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2004
IEEE

The Multibody Trifocal Tensor: Motion Segmentation from 3 Perspective Views

11 years 3 months ago
The Multibody Trifocal Tensor: Motion Segmentation from 3 Perspective Views
We propose a geometric approach to 3-D motion segmentation from point correspondences in three perspective views. We demonstrate that after applying a polynomial embedding to the correspondences they become related by the so-called multibody trilinear constraint and its associated multibody trifocal tensor. We show how to linearly estimate the multibody trifocal tensor from point-point-point correspondences. We then show that one can estimate the epipolar lines associated with each image point from the common root of a set of univariate polynomials and the epipoles by solving a plane clustering problem in R3 using GPCA. The individual trifocal tensors are then obtained from the second order derivatives of the multibody trilinear constraint. Given epipolar lines and epipoles, or trifocal tensors, we obtain an initial clustering of the correspondences, which we use to initialize an iterative algorithm that finds an optimal estimate for the trifocal tensors and the clustering of the corr...
René Vidal, Richard I. Hartley
Added 12 Oct 2009
Updated 29 Oct 2009
Type Conference
Year 2004
Where CVPR
Authors René Vidal, Richard I. Hartley
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