Image Processing Reference

In-Depth Information

the trout. Its high is proportional to the canalization base length to avoid extra data to be cap-

tured.

3 Statistical Measuring Approach

In this section, we present our statistical approach to measure rainbow trout.

Considering the rainbow trout natural swimming movement against the water flow and ob-

serving the trout from a downward point of view, we hypothesized that a
third- order curve

could approximate the trout's body within the water.

Diferent procedures can be followed to obtain a third-order curve equation. However, we

prefer a simple but effective solution that could be executed online after a trout's image is cap-

tured.

Then, given
n
sample points (
x
,
y
) which depict the trout body, we apply minimum squares

(1)

where
a
0
,
a
1
,
a
2
,
a
3
are constants that gain their values by solving the [4 × 4] equation system
(2)
:

(2)

The equation system
(2)
can be easily solved using the matrix notation,
AX
=
B
, or more spe-

ciically:
X
=
BA
− 1
.

After this computation, we obtained the best regression curve that adjusts the trout's body

captured into an RGB image.

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