Individual tooth widths w were accounted for, and a standardized, dimensionless radial distances variable X="|x/w-0.5| was utilized to express the radial position of measurements in a unified way.
Several factors must be considered to obtain an accurate response from the PET system, such as the source dimensions, type of isotope, media surrounding the point source (air, water, or warm radioactive background), and the number and position of measurements to account for all possible responses of the system [17].
The process resulted in a reduction of measurement noise and an optimal fit, in terms of the positioning of measurement devices.
The positions of measurement points were thus not well controlled with reference to bathymetric and geological features and/or biological activities.
The positions of measurement included those inside the heterogeneous medium and near/at the interfaces.
The likelihood of the decorrelated Doppler component conditioned on the position component of measurement (textbf {y}_{k_{tau },i}^{g}) is calculated in (36).
where ({mathbf {y}_{k,i}^{g,p}}) is the position component of measurement ({mathbf {y}_{k,i}^{g}}) and ({w_{k,i}^{g}}) is the decorrelated Doppler component of measurement ({mathbf {y}_{k,i}^{g}}).
The augmented measurement matrix with respect to the position component of measurement becomes mathbf{H}^{text{AS},{p}} = left[ {begin{array}{*{20}c} {mathbf{H} }_{k}^{p} & {textbf{0}_{m,ntimes (N }} end{array}} right], (23).
