Image Processing Reference
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x 2
b 24
b 23
b 11
b 22
b 21
x 1
a 4
a 1
a 2
a 3
a 5
a 6
FIGURE 6.11
Example of a 2-D sequential grid structure.
x 2
p L2
p R2
p
p R
p L
p L1
p R1
x 1
x 1L
x 1R
FIGURE 6.12
Interpolation of point p lying between grid line x 1 ¼ x 1L and x 1 ¼ x 1R .
x 2 x 2R1
x 2R2 x 2R1
x 2 x 2L1
x 2L2 x 2L1
where w R ¼
and w L ¼
. Once y R and y L are determined, the
value of the function at point p is obtained by
y ¼ uy L þ (
1
u ) y R
(
6
:
19
)
where
x 1 x 1R
x 1L x 1R
u ¼
( 6 : 20 )
The above technique can be easily extended to 3-D and 4-D LUTs with SLI structures.
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