Motion and Structure from Orthographic Projections
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape and motion from image streams under orthography: a factorization method
International Journal of Computer Vision
Three-dimensional computer vision: a geometric viewpoint
Three-dimensional computer vision: a geometric viewpoint
3D motion recovery via affine epipolar geometry
International Journal of Computer Vision
Motion from Three Weak Perspective Images Using Image Rotation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Epipolar Geometry in Stereo, Motion, and Object Recognition: A Unified Approach
Epipolar Geometry in Stereo, Motion, and Object Recognition: A Unified Approach
Least Squares Estimation of 3D Shape and Motion of Rigid Objects from Their Orthographic Projections
IEEE Transactions on Pattern Analysis and Machine Intelligence
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In this paper, we describe a new simple linear algorithm for motion and structure from three weak perspective projections using Euler angles. We first determine the epipolar equation between each pair of images, which determines the first and third Euler angles for the rotation between that pair of images, leaving only the second Euler angle undetermined. In the next step, combining the three rotations results in a very simple linear algorithm to determine the second Euler angles, up to a Necker reversal. Experimental results on synthetic and real images are presented. The degenerate cases are discussed. The program can be ftped from http://www.cv.cs.ritsumei.ac.jp/noriko/motion.html.