact Cubature of the Bivariate Normal Density
polygauss

Calculate 2D Nodes and Weights of the Product Gauss Cubature
polyCub

Wrapper Function for the Various Cubature Methods
polyCub-package

Cubature over Polygonal Domains
makegrid

Constructs Equally-Spaced Grid