A Solution to Space Resection Based on Pattern Search Method

摘要

Single-image space resection is a fundamental issue of photogrammetry. This paper design an anti-symmetric matrix to constitute Rodrigues matrix, used to represent the rotation matrix, then establish the mathematical model of space resection applied to pattern search method, finally use pattern search method to directly solve the three elements of the anti-symmetric matrix, further obtain the attitude elements and line elements. This algorithm needs no linearization but objective function value, and has weak demand of initial values of 3 elements of the anti-symmetric matrix, no matter the attitude angles are small or large (in the paper, the three elements are initially set to zero, equivalently, initial values of attitude elements are all zero). Illustrative examples are given to validate the method.