A Unified Algebraic Approach to 2-D and 3-D Motion Segmentation

  title={A Unified Algebraic Approach to 2-D and 3-D Motion Segmentation},
  author={Ren{\'e} Vidal and Yi Ma},
We present an analytic solution to the problem of estimating multiple 2-D and 3-D motion models from two-view correspondences or optical flow. The key to our approach is to view the estimation of multiple motion models as the estimation of a single multibody motion model. This is possible thanks to two important algebraic facts. First, we show that all the image measurements, regardless of their associated motion model, can be fit with a real or complex polynomial. Second, we show that the… CONTINUE READING
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