CAJ | 학술논문

针对大量的点云数据要求快速、方便且精度高的特点,在轮廓线拼接建模方法的基础上提出一种结合主成分分析的三维表面建模方法。由结构光扫描系统获得点云；通过热传导模型将点云进行片层分割并进行主成分分析,得到纬度圈,从而获得纬度圈上的所有对应点对；在相邻点对之间进行柱面插值连接,生成物体的四边形网格模型和三维表面模型。结果显示,被测管道重构表面平均误差为0.19 mm,小于采用基于轮廓线拼接方法得到模型的平均误差。结果表明,采用基于主成分分析的方法进行管道三维表面重构,其精度得到了有效地提高,满足工程测量的精度要求；同时也证明了该方法的正确性。该重构方法适用于表面是一阶连续性被测物体尺寸及变形的分析。
침대대량적점운수거요구쾌속、방편차정도고적특점,재륜곽선병접건모방법적기출상제출일충결합주성분분석적삼유표면건모방법。유결구광소묘계통획득점운；통과열전도모형장점운진행편층분할병진행주성분분석,득도위도권,종이획득위도권상적소유대응점대；재상린점대지간진행주면삽치련접,생성물체적사변형망격모형화삼유표면모형。결과현시,피측관도중구표면평균오차위0.19 mm,소우채용기우륜곽선병접방법득도모형적평균오차。결과표명,채용기우주성분분석적방법진행관도삼유표면중구,기정도득도료유효지제고,만족공정측량적정도요구；동시야증명료해방법적정학성。해중구방법괄용우표면시일계련속성피측물체척촌급변형적분석。
In order to meet the requirements of high accuracy, high processing speed and conveniences for point data, a three-dimensional surface reconstruction is presented combining principal components analysis based on contours tiling. Using the heat conduction model, point cloud from sectional measurement acquired by structured light measuring system is divided into the object layers segmentation, from which the pair-points on adjacent latitude circles are obtained using principal component analysis. Finally, the object model through interpolating cylindrically between adjacent points on the quadrilateral grid connection is recon-structed. Experimental results indicate that the average reconstruction error of the surface model for tube object is 0.19 mm, less than 0.32 mm using the present contour tiling method. The reconstruction accuracy of the 3D surface model is improved and satis-fies the requirements of engineering measurement. The method can be applied to estimate the size and deformation of the objects with the surfaces with C1 continuity.