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>

unnamed list 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=0.4-2&to=statmod" rd-options="statmod" data-mini-rdoc="statmod::gauss.quad">gauss.quad</a></code>): <code>list(s_M, w_M,
  s_N, w_N)</code>.

nw_MN

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, 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.

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

Description

Usage

Arguments

References