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polyCub (version 0.4-0)

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

0.4-0

License

GPL-2

Issues

Pull Requests

Stars

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Maintainer

Sebastian Meyer

Last Published

November 19th, 2013

Functions in polyCub (0.4-0)

plotpolyf

Plot Polygonal Domain on Image of Bivariate Function
polyCub.exact.Gauss

Quasi-Exact Cubature of the Bivariate Normal Density
polyCub

Wrapper Function for the Various Cubature Methods
isScalar

Checks if Argument is Scalar
dotprod

Dot/Scalar Product of Two Vectors
polyCub-package

Cubature over Polygonal Domains
polygauss

Calculate 2D Nodes and Weights of the Product Gauss Cubature
owin2gpc

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

Plots a Polygon (of Various Classes)
isClosed

Check if Polygon is Closed
vecnorm

Euclidean Vector Norm (Length)
polyCub.iso

Cubature of Isotropic Functions over Polygonal Domains
gpclibPermit

gpclib Licence Acceptance
polyCub.midpoint

Two-Dimensional Midpoint Rule
makegrid

Constructs Equally-Spaced Grid
polyCub.SV

Product Gauss Cubature over Polygonal Domains
circleCub.Gauss

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

Coerce "Polygons" to "owin"
xylist

Convert Various Polygon Classes to a Simple List of Vertices