The function as.tess is generic. The function
as.tess.rppm is the method for class "rppm".
In a recursively partitioned point process model,
the intensity function
of the point process can be evaluated at any spatial location
by following a decision tree. Each fork in the tree is defined by a split
on the value of one of the spatial covariates. The tree is followed
until reaching a leaf (terminal node) and this determines the value
of the intensity.
The tree itself can be visualised by plot.rppm.
This function as.tess.rppm produces a spatial representation
of the model. It interprets each fork in the tree as a division
of space into two complementary subsets. Each leaf (terminal node)
is an intersection of several such sets. The model corresponds to a
division of space into disjoint subsets, that is, a tessellation.
The result is a tessellation in which each tile
corresponds to a leaf of the decision tree.
The tilenames of the tessellation are expressions
representing the logical conditions which define each tile
(redundant conditions are omitted).
The marks of the tessellation are the intensity values.