A Non-Iterative Algorithm to Determine Camera Position and Orientation

Abstract

Determination of Camera position and orientation is a basic research subject in photogrammetry and computer vision. This paper introduces a new explicit approach to determine the camera-point distances based on the computer algebraic software of Matlab, then derives the basic mathematic model of pose estimation, and puts forward the analytical calculus of rotation matrix based on the Gibbs vector or Rodrigues matrix, finally presents explicit formulae of camera orientation and position. A simulative case is studied, and the result shows the presented algorithm is correct and efficient for arbitrary pose angles image.