The intensity function is assumed to be log linear in the parameters . So
where is a real-valued or vector-valued function of location s. can include a polynomial function of coordinate variables or a spatial covariate. The log likelihood for the parameters is given by
The integral in the expression for the log likelihood can be approximated using quadrature as
for some quadrature weights . Hence, the log likelihood can be rewritten as follows:
Based on the observation by Berman and Turner (1992) and Baddeley and Turner (2000), the log likelihood can be approximated as
where . If the list of points also includes the collection of data points , then and
The log pseudolikelihood can be maximized using standard optimization algorithms.