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Generalized associated point methods for sampling planar objects
Author(s) -
Jensen E. B.,
Sundberg R.
Publication year - 1986
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1111/j.1365-2818.1986.tb04673.x
Subject(s) - poisson distribution , mathematics , plane (geometry) , planar , estimator , sampling (signal processing) , bounded function , object (grammar) , point (geometry) , window (computing) , point process , variance (accounting) , distribution (mathematics) , statistics , combinatorics , geometry , mathematical analysis , computer science , artificial intelligence , computer vision , computer graphics (images) , accounting , business , filter (signal processing) , operating system
SUMMARY For estimation of the mean number of objects per unit area from observations in a bounded region (sampling window) T in the plane, a generalized associated point method is discussed. By this method, m points are associated with each object, and an object with k associated points inside T is counted with weight k/m. A general formula for the variance of the estimator is derived and explicit expressions are given for Poisson and hard‐core models for the spatial distribution of objects in the plane.