# linequad

##### Quadrature Scheme on a Linear Network

Generates a quadrature scheme (an object of class `"quad"`

)
on a linear network.

##### Usage

`linequad(X, Y, …, eps = NULL, nd = 1000, random = FALSE)`

##### Arguments

- X
Data points. An object of class

`"lpp"`

or`"ppp"`

.- Y
Line segments on which the points of

`X`

lie. An object of class`"psp"`

. Required only when`X`

is a`"ppp"`

object.- …
Ignored.

- eps
Optional. Spacing between successive dummy points along each segment.

- nd
Optional. Total number of dummy points to be generated.

- random
Logical value indicating whether the sequence of dummy points should start at a randomly-chosen position along each segment.

##### Details

This command generates a quadrature scheme (object of class
`"quad"`

) from a pattern of points on a linear network.

Normally the user does not need to call `linequad`

explicitly.
It is invoked by spatstat functions when needed.
A quadrature scheme is required by `lppm`

in order to fit point process models to point pattern data on a linear
network. A quadrature scheme is also used by `rhohat.lpp`

and other functions.

In order to create the quadrature scheme, dummy points are placed
along each line segment of the network. The dummy points are
evenly-spaced with spacing `eps`

. The default is
`eps = totlen/nd`

where `totlen`

is the total length of
all line segments in the network.

##### Value

A quadrature scheme (object of class `"quad"`

).

##### See Also

*Documentation reproduced from package spatstat, version 1.57-1, License: GPL (>= 2)*