A Knot Reduction Method for Written Characters by Spline Function

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  • スプライン関数による手書き文字の節点数削減
  • スプライン カンスウ ニ ヨル テガキ モジ ノ セッテンスウ サクゲン

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Abstract

In this paper, we described the algorithms of a curve fitting by use of spline and discussed the accuracy of the fitting in order to express hand-written characters with less number of knots. For the criterion of fitting, we applied the residuals, by which we determined the knots adaptively and iteratively. A method was considered to reduce the number of knots, and the method to estimate the residuals is proposed. The results of the examinations indicate that the proposed algorithm is the effectual method in knot reduction of written characters. The features of this method have the good accuracy of the fitting and the capability of making the fitting value at the origin coincide with the actual one so that the property of the characters is satisfied. A few examples of the curve fitting are illustrated in the paper.

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