Three-dimensional particle tracking velocimetry (3D-PTV) measurements have provided accurate Eulerian and Lagrangian high-order statistics of velocity and acceleration fluctuations and correlations at Reynolds number 10,300, based on the bulk velocity and the pipe diameter. Spatial resolution required in the analysis method and number of correlation samples required for Lagrangian and Eulerian statistics have been quantified. Flaws in a previously published analyzing method have been overcome. Furthermore, new experimental solutions are presented to facilitate similar measurements at Reynolds numbers of 15,000 and beyond. The Lagrangian velocity correction functions are used to determine the Kolmogorov constant.