Interpolation of Multidimensional Functions - Control of Color Imaging Systems: Analysis and Design - page 252

TABLE 6.3
LUT for a Two-Input
Two-Output System

x 1 x 2 y 1 y 2

0 0 0 0

0 1 1 3

0 2 2 6

1 0 2 1

1 1 3 4

1 2 4 7

2 0 4 2

2 1 5 5

2 2 6 8

y 2

x 2

2

y 2

d

c

p 11

1

p 01

x 2

p 00

p 10

e

b

0 x 1 y 1

y 1

x 1

FIGURE 6.5 Range and domain of the two functions y 1 (x 1 , x 2 ) and y 2 (x 1 , x 2 ).

S OLUTION
The values of u and t are

1 : 5 1 0 : 6 0

u ¼

1 ¼

0 : 5 and t ¼

0 ¼

0 : 6

2 1

since x 1 is between 1 and 2, and x 2 is between 0 and 1, the four surrounding points
in x 1 x 2 space and their corresponding

values are

y 1
y 2

, , d ¼ ,

1
0

1
1

2
1

2
0

b ¼ c ¼ and e ¼

, , ,

2
1

3
4

5
5

4
2

p 00 ¼ p 01 ¼ p 11 ¼ and p 10 ¼