Improved Altitude Spatial Resection Algorithm for Oblique Photogrammetry

Abstract

As a fundamental problem, spatial resection based on collinearity equations has been a subject of study since the beginning of photogrammetry. Owing to the nonlinearity of collinearity equations, the standard Newton–Raphson method requires approximate values for unknown parameters. Therefore, the method is inapplicable to modern oblique photogrammetry. In this letter, we propose a new altitude spatial resection algorithm that combines closed-form solutions and iterative solutions. In this algorithm, a set of homotopy algorithm solutions is first selected as the initial value on the basis of the minimum sum of the squared errors. Quasi-Newton method is then used for nonlinear iteration. Experimental results obtained from different data sets indicate excellent performance compared with serial implement.