测绘通报 ›› 2017, Vol. 0 ›› Issue (1): 157-160.doi: 10.13474/j.cnki.11-2246.2017.0036

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Teaching Practice of Automatic Collinear Equation Linearization Using Mathematica

BEN Jin1, YANG Chunyu2   

  1. 1. Institute of Surveying and Mapping, Information Engineering University, Zhengzhou 450001, China;
    2. Beijing Institute of Geological Engineering, Beijing 101500, China
  • Received:2016-09-27 Online:2017-01-25 Published:2017-02-06

Abstract: Imaging equation of central projection, which is usually called collinear 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.

Key words: Mathematica, collinear equation, linearization, automation, teaching practice

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