手書きパターンの変動のモデルおよび測度

概要

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In this paper, a model for distortion of handwritten patterns and a measure for the amount of distortion are proposed. Firstly, a handwritten pattern is represented by connected finite line elements, which is called a piecewise-linear curve. The piecewise-linear curve can be represented as an element fo n-dimensional vector space R^n with the angles of the line elements as its components. Secondly, distortion of a piecewise-linear curve is modeled by using a matrix A on R^n, representing a deterministic part of distortion and a n-dimensional probability vector, representing a probabilistic part. Thirdly, a measure for distortion of a piecewise-linear curve is defined by using the eigenvalues of A^TA and the probabilistic part of distortion is evaluated by its occurence probability. Finally, many samples generated by the proposed model, in which the probabilistic part is driven by Gaussian distribution, are presented, and the amounts of distortion and their occurence probabilities are evaluated. These results support the efficiency of the model and the measure of distortion.
東海大学の論文