Research Of Resection Using Multiple Features Based On Helical Motion

The photogrammetric adjustment which combined with multiple features can not only reduce the dependency of the feature points,but also increase the redundancy and enhance the geometric stability of the photogrammetric adjustment,so as to improve the resolution.However,the current multi-feature geometric positioning models have the following problems:(1)The spatial coordinate transformation is decomposed into two parts: rotation and translation.Rotation is usually described by the Euler angles,the rotation and translation are solved separately.This will cause the fracture of rotation and translation in the time domain and introduce the coupling error.(2)The adjustment form is consistent with the point photogrammetry,and does not make full use of the geometric topological relations of straight lines,curves and other characteristics.Aiming at the problems of the current multi-feature geometric positioning models,this paper presents a new theory and method of resection using helical motion as the geometric basis.Based on the study of the expression of spatial lines and the mathematical description of the spatial topological relations between lines,a geometric model of multi-feature space resection based on helical motion is established.The imaging rays and the control linear features are expressed in Plücker coordinates.The helical motion of the imaging rays is realized by the dual quaternion.According to the principle of imaging geometry,the collinearity equation based on the helical motion is established for the feature points.The coplarity equation based on the helical motion is established for the feature lines,combined adjustment of feature points and feature lines is established to achieve the integrated solution of the position parameters and the attitude parameters.Experimental results show that the method proposed in this paper can obtain accurate and stable positioning results for simulated image,simulated image with Gaussian white noise and real image,and can obtain higher accuracy compared with the traditional resection method.In addition,it overcomes the shortcomings of traditional resection method that require corresponding points.The research results of this paper provide a new idea for resection of image with abundant linear features,such as urban areas.