42
2 Voxel-Based Inversion Via Set-Theoretic Estimation
Fastener
Crack
Crack
Host
Host
BOTTOM
TOP
Fastener
Fig. 2.15 Showing a fastener with multisite damage (the ‘crack’) embedded in a host region
and cell number 128 is in the lower-right corner. The length and width of the flaw
will be 10 mm, and the depth 2.5 mm.
The data for the inversion experiments are gotten by assuming a transmit-receive
system, in which the transmitter and receiver coils move independently of each
other. The transmitter coil is taken to have an inner radius of 5 mm, an outer radius
of 10 mm, a height of 2 mm, and to contain 200 turns. It undergoes a 4 × 4 raster
scan in the (x, y) plane, which means that there are sixteen ‘experiments,’ in the
language of set-theoretic estimation theory. The scan increment in the x- and ydirections is 3.3333 mm, which means that the raster scan covers the entire range of
10 × 10 square-millimeters of the flaw. The lift-off of the transmitter coil is 1 mm.
The receiver coil undergoes a 32 × 32 raster scan in the (x, y)-plane, again
covering the 10 × 10 square-millimeters of the flaw. The inner radius of the receive
coil is assumed to be 1 mm, the outer radius 2 mm, and the height 0.5 mm. The
receive coil contains 200 turns, and its scan lift-off is zero.
2 Voxel-Based Inversion Via Set-Theoretic Estimation
Fastener
Crack
Crack
Host
Host
BOTTOM
TOP
Fastener
Fig. 2.15 Showing a fastener with multisite damage (the ‘crack’) embedded in a host region
and cell number 128 is in the lower-right corner. The length and width of the flaw
will be 10 mm, and the depth 2.5 mm.
The data for the inversion experiments are gotten by assuming a transmit-receive
system, in which the transmitter and receiver coils move independently of each
other. The transmitter coil is taken to have an inner radius of 5 mm, an outer radius
of 10 mm, a height of 2 mm, and to contain 200 turns. It undergoes a 4 × 4 raster
scan in the (x, y) plane, which means that there are sixteen ‘experiments,’ in the
language of set-theoretic estimation theory. The scan increment in the x- and ydirections is 3.3333 mm, which means that the raster scan covers the entire range of
10 × 10 square-millimeters of the flaw. The lift-off of the transmitter coil is 1 mm.
The receiver coil undergoes a 32 × 32 raster scan in the (x, y)-plane, again
covering the 10 × 10 square-millimeters of the flaw. The inner radius of the receive
coil is assumed to be 1 mm, the outer radius 2 mm, and the height 0.5 mm. The
receive coil contains 200 turns, and its scan lift-off is zero.