A dimensioning system can include stored data indicative of coordinate locations of each reference element in a reference image containing a pseudorandom pattern of elements. Data indicative of the coordinates of elements appearing in an acquired image of a three-dimensional space including an object can be compared to the stored data indicative of coordinate locations of each reference element. After the elements in the acquired image corresponding to the reference elements in the reference image are identified, a spatial correlation between the acquired image and the reference image can be determined. Such a numerical comparison of coordinate data reduces the computing resource requirements of graphical comparison technologies.