Three Dimensional Displacement Measurement Using Ring Beam (2nd Report)

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  • リングビームを用いた三次元変位測定法（第2報）
  • リングビーム オ モチイタ 3ジゲン ヘンイ ソクテイホウ ダイ2ホウ リングイメージ ノ ダエン キンジ ニ ヨル ヒセンケイセイ ノ カイゼン
  • - Improvement of Nonlinearity by Ellipse Approximation of Ring Image -
  • －リングイメージの楕円近似による非線形性の改善－

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For three dimensional positioning of a complex three dimensional mechanism flexibly, it is needs to measure three dimensional displacement of an end-effecter of the mechanism in high precision by non-contact method. Therefore, the novel three dimensional displacement measurement method has been proposed using the optical system which brings a focus together in the center of a target sphere applied with the ring shaped beam. In the previous report, the ring shaped image on a CCD image sensor was approximated as a circle by least squares method. However, the nonlinearity of this approximation was large. In this report, we propose that the ring shaped image is approximated as an ellipse by least squares method to improve the nonlinearity. Firstly, the theoretical analysis and simulations of the approximation are carried out. Secondary, using an improved data processing method, the validity of the approximation method is confirmed by the series of the experiments.

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