Detection, 3-D positioning, and sizing of small pore defects using digital radiography and tracking

EURASIP Journal on Advances in Signal Processing

Table 5 Tracker DOE iterations

Set	Name	Min	Max	Frozen	Unit
1	T ₁	-300	-200	-300
	T ₂	-2	-1.8		10³
	$d_{upd}^{2}$	6	8	8	10⁵
	$d_{0}^{2}$	20	80	20
	δ _u	0.33	0.35		mm
	R	1.4	8		10^-5 mm²
	R _ω	7	10		10^-7 rad²
	$P_{x, y, z}^{0}$	0.01	0.03		mm
	$P_{ω}^{0}$	1	3	1	10^-4 rad
	S _mht	6	15
2	T ₂	-10	-9	-9	10³
	δ _u	0.25	0.35	0.25	mm²
	R	2	20		10^-5 mm²
	R _ω	7	30		10^-7 rad²
	$P_{x}^{0}$	0.01	0.1	0.05	mm
	S _mht	3	15
3	R	2	20	6.5	10^-5 mm²
	R _ω	7	30	10	10^-7 rad²
	S _mht	3	15

Overview of the iterative DOE approach leading to, in this case, one sensitivity control parameter S_mht. Frozen refers to fixed value after conclusions were drawn using the responses of the active set. The parameters $P_{x}^{0}, P_{y}^{0}, P_{z}^{0}, S_{ω}^{0}$ are the diagonal elements of the initial covariance matrix in the tracker.