Quantification of eruption volumes and estimation of associated uncertainties is a fundamental task in volcanology and is a key to characterizing eruption magnitudes (M, where M = log10(m)—7.0; m = erupted mass in kg) and their relationship with eruption frequency (e.g., Mason et al. 2004).
In this paper, we address the problem of volume estimation of goods stacked on pallets and transported in pallet trucks.
Additionally, since water balance is usually calculated using a single measurement or estimate for the annual input and output volumes, the estimation of the uncertainty through the standard deviation is not applicable.
Dose calculations for radioembolization using Yttrium-90 (Y) microspheres, i.e., Theraspheres (MDS Nordion, Ottawa, Ontario, Canada) and Sirspheres (Sirtex Medical, Wilmington, MA), require calculation of liver volume and estimation of tumor burden [ 1].
Calculation of the illumination, construction of the spatiotemporal volume, and estimation of vertex velocities are performed in the preprocessing step.
However, the potential error of volume estimation is more significant compared with that of the power exponent and rollover.
This reflects difficulties in the process of volume estimation and deposit description, whereby the full extent of a deposit is very rarely identified.
For instance, to achieve the same accuracy of volume estimation in d = 15 dimensions, the combination of MEBS and OEAMC used approximately 2-fold smaller samples than the OEAMC alone (and 17 order of magnitude smaller samples than uniform sampling).
The petrophysical evaluation consists of estimation of the volumes of minerals and fluids present in the invaded and virgin zones.
