Determination of Gauss-Krüger Projection Parameters with Minimizing Maximum Projection Deformation for Large-Scale Engineering

Abstract

Currently, engineering construction is placing increasing demands on the accuracy of engineering measurement. Projection deformation has a significant effect on engineering measurement accuracy, representing a significant challenge in the field of high-precision measurement. In the case of Gauss-Krüger projection of arbitrary zone, setting the projection reference position in the center of the survey area will not necessarily guarantee the minimum possible projection deformation. This article presents a method for determining the projection reference position of Gauss-Krüger projection based on the minimum standard of the maximum projection deformation, along with the maximum applicable range of the projection parameter. Results demonstrate lower absolute values of length differences, smaller standard deviations of side length differences, and superior overall results. In comparison to existing methods, the proposed method has a broader scope of application.