【摘要】：利用“球面上任意3點(diǎn)確定的平面與球的相交曲線為圓,該截面圓心與球心的連線(球截面圓心法線)垂直于圓平面”的幾何關(guān)系,提出一種基于球體幾何關(guān)系的球標(biāo)靶特征提取算法。通過(guò)對(duì)球標(biāo)靶點(diǎn)云構(gòu)建多組截面圓,對(duì)截面圓設(shè)定約束條件,構(gòu)造球心到球截面圓心法線距離平方和的目標(biāo)函數(shù),以此目標(biāo)函數(shù)最小為條件求解球標(biāo)靶的球心坐標(biāo)。通過(guò)實(shí)驗(yàn)比較本文方法、最小二乘方法、整體最小二乘方法、加權(quán)整體最小二乘方法和穩(wěn)健加權(quán)整體最小二乘方法對(duì)球標(biāo)靶的處理效果,結(jié)果表明本文方法具有較高的準(zhǔn)確性和穩(wěn)健性。
[Abstract]:The geometric relation of the line between the center of the spherical section and the center of the sphere (normal line of the center of the spherical section) perpendicular to the plane of the sphere is used to make use of the curve of intersection between the plane and the sphere determined by any three points on the sphere. A ball target feature extraction algorithm based on sphere geometry relationship is proposed. By constructing multi-group cross-section circle of spherical target point cloud and setting constraint conditions on cross-section circle, the objective function of square sum of normal distance from spherical center to spherical section is constructed. The minimum objective function is used as the condition to solve the spherical center coordinate of spherical target. The results show that the proposed method has high accuracy and robustness.
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本文編號(hào)：2127629