Direct Solution of the 7 parameters transformation problem

Authors

Amir Hashemi, Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, 84156-83111, IranFollow
Mahzad Kalantari
Michel Kasser

Author Country (or Countries)

Iran

Abstract

In this paper, we propose a new algorithm to solve the 7 parameters transformation problem. Using Gr¨obner bases techniques and solving polynomial systems, we find, in a direct manner and without the need of a linearization, the values of the translation, rotation and a scale factor. Then, with the aid of simulated data, we will confront the algorithm to all sorts of configurations. Finally, we show the application of this algorithm in photogrammetry.

Suggested Reviewers

N/A

Recommended Citation

Hashemi, Amir; Kalantari, Mahzad; and Kasser, Michel (2013) "Direct Solution of the 7 parameters transformation problem," Applied Mathematics & Information Sciences: Vol. 07: Iss. 4, Article 15.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss4/15