Image Processing Reference

In-Depth Information

(2)

The radius (
r
) of the circular arc can be expressed as follows:

(3)

The circular arc can be expressed as follows:

(4)

Using Equation
(4)
, we can get the illumination image directly and quickly. The circular arc

FIGURE 2
Fitting circular arc.

According to Equation
(4)
, we can know that the circular arc takes two parameters called
x
0

and
λ
. The smaller
x
0
is, the more obvious the brightness enhancement is. The greater
λ
is, the

more obvious the brightness enhancement is. It can be seen that the darker the input image

is, the smaller
x
0
is and the greater
λ
is, and vice versa. Therefore, we assign the average pixel

value of the source image to
λ
.
x
0
is represented by the following formula:

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