Let the vector U0 contain the input patch gray levels (or area coverages) for controlling DMA on the photoconductor for the magenta separation shown in Table 9.1 below. The vector x contains the normalized values of the measurements corresponding to each gray level. This data was produced for a maximum DMA value of 0.55 units with levels 1 and 2 controls enabled. Three patch DMA controls were used in the level 2 loop. The targets were set to [0.0384 0.1301 0.3738] DMA units. Three reference TRCs are sampled at the gray levels contained in the U0 vector. They are shown in columns (xd)1, (xd)2, and (xd)3. The shape of the reference TRCs for all gray levels are shown in Figure 9.22.

a. Construct the complete inverse TRC using static inversion process described in Section 9.9.1 with end points fixed at gray levels 0 and 255 for all three reference TRCs.

b. Show how the gray-level image appears when the image pixels are processed with and without the inverted TRCs obtained with each reference