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polyCub (version 0.3-1)

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

0.3-1

License

GPL-2

Issues

Pull Requests

Stars

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Maintainer

Sebastian Meyer

Last Published

August 22nd, 2013

Functions in polyCub (0.3-1)

polyCub.iso

Cubature of Isotropic Functions over Polygonal Domains
discpoly

Polygonal Approximation of a Disc/Circle
makegrid

Constructs Equally-Spaced Grid
circleCub.Gauss

Integration of the Isotropic Gaussian Density over Circular Domains
polyCub.exact.Gauss

Quasi-Exact Cubature of the Bivariate Normal Density
isScalar

Checks if Argument is Scalar
polygauss

Calculate 2D Nodes and Weights of the Product Gauss Cubature
coerce-methods

Polygon Coercion Between Different Spatial Classes
polyCub.SV

Product Gauss Cubature over Polygonal Domains
plot_polyregion

Plots a Polygon (of Various Classes)
gpclibPermit

gpclib Licence Acceptance
polyCub.midpoint

Two-Dimensional Midpoint Rule
isClosed

Check if Polygon is Closed
polyCub

Wrapper Function for the Various Cubature Methods
dotprod

Dot/Scalar Product of Two Vectors
polyCub-package

Cubature over Polygonal Domains
vecnorm

Euclidean Vector Norm (Length)
plotpolyf

Plot Polygonal Domain on an Image of a Bivariate Function