Sampling density for image analysis

Abstract

We show that the convergence of measures for object size to their "true values" can be analyzed by looking at the pixels (or voxels) on the border of the object. This leads to results for a proper choice for the sampling density of the asymptotic form CV=/spl sigma//spl mu/=k/spl middot/Q/sup -(N+1/2)/ where Q is the sampling density (pixels per object "diameter") and N is the number of spatial dimensions.