  Many cephalopods such as octopus and squid change their skin color
purposefully within a very short time. Furthermore, it is widely known that
some octopuses have the ability to change the color and unevenness of the skin
and to mimic the surroundings in short time. However, much research has not
been done on the entire mimicry mechanism in which the octopus recognizes the
surrounding landscape and changes the skin pattern. It seems that there is no
hypothetical model to explain the whole mimicry mechanism yet. In this study,
the mechanism of octopus skin pattern formation was assumed to be based on the
Turing model. Here, the pattern formation by the Turing model was realized by
the equivalent filter calculation model using the cellular automaton, instead
of directly solving the differential equations. It was shown that this model
can create various patterns with two feature parameters. Furthermore, for the
eyes recognition part where two features are extracted from the Turing pattern
image, our study proposed a method that can be calculated back with small
amount of calculation using the characteristics of the cellular Turing pattern
model. These two calculations can be expressed in the same mathematical frame
based on the cellular automaton model using the convolution filter. As a
result, it can be created a model which is capable of extracting features from
patterns and reconstructing patterns in a short time, the model is considered
to be a basic model for considering the mimicry mechanism of octopus. Also, in
terms of application to machine learning, it is considered that it shows the
possibility of leading to a model with a small amount of learning calculation.
