Structure from Motion: Theoretical Foundations of a Novel Approach Using Custom Built Invariants

Details Structure from Motion: Theoretical Foundations of a Novel Approach Using Custom Built Invariants Structure from Motion: Theoretical Foundations of a Novel Approach Using Custom Built Invariants

2002-01-22

arxiv.org/abs/cs/0201019v1

Computer Science

Computer Vision and Pattern Recognition

15 pages

Scientific paper

We rephrase the problem of 3D reconstruction from images in terms of intersections of projections of orbits of custom built Lie groups actions. We then use an algorithmic method based on moving frames "a la Fels-Olver" to obtain a fundamental set of invariants of these groups actions. The invariants are used to define a set of equations to be solved by the points of the 3D object, providing a new technique for recovering 3D structure from motion.

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