# linim

0th

Percentile

##### Create Pixel Image on Linear Network

Creates an object of class "linim" that represents a pixel image on a linear network.

Keywords
spatial
##### Usage
linim(L, Z, ..., df=NULL)
##### Arguments
L
Linear network (object of class "linnet").
Z
Pixel image (object of class "im").
...
Ignored.
df
Advanced use only. Data frame giving full details of the mapping between the pixels of Z and the lines of L. See Details.
##### Details

This command creates an object of class "linim" that represents a pixel image defined on a linear network. Typically such objects are used to represent the result of smoothing or model-fitting on the network. Most users will not need to call linim directly.

The argument L is a linear network (object of class "linnet"). It gives the exact spatial locations of the line segments of the network, and their connectivity.

The argument Z is a pixel image object of class "im" that gives a pixellated approximation of the function values. For increased efficiency, advanced users may specify the optional argument df. This is a data frame giving the precomputed mapping between the pixels of Z and the line segments of L. It should have columns named xc, yc containing the coordinates of the pixel centres, x,y containing the projections of these pixel centres onto the linear network, mapXY identifying the line segment on which each projected point lies, and tp giving the parametric position of (x,y) along the segment.

##### Value

• Object of class "linim" that also inherits the class "im". There is a special method for plotting this class.

##### References

Ang, Q.W. (2010) Statistical methodology for events on a network. Master's thesis, School of Mathematics and Statistics, University of Western Australia. Ang, Q.W., Baddeley, A. and Nair, G. (2012) Geometrically corrected second-order analysis of events on a linear network, with applications to ecology and criminology. To appear in Scandinavian Journal of Statistics.

McSwiggan, G., Nair, M.G. and Baddeley, A. (2012) Fitting Poisson point process models to events on a linear network. Manuscript in preparation.

plot.linim, linnet, im.

• linim
##### Examples
example(linnet)
X