CAJ | 학술논문

对点云进行拟合以获得信息模型是许多工程应用领域的一个核心问题，其目的是根据设计模型和规范的要求，高精度地对三维部件、工件进行检查、检核。在最小二乘原理的基础上，阐述了一种新的拟合方法——几何正交距离拟合，运用这种方法的算法处理标准几何体测量数据，并与一般代数拟合方法处理结果进行比较，分析了同一几何体运用不同方法对拟合结果的影响。得出在测量点误差较大的情况下和进行曲线曲面拟合时，几何正交距离拟合方法优于一般代数拟合方法。
대점운진행의합이획득신식모형시허다공정응용영역적일개핵심문제，기목적시근거설계모형화규범적요구，고정도지대삼유부건、공건진행검사、검핵。재최소이승원리적기출상，천술료일충신적의합방법——궤하정교거리의합，운용저충방법적산법처리표준궤하체측량수거，병여일반대수의합방법처리결과진행비교，분석료동일궤하체운용불동방법대의합결과적영향。득출재측량점오차교대적정황하화진행곡선곡면의합시，궤하정교거리의합방법우우일반대수의합방법。
Fitting point cloud to achieve the information of model is a central issue in many fields of engineering applica-tions. Its purpose is to inspect and check workpiece and three-dimensional parts according to the design model and the requirement of specification. The paper introduces a new fitting method on the basis of the least squares principle——the geometrical orthogonal distance fitting. It uses the orthogonal distance fitting algorithm to process measurement data of the geometry, and compares the fitting precision of the data with the result of general algebraic fitting method. Then the paper analyzes the result of fitting using different methods on the same geometry. It proves that larger error in the measure-ment point and to carry on the curve and surface fitting, orthogonal distance fitting is better than the general algebra method of least squares fitting.