【Key words】 geometric error evaluation； linear programming； the simplex method； enclosure evaluation； the minimum condition；
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In terms of the characteristics of linear programming, the features of the geometric error enclosure evaluation are analysed. The objective functions and restrictive conditions are systematically researched, and the coordinate transformation to sampled data is made.
根据线性规划的特点，分析了形位误差包容评定的特征，系统地研究了目标函数及约束条件，对样点数据进行了坐标变换的处理，建立了评定形位误差的线性数学规划模型，具体包括单包容评定和双包容评定。
参考来源 - 形位误差计算机评定系统的研究·2,447,543篇论文数据，部分数据来源于NoteExpress
详细分析了用最小二乘法和最小包容区域法评定形状误差测量结果时的不确定度估计问题。
The problems of uncertainty estimation are analyzed in detail when measurement results of form errors are evaluated with the methods of least-square and minimum zone.
包容理论就是建立构件最小外包容模型，评定其外形偏差的方法。
The theories of enveloping are to build up the minimum external enveloping model of the mechanical parts, assessing the deviation of its shape.
介绍了直线度误差评定的最小二乘法和最小包容区域法的算法模型与实现方法。
The algorithm model and the realization method of evaluating straightness error in least squares method and least envelope zone method were introduced in detail.
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