polygauss

list with elements <code>"x"</code> and <code>"y"</code>
  containing the polygon vertices in <em>anticlockwise</em>
  order (otherwise the result of the cubature will have a
  negative sign) with first vertex not repeated at the end
  (like <code>owin.ob</code>

lists of nodes and weights of
  one-dimensional Gauss quadrature rules of degrees $N$
  and $M=N+1$ (as returned by
  <code><a href="/link/gauss.quad?package=polyCub&version=0.2-0&to=statmod" rd-options="statmod" data-mini-rdoc="statmod::gauss.quad">gauss.quad</a></code>)

nw_N,nw_M

base-line of the (rotated) polygon at $x
  = \alpha$ (see Sommariva and Vianello (2007) for an
  explication). If <code>NULL</code> (default), the midpoint of
  the x-range of the polygon is chosen if no
  <code>rotation</code> is performed, and otherwise

alpha

logical (default: <code>FALSE</code>) or a list
  of points <code>"P"</code> and <code>"Q"</code> describing the
  preferred direction. If <code>TRUE</code>, the polygon is
  rotated according to the vertices <code>"P"</code> and
  <code>"Q"</code>, which

rotation

Calculate 2D Nodes and Weights of the Product Gauss
  Cubature

internal

A package providing methods for cubature (numerical
        integration) over polygonal domains.  Currently, three
        (non-adaptive) 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), and a quasi-exact method
        specific to the integration of the bivariate Gaussian density
        over polygonal domains.  For cubature over simple hypercubes,
        the packages "cubature" and "R2cuba" are more appropriate.

polygauss: Calculate 2D Nodes and Weights of the Product Gauss Cubature

Description

Usage

Arguments

References