利用Mathematica实现共线条件方程自动线性化的教学实践

中心投影构像方程通常称为共线条件方程，它是摄影测量学的理论基石。共线条件方程线性化是建立摄影测量平差数学模型的前提，对初学者掌握解析空中三角测量的基本原理具有重要意义。针对专业课教学中人工线性化工作量大、容易出错、枯燥乏味等不足，本文采用Mathematica科学计算软件设计了计算机自动线性化方案。实践表明，该方案具有简便、准确、灵活等特点，能帮助初学者迅速掌握线性化技巧，教学效果良好。提出的思路和方法为提升专业课教学质量、促进教学改革探索了有效途径。

Teaching Practice of Automatic Collinear Equation Linearization Using Mathematica

Imaging equation of central projection,which is usually called eollinear equation,is the theoretical basis of photogrammetry.Collinear equation linearization is the premise to build the mathematic models of photogrammetry adjustment,so it is of great importance for beginners to grasp the fundamentals of analytical aerial triangulation.Artificial linearization is of heavy workload,easy to get wrong and boring.In view of this,automatic linearization scheme using Mathematica is designed.Practice shows that this scheme is easy,correct and flexible and it can help beginners master the skills of linearization quickly with great teaching efficiency.Ideas and methods mentioned in this paper also explore an effective way for promoting teaching quality of specialized courses and facilitating educational reform.