Y. Wada et al., COMPUTATIONAL THEORY FOR MOVEMENT PATTERN-RECOGNITION BASED OPTIMAL MOVEMENT PATTERN GENERATION, Biological cybernetics, 73(1), 1995, pp. 15-25
We have previously proposed an optimal trajectory and control theory f
or continuous movements, such as reaching or cursive handwriting. Acco
rding to Marr's three-level description of brain function, our theory
can be summarized as follows: (1) The computational theory is the mini
mum torque-change model; (2) the intermediate representation of a patt
ern is given as a set of via-points extracted from an example pattern;
and (3) algorithm and hardware are provided by FIRM, a neural network
that can generate and control minimum torque-change trajectories. In
this paper, we propose a computational theory for movement pattern rec
ognition that is based on our theory for optimal movement pattern gene
ration. The three levels of the description of brain function in the r
ecognition theory are tightly coupled with those for pattern generatio
n. In recognition, the generation process and the recognition process
are actually two flows of information in opposite directions within a
single functional unit. In our theory, if the input movement trajector
y data are identical to the optimal movement pattern reconstructed fro
m an intermediate representation of some symbol, the input data are re
cognized as that symbol. If an error exists between the movement traje
ctory data and the generated trajectory, the putative symbol is correc
ted, and the generation is repeated. In particular, we present concret
e computational procedures for the recognition of connected cursive ha
ndwritten characters, as well as for the estimation of phonemic timing
in natural speech. Our most important contribution is to demonstrate
the computational realizability for the 'motor theory of movement patt
ern perception': the movement-pattern recognition process can be reali
zed by actively recruiting the movement-pattern formation process. The
way in which the formation process is utilized in pattern recognition
in our theory suggests a duality between movement pattern formation a
nd movement pattern perception.