形状固有値を用いた凸平面図形の一識別手法

概要

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In this paper, a method is proposed to discriminate simple geometric shape patterns such as a triangle, a square, a regular pentagon, a regular hexagon, a circle, a rhombus, a trapezoid etc.. The pattern-classification value is used as a new parameter of feature extraction of shape pattern. The pattern-classification value is detected by projecting the shape pattern perpendicularly on the reference line. In the projected pattern of the shape, let Ax stand for the largest width on the reference line, Ay stand for the largest height from the reference line and Aa stand for the area of the pattern. The pattern-classification value is defined as the ratio of Aa to the product of Ax and Ay.Some simple shapes are theoretically analyzed. The general characteristics of the pattern-classification value are that it is constant with a circle and regular polygons except multiple-of-four polygons. However, in the multiple-of-four polygons, the pattern-classification value changes by changing the postural angle and maintains a 180° period of cycle. Therefore, these characteristics can be utilized in the pattern discrimination of simple shapes. Some of the experimental results show a good a-greement with those of the theoretical analysis.
公益社団法人計測自動制御学会の論文